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/dokumenty/skolni/PRA1/11-Rotace/Rotace.pdf
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/dokumenty/skolni/PRA1/11-Rotace/Rotace.tex
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\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Dynamika rotačího pohybu}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{26.10.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
\end{abstract}
\section{Pracovní Úkoly}
\begin{enumerate}
\item V domácí přípravě odvoďte vzorec pro výpočet momentu setrvačnosti válce a dutého válce.
\begin{equation}
I = \frac{1}{2} MR^2
\end{equation}
\begin{equation}
I = \frac{1}{2} M(R_1^2 + R_2^2)
\end{equation}
\item Změřte momenty setrvačnosti přiložených rotačních objektů experimentálně a porovnejte je s hodnotami z teoretických vzorců. Měření proveďte alespoň pětkrát. Použijte disk, disk + prstenec a pomocí nich stanovte moment setrvačnosti samotného prstence.
\item Změřte moment setrvačnosti disku, umístěného na dráze mimo osu rotace a pomocí výsledků z předchozího úkolu ověřte platnost Steinerovy věty.
\item Ověřte zákon zachování momentu hybnosti. Do protokolu přiložte graf závislosti úhlové rychlosti rotace na čase.
\item Změřte rychlost precese gyroskopu jak přímo senzorem, tak i nepřímo z měření rychlosti rotace disku. Měření proveďte alespoň pětkrát. Obě hodnoty porovnejte.
\end{enumerate}
\section{Postup měření}
\subsection{Měření momentu setrvačnosti}
Moment hybnosti jsme měřili roztáčením tělesa přes kladku pomocí definovaného závaží, Ze záznamu časového průběhu rychlosti lze proložením přímkou určit moment setrvačnosti tělesa. Změřená data jsou vidět v následujících grafech.
\begin{figure}
\includegraphics[width=150mm]{./data/rotace1.pdf}
\caption{Data z mereni momentu setrvacnosti disku}
\end{figure}
\begin{figure}
\includegraphics[width=150mm]{./data/rotace_prstenec1.pdf}
\caption{Data z mereni momentu setrvacnosti disku a prstence}
\end{figure}
\subsection{Zachování momentu hybnosti}
Při měření jsme postupovali prakticky totožně, jako při měření momentu setrvačnosti, ale hmotnost byla rozložena ve dvou závažích, které jsme během otáčení zatažením za šňůrku sesunuli k sobě.
\includegraphics[width=150mm]{./data/rotace_zmena.pdf}
Proložením dat jsme spočítali momenty setrvačnosti disku $(9.63 \pm 0,05) 10^{-3} kgm^2$ dále moment setrvačnosti prstence $(5.11 \pm 0,01) 10^{-3} kgm^2$. úkolem také bylo ověřit platnost Steinerovy věty, k tomu jsme stejným způsobem museli nejdříve změřit moment setrvačnosti držáku $(12.81 \pm 0,02) 10^{-3} kgm^2$ a následně celého systému s prstencem posunutým o 50mm od osy rotace. V takovém případě byl moment setrvačnosti $(10.31 \pm 0,06) 10^{-3} kgm^2$
\subsection{Zachování momentu hybnosti}
Při tomto úkolu jsme na držák přidali dvě závaží tak aby je bylo možné je během rotace šňůrkou stáhnout k sobě.
Tím se změnila úhlová rychlost z 2,5 rad/s na 9,2 rad/s při změně momentu setrvačnosti z 0.0254 $kgm^2$ na 0.0073 $kgm^2$ aby moment hybnosti zůstal zachován s chybou 5\%.
\subsection{Precese gyroskopu}
Precesi gyroskopu jsme měřili tak že v jsme jej v klidu vyvážili a na straně s gyroskopem zatížili definovaným závažím o hmotnosti 17,9 g. Které působí na gyroskop tíhovou silou. Která způsobuje precesi gyroskopu kolem svislé osy.
\begin{table}[htbp]
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{1}{|l|}{$\omega_{P} [rad/s]$} & \multicolumn{1}{l|}{$\delta_{\omega P} [\%]$} & \multicolumn{1}{l|}{$\omega_S [rad/s]$} & \multicolumn{1}{l|}{$\Omega_S [rad/s]$} & \multicolumn{1}{l|}{$\Omega_M [rad/s]$} & \multicolumn{1}{l|}{$\delta_{\omega M} [rad/s]$} & \multicolumn{1}{l|}{$\Delta_{\Omega} [-]$} & \multicolumn{1}{l|}{$\delta_{\Omega} [\%]$} \\ \hline
77.3891 & 0.030 & 157.2051 & 0.0181 & 0.0107 & 59.280 & 0.0074 & 41.04 \\ \hline
89.5982 & 0.015 & 182.0062 & 0.0157 & 0.0154 & 66.040 & 0.0002 & 1.42 \\ \hline
97.5382 & 0.022 & 198.1352 & 0.0144 & 0.0086 & 199.800 & 0.0058 & 40.13 \\ \hline
71.8631 & 0.032 & 145.9798 & 0.0195 & 0.0309 & 10.810 & -0.0114 & 58.32 \\ \hline
61.4821 & 0.030 & 124.8923 & 0.0228 & 0.0199 & 28.180 & 0.0029 & 12.81 \\ \hline
\end{tabular}
\caption{Změřené a vypočtené hodnoty precese}
\label{Precese}
\end{table}
\section{Diskuse}
Největším problémem bylo měření zachování momentu hybnosti, kdy aparatura přecházela při změně konfigurace závaží do neopakovatelně definovaných stavů, což pravděpodobně způsobilo značnou chybu.
\section{Závěr}
Z naměřených dat lze potvrdit že momenty setrvačností objektů rotujících na téže ose se sčítají. A moment hybnosti se při změně momentu setrvačnosti zachovává. Průměrná hodnota precese gyroskopu nám vyšla 0,0176 rad/s.
\begin{thebibliography}{99}
\bibitem{oscilace}{Zadání úlohy 11 - Dynamika rotačního pohybu}. \href{http://praktika.fjfi.cvut.cz/RotacniPohyb/}{http://praktika.fjfi.cvut.cz/RotacniPohyb/}.
\end{thebibliography}
\end{document}
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/dokumenty/skolni/PRA1/11-Rotace/Obrazky/Steiner.jpg
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/dokumenty/skolni/PRA1/11-Rotace/data/rotace.gp
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set terminal postscript
set output "rotace1.ps"
set key off
set xlabel "Time [s]"
set ylabel "Velocity [rad/s]"
#set data style lines
plot "rotace1.txt" using 1:2
!ps2pdf rotace1.ps
set output "rotace_prstenec1.ps"
plot "rotace_prstenec1.txt" using 1:2
!ps2pdf rotace_prstenec1.ps

/dokumenty/skolni/PRA1/11-Rotace/data/rotace1.pdf
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/dokumenty/skolni/PRA1/11-Rotace/data/rotace1.ps
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/dokumenty/skolni/PRA1/11-Rotace/data/rotace_prstenec.pdf
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/dokumenty/skolni/PRA1/11-Rotace/data/rotace_prstenec1.txt
0,0 → 1,78
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Property changes:
Added: svn:executable
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/dokumenty/skolni/PRA1/11-Rotace/data/rotace_zmena.gp
0,0 → 1,8
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plot "rotace_zmena1.txt" using 1:2
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/dokumenty/skolni/PRA1/11-Rotace/data/rotace_zmena.pdf
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%
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% XX = 0/1 for no/yes cross-hatch
%
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2 lt
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bind def
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/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
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>> matrix makepattern
/Pat3 exch def
<< Tile8x8
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>> matrix makepattern
/Pat4 exch def
<< Tile8x8
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>> matrix makepattern
/Pat5 exch def
<< Tile8x8
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>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
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>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
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/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
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} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
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%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
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/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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%%Trailer
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%%Pages: 1

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_zmena1.txt
0,0 → 1,48
0.571983 2.67
0.808548 2.64
1.047003 2.63
1.286544 2.62
1.526028 2.63
1.742193 3.25
1.885989 6.65
1.969245 8.72
2.041020 8.79
2.112857 8.70
2.185412 8.62
2.258495 8.58
2.331903 8.54
2.405546 8.52
2.479318 8.51
2.553192 8.50
2.627072 8.51
2.701073 8.47
2.775253 8.47
2.849642 8.43
2.924468 8.37
2.999692 8.34
3.075223 8.30
3.150961 8.29
3.226766 8.29
3.302598 8.29
3.378400 8.29
3.454329 8.26
3.530475 8.25
3.606897 8.20
3.683821 8.14
3.761199 8.10
3.838931 8.06
3.916885 8.06
3.994897 8.05
4.072940 8.05
4.150938 8.06
4.229046 8.03
4.307354 8.02
4.385874 7.98
4.464818 7.93
4.544137 7.91
4.623762 7.87
4.703618 7.86
4.783556 7.86
4.863533 7.85
4.943482 7.86
5.023550 7.83
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/disk_gyroskop.txt
0,0 → 1,86
Velocity, Run #17
Time ( s ) Velocity ( rad/s )
0,586023 1,26
1,015586 1,74
1,346045 2,10
1,626710 2,40
1,875056 2,67
2,100319 2,92
2,307712 3,15
2,500783 3,37
2,681861 3,58
2,853869 3,73
3,018205 3,92
3,174972 4,10
3,325559 4,25
3,470610 4,41
3,610690 4,56
3,746299 4,71
3,877761 4,85
4,005361 5,00
4,129207 5,15
4,250325 5,23
4,368972 5,37
4,484684 5,49
4,597969 5,60
4,708975 5,72
4,817766 5,83
4,924438 5,95
5,029053 6,06
5,131685 6,18
5,232299 6,31
5,331597 6,35
5,429661 6,47
5,526017 6,58
5,620911 6,67
5,714393 6,78
5,806521 6,86
5,897349 6,97
5,986823 7,07
6,075031 7,17
6,162050 7,27
6,248380 7,29
6,333945 7,40
6,418347 7,49
6,501818 7,56
6,584338 7,66
6,665923 7,74
6,746602 7,84
6,826278 7,94
6,905040 8,02
6,983012 8,10
7,060597 8,10
7,137659 8,21
7,213846 8,29
7,289359 8,35
7,364132 8,45
7,438181 8,52
7,511550 8,61
7,584137 8,70
7,656026 8,78
7,727328 8,85
7,798390 8,84
7,869123 8,93
7,939190 9,01
8,008749 9,06
8,077757 9,15
8,146199 9,21
8,214100 9,30
8,281368 9,39
8,348066 9,46
8,414321 9,51
8,480441 9,49
8,546329 9,58
8,611670 9,65
8,676579 9,71
8,741024 9,79
8,805003 9,85
8,868533 9,93
8,931527 10,02
8,994051 10,08
9,056208 10,13
9,118332 10,09
9,180285 10,19
9,241755 10,25
9,302891 10,30
9,363625 10,39
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/drzak_gyroskop.txt
0,0 → 1,80
Velocity, Run #17
Time ( s ) Velocity ( rad/s )
0,122975 3,20
0,307835 3,63
0,473011 4,00
0,623902 4,34
0,763489 4,67
0,894022 4,96
1,016962 5,27
1,133722 5,50
1,245266 5,77
1,351885 6,02
1,454551 6,22
1,553685 6,46
1,649484 6,66
1,742381 6,87
1,832496 7,08
1,920114 7,26
2,005318 7,49
2,088473 7,63
2,169852 7,82
2,249295 8,00
2,327183 8,13
2,403587 8,32
2,478465 8,47
2,552002 8,62
2,624167 8,79
2,695045 8,94
2,764559 9,14
2,833113 9,19
2,900800 9,38
2,967296 9,52
3,032943 9,62
3,097694 9,79
3,161519 9,90
3,224559 10,03
3,286703 10,19
3,348029 10,30
3,408480 10,49
3,468434 10,47
3,527892 10,66
3,586525 10,77
3,644670 10,84
3,702226 10,99
3,759143 11,09
3,815525 11,20
3,871264 11,35
3,926331 11,47
3,980813 11,59
4,035023 11,59
4,088862 11,75
4,142114 11,85
4,195006 11,91
4,247449 12,05
4,299402 12,14
4,350928 12,25
4,401987 12,36
4,452549 12,49
4,502598 12,62
4,552546 12,54
4,602323 12,70
4,651607 12,80
4,700647 12,83
4,749365 12,97
4,797675 13,05
4,845620 13,16
4,893202 13,25
4,940364 13,40
4,987094 13,49
5,033792 13,42
5,080406 13,54
5,126606 13,66
5,172575 13,68
5,218284 13,82
5,263648 13,89
5,308704 14,00
5,353437 14,09
5,397852 14,21
5,441947 14,29
5,486046 14,20
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_precese1.txt
0,0 → 1,167
Precese, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -0,016
0,1500 0,016
0,2500 0,000
0,3500 0,000
0,4500 -0,063
0,5500 -0,094
0,6500 -0,126
0,7500 -0,157
0,8500 -0,188
0,9500 -0,173
1,0500 -0,157
1,1500 -0,141
1,2500 -0,094
1,3500 -0,063
1,4500 -0,016
1,5500 -0,016
1,6500 0,000
1,7500 -0,016
1,8500 -0,031
1,9500 -0,079
2,0500 -0,110
2,1500 -0,126
2,2500 -0,173
2,3500 -0,173
2,4500 -0,157
2,5500 -0,141
2,6500 -0,110
2,7500 -0,094
2,8500 -0,031
2,9500 -0,031
3,0500 -0,016
3,1500 -0,016
3,2500 -0,031
3,3500 -0,063
3,4500 -0,079
3,5500 -0,126
3,6500 -0,141
3,7500 -0,157
3,8500 -0,157
3,9500 -0,141
4,0500 -0,126
4,1500 -0,110
4,2500 -0,063
4,3500 -0,047
4,4500 -0,031
4,5500 -0,031
4,6500 -0,016
4,7500 -0,047
4,8500 -0,079
4,9500 -0,094
5,0500 -0,126
5,1500 -0,141
5,2500 -0,157
5,3500 -0,141
5,4500 -0,141
5,5500 -0,110
5,6500 -0,094
5,7500 -0,063
5,8500 -0,047
5,9500 -0,031
6,0500 -0,031
6,1500 -0,047
6,2500 -0,063
6,3500 -0,079
6,4500 -0,110
6,5500 -0,141
6,6500 -0,141
6,7500 -0,141
6,8500 -0,141
6,9500 -0,110
7,0500 -0,094
7,1500 -0,079
7,2500 -0,063
7,3500 -0,047
7,4500 -0,047
7,5500 -0,047
7,6500 -0,063
7,7500 -0,079
7,8500 -0,094
7,9500 -0,126
8,0500 -0,126
8,1500 -0,141
8,2500 -0,126
8,3500 -0,126
8,4500 -0,110
8,5500 -0,079
8,6500 -0,079
8,7500 -0,047
8,8500 -0,063
8,9500 -0,047
9,0500 -0,079
9,1500 -0,079
9,2500 -0,094
9,3500 -0,110
9,4500 -0,126
9,5500 -0,126
9,6500 -0,126
9,7500 -0,110
9,8500 -0,110
9,9500 -0,094
10,0500 -0,063
10,1500 -0,079
10,2500 -0,063
10,3500 -0,063
10,4500 -0,079
10,5500 -0,079
10,6500 -0,094
10,7500 -0,110
10,8500 -0,126
10,9500 -0,126
11,0500 -0,110
11,1500 -0,110
11,2500 -0,110
11,3500 -0,094
11,4500 -0,079
11,5500 -0,079
11,6500 -0,063
11,7500 -0,079
11,8500 -0,094
11,9500 -0,079
12,0500 -0,110
12,1500 -0,094
12,2500 -0,110
12,3500 -0,126
12,4500 -0,110
12,5500 -0,110
12,6500 -0,094
12,7500 -0,094
12,8500 -0,094
12,9500 -0,094
13,0500 -0,079
13,1500 -0,079
13,2500 -0,094
13,3500 -0,094
13,4500 -0,094
13,5500 -0,094
13,6500 -0,110
13,7500 -0,110
13,8500 -0,110
13,9500 -0,110
14,0500 -0,094
14,1500 -0,110
14,2500 -0,094
14,3500 -0,079
14,4500 -0,094
14,5500 -0,094
14,6500 -0,094
14,7500 -0,094
14,8500 -0,110
14,9500 -0,110
15,0500 -0,110
15,1500 -0,110
15,2500 -0,094
15,3500 -0,110
15,4500 -0,094
15,5500 -0,094
15,6500 -0,094
15,7500 -0,094
15,8500 -0,094
15,9500 -0,094
16,0500 -0,094
16,1500 -0,094
16,2500 -0,094
16,3500 -0,079
16,4500 -0,094
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_precese2.txt
0,0 → 1,306
Precese, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -89,630
0,1500 -89,535
0,2500 -89,630
0,3500 -89,441
0,4500 -89,598
0,5500 -89,410
0,6500 -89,520
0,7500 -89,441
0,8500 -89,410
0,9500 -89,535
1,0500 -89,284
1,1500 -89,567
1,2500 -89,158
1,3500 -89,535
1,4500 -89,143
1,5500 -89,425
1,6500 -89,190
1,7500 -89,316
1,8500 -89,206
1,9500 -89,284
2,0500 -89,111
2,1500 -89,331
2,2500 -89,001
2,3500 -89,347
2,4500 -88,923
2,5500 -89,316
2,6500 -88,891
2,7500 -89,190
2,8500 -89,001
2,9500 -89,048
3,0500 -89,017
3,1500 -89,001
3,2500 -88,954
3,3500 -89,017
3,4500 -88,844
3,5500 -89,064
3,6500 -88,750
3,7500 -89,017
3,8500 -88,766
3,9500 -88,907
4,0500 -88,797
4,1500 -88,781
4,2500 -88,813
4,3500 -88,719
4,4500 -88,750
4,5500 -88,766
4,6500 -88,609
4,7500 -88,844
4,8500 -88,546
4,9500 -88,766
5,0500 -88,562
5,1500 -88,624
5,2500 -88,593
5,3500 -88,530
5,4500 -88,577
5,5500 -88,514
5,6500 -88,452
5,7500 -88,609
5,8500 -88,342
5,9500 -88,624
6,0500 -88,294
6,1500 -88,514
6,2500 -88,326
6,3500 -88,373
6,4500 -88,357
6,5500 -88,326
6,6500 -88,263
6,7500 -88,404
6,8500 -88,137
6,9500 -88,420
7,0500 -88,075
7,1500 -88,357
7,2500 -88,090
7,3500 -88,216
7,4500 -88,169
7,5500 -88,137
7,6500 -88,090
7,7500 -88,185
7,8500 -87,949
7,9500 -88,232
8,0500 -87,855
8,1500 -88,185
8,2500 -87,886
8,3500 -88,043
8,4500 -87,949
8,5500 -87,933
8,6500 -87,902
8,7500 -87,980
8,8500 -87,760
8,9500 -88,043
9,0500 -87,666
9,1500 -87,965
9,2500 -87,698
9,3500 -87,823
9,4500 -87,776
9,5500 -87,729
9,6500 -87,729
9,7500 -87,776
9,8500 -87,588
9,9500 -87,839
10,0500 -87,493
10,1500 -87,745
10,2500 -87,541
10,3500 -87,588
10,4500 -87,588
10,5500 -87,525
10,6500 -87,493
10,7500 -87,619
10,8500 -87,368
10,9500 -87,619
11,0500 -87,321
11,1500 -87,493
11,2500 -87,399
11,3500 -87,352
11,4500 -87,431
11,5500 -87,336
11,6500 -87,289
11,7500 -87,446
11,8500 -87,164
11,9500 -87,399
12,0500 -87,179
12,1500 -87,242
12,2500 -87,258
12,3500 -87,148
12,4500 -87,195
12,5500 -87,226
12,6500 -87,022
12,7500 -87,273
12,8500 -87,022
12,9500 -87,179
13,0500 -87,069
13,1500 -87,085
13,2500 -87,132
13,3500 -87,116
13,4500 -86,865
13,5500 -87,085
13,6500 -86,677
13,7500 -87,038
13,8500 -86,834
13,9500 -87,022
14,0500 -86,944
14,1500 -86,975
14,2500 -86,755
14,3500 -87,022
14,4500 -86,598
14,5500 -87,054
14,6500 -86,598
14,7500 -86,849
14,8500 -86,598
14,9500 -86,724
15,0500 -86,551
15,1500 -86,865
15,2500 -86,519
15,3500 -86,881
15,4500 -86,519
15,5500 -86,645
15,6500 -86,582
15,7500 -86,519
15,8500 -86,582
15,9500 -86,551
16,0500 -86,425
16,1500 -86,472
16,2500 -86,425
16,3500 -86,300
16,4500 -86,614
16,5500 -86,221
16,6500 -86,614
16,7500 -86,237
16,8500 -86,425
16,9500 -86,268
17,0500 -86,394
17,1500 -86,111
17,2500 -86,488
17,3500 -85,954
17,4500 -86,331
17,5500 -86,017
17,6500 -86,174
17,7500 -86,190
17,8500 -86,221
17,9500 -86,048
18,0500 -86,284
18,1500 -85,938
18,2500 -86,111
18,3500 -86,033
18,4500 -85,938
18,5500 -86,017
18,6500 -85,954
18,7500 -85,813
18,8500 -86,080
18,9500 -85,781
19,0500 -86,017
19,1500 -85,891
19,2500 -85,923
19,3500 -85,797
19,4500 -85,985
19,5500 -85,608
19,6500 -86,017
19,7500 -85,577
19,8500 -85,828
19,9500 -85,671
20,0500 -85,734
20,1500 -85,608
20,2500 -85,828
20,3500 -85,561
20,4500 -85,718
20,5500 -85,687
20,6500 -85,451
20,7500 -85,750
20,8500 -85,389
20,9500 -85,608
21,0500 -85,451
21,1500 -85,577
21,2500 -85,310
21,3500 -85,656
21,4500 -85,169
21,5500 -85,577
21,6500 -85,310
21,7500 -85,357
21,8500 -85,373
21,9500 -85,373
22,0500 -85,200
22,1500 -85,420
22,2500 -85,184
22,3500 -85,247
22,4500 -85,279
22,5500 -85,200
22,6500 -85,121
22,7500 -85,389
22,8500 -84,964
22,9500 -85,357
23,0500 -85,027
23,1500 -85,200
23,2500 -85,043
23,3500 -85,247
23,4500 -84,902
23,5500 -85,200
23,6500 -84,980
23,7500 -84,917
23,8500 -85,121
23,9500 -84,823
24,0500 -85,059
24,1500 -84,886
24,2500 -84,996
24,3500 -84,744
24,4500 -85,106
24,5500 -84,603
24,6500 -84,964
24,7500 -84,729
24,8500 -84,729
24,9500 -84,776
25,0500 -84,792
25,1500 -84,619
25,2500 -84,823
25,3500 -84,635
25,4500 -84,682
25,5500 -84,666
25,6500 -84,744
25,7500 -84,477
25,8500 -84,870
25,9500 -84,383
26,0500 -84,697
26,1500 -84,525
26,2500 -84,572
26,3500 -84,493
26,4500 -84,603
26,5500 -84,493
26,6500 -84,352
26,7500 -84,666
26,8500 -84,148
26,9500 -84,587
27,0500 -84,258
27,1500 -84,383
27,2500 -84,289
27,3500 -84,430
27,4500 -84,163
27,5500 -84,352
27,6500 -84,258
27,7500 -84,179
27,8500 -84,242
27,9500 -84,305
28,0500 -84,038
28,1500 -84,399
28,2500 -84,006
28,3500 -84,242
28,4500 -84,053
28,5500 -84,242
28,6500 -83,975
28,7500 -84,179
28,8500 -84,085
28,9500 -83,849
29,0500 -84,226
29,1500 -83,786
29,2500 -84,069
29,3500 -83,865
29,4500 -84,022
29,5500 -83,739
29,6500 -84,022
29,7500 -83,771
29,8500 -83,802
29,9500 -83,849
30,0500 -83,833
30,1500 -83,676
30,2500 -83,975
30,3500 -83,598
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_precese3.txt
0,0 → 1,348
Precese, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -97,955
0,1500 -98,238
0,2500 -97,735
0,3500 -97,484
0,4500 -97,389
0,5500 -97,264
0,6500 -97,421
0,7500 -97,138
0,8500 -97,342
0,9500 -96,997
1,0500 -97,609
1,1500 -97,594
1,2500 -97,829
1,3500 -97,719
1,4500 -97,421
1,5500 -97,279
1,6500 -97,091
1,7500 -97,248
1,8500 -96,855
1,9500 -97,091
2,0500 -96,714
2,1500 -96,934
2,2500 -97,138
2,3500 -97,311
2,4500 -97,515
2,5500 -97,421
2,6500 -97,232
2,7500 -96,887
2,8500 -96,997
2,9500 -96,635
3,0500 -96,777
3,1500 -96,573
3,2500 -96,447
3,3500 -96,651
3,4500 -96,824
3,5500 -97,122
3,6500 -97,217
3,7500 -97,185
3,8500 -96,808
3,9500 -96,745
4,0500 -96,478
4,1500 -96,447
4,2500 -96,447
4,3500 -96,211
4,4500 -96,306
4,5500 -96,400
4,6500 -96,620
4,7500 -96,855
4,8500 -96,981
4,9500 -96,761
5,0500 -96,588
5,1500 -96,416
5,2500 -96,117
5,3500 -96,274
5,4500 -95,960
5,5500 -96,086
5,6500 -96,023
5,7500 -96,133
5,8500 -96,290
5,9500 -96,588
6,0500 -96,573
6,1500 -96,463
6,2500 -96,400
6,3500 -95,913
6,4500 -96,101
6,5500 -95,724
6,6500 -95,976
6,7500 -95,662
6,8500 -95,866
6,9500 -95,709
7,0500 -96,133
7,1500 -96,070
7,2500 -96,274
7,3500 -96,258
7,4500 -95,803
7,5500 -95,976
7,6500 -95,473
7,7500 -95,803
7,8500 -95,426
7,9500 -95,724
8,0500 -95,285
8,1500 -95,756
8,2500 -95,457
8,3500 -95,991
8,4500 -95,866
8,5500 -95,850
8,6500 -95,740
8,7500 -95,473
8,8500 -95,473
8,9500 -95,300
9,0500 -95,410
9,1500 -95,159
9,2500 -95,347
9,3500 -95,080
9,4500 -95,489
9,5500 -95,457
9,6500 -95,662
9,7500 -95,630
9,8500 -95,410
9,9500 -95,300
10,0500 -95,127
10,1500 -95,096
10,2500 -95,080
10,3500 -94,986
10,4500 -94,892
10,5500 -95,002
10,6500 -95,033
10,7500 -95,206
10,8500 -95,410
10,9500 -95,143
11,0500 -95,363
11,1500 -94,829
11,2500 -95,065
11,3500 -94,672
11,4500 -94,939
11,5500 -94,578
11,6500 -94,860
11,7500 -94,515
11,8500 -95,002
11,9500 -94,719
12,0500 -95,127
12,1500 -95,002
12,2500 -94,876
12,3500 -94,845
12,4500 -94,546
12,5500 -94,593
12,6500 -94,468
12,7500 -94,515
12,8500 -94,358
12,9500 -94,499
13,0500 -94,389
13,1500 -94,703
13,2500 -94,609
13,3500 -94,798
13,4500 -94,703
13,5500 -94,468
13,6500 -94,499
13,7500 -94,138
13,8500 -94,342
13,9500 -94,075
14,0500 -94,232
14,1500 -94,075
14,2500 -94,264
14,3500 -94,216
14,4500 -94,562
14,5500 -94,342
14,6500 -94,546
14,7500 -94,232
14,8500 -94,169
14,9500 -94,106
15,0500 -93,839
15,1500 -94,028
15,2500 -93,745
15,3500 -93,965
15,4500 -93,839
15,5500 -94,044
15,6500 -94,044
15,7500 -94,248
15,8500 -94,075
15,9500 -94,185
16,0500 -93,855
16,1500 -93,887
16,2500 -93,745
16,3500 -93,619
16,4500 -93,745
16,5500 -93,415
16,6500 -93,777
16,7500 -93,494
16,8500 -93,887
16,9500 -93,698
17,0500 -93,996
17,1500 -93,698
17,2500 -93,887
17,3500 -93,447
17,4500 -93,745
17,5500 -93,227
17,6500 -93,588
17,7500 -93,180
17,8500 -93,415
17,9500 -93,321
18,0500 -93,431
18,1500 -93,525
18,2500 -93,510
18,3500 -93,541
18,4500 -93,431
18,5500 -93,337
18,6500 -93,274
18,7500 -93,195
18,8500 -93,133
18,9500 -93,164
19,0500 -93,054
19,1500 -93,258
19,2500 -93,070
19,3500 -93,337
19,4500 -93,211
19,5500 -93,243
19,6500 -93,211
19,7500 -92,975
19,8500 -93,085
19,9500 -92,818
20,0500 -92,928
20,1500 -92,803
20,2500 -92,866
20,3500 -92,834
20,4500 -92,897
20,5500 -92,960
20,6500 -93,007
20,7500 -92,975
20,8500 -92,991
20,9500 -92,818
21,0500 -92,834
21,1500 -92,693
21,2500 -92,614
21,3500 -92,646
21,4500 -92,441
21,5500 -92,693
21,6500 -92,426
21,7500 -92,787
21,8500 -92,536
21,9500 -92,771
22,0500 -92,598
22,1500 -92,646
22,2500 -92,520
22,3500 -92,473
22,4500 -92,410
22,5500 -92,379
22,6500 -92,316
22,7500 -92,394
22,8500 -92,300
22,9500 -92,457
23,0500 -92,394
23,1500 -92,426
23,2500 -92,410
23,3500 -92,269
23,4500 -92,331
23,5500 -92,064
23,6500 -92,237
23,7500 -91,970
23,8500 -92,143
23,9500 -92,017
24,0500 -92,112
24,1500 -92,112
24,2500 -92,127
24,3500 -92,190
24,4500 -92,112
24,5500 -92,112
24,6500 -92,064
24,7500 -91,923
24,8500 -92,017
24,9500 -91,766
25,0500 -92,002
25,1500 -91,656
25,2500 -92,002
25,3500 -91,672
25,4500 -91,939
25,5500 -91,797
25,6500 -91,829
25,7500 -91,813
25,8500 -91,703
25,9500 -91,735
26,0500 -91,546
26,1500 -91,687
26,2500 -91,483
26,3500 -91,672
26,4500 -91,483
26,5500 -91,719
26,6500 -91,452
26,7500 -91,766
26,8500 -91,420
26,9500 -91,735
27,0500 -91,326
27,1500 -91,640
27,2500 -91,232
27,3500 -91,530
27,4500 -91,216
27,5500 -91,436
27,6500 -91,279
27,7500 -91,373
27,8500 -91,373
27,9500 -91,232
28,0500 -91,389
28,1500 -91,091
28,2500 -91,342
28,3500 -91,012
28,4500 -91,263
28,5500 -90,981
28,6500 -91,185
28,7500 -91,012
28,8500 -91,106
28,9500 -91,059
29,0500 -91,043
29,1500 -91,028
29,2500 -91,012
29,3500 -90,981
29,4500 -91,012
29,5500 -90,871
29,6500 -91,028
29,7500 -90,729
29,8500 -91,075
29,9500 -90,651
30,0500 -91,059
30,1500 -90,588
30,2500 -90,981
30,3500 -90,604
30,4500 -90,839
30,5500 -90,651
30,6500 -90,745
30,7500 -90,698
30,8500 -90,619
30,9500 -90,682
31,0500 -90,525
31,1500 -90,651
31,2500 -90,462
31,3500 -90,604
31,4500 -90,431
31,5500 -90,541
31,6500 -90,431
31,7500 -90,509
31,8500 -90,368
31,9500 -90,478
32,0500 -90,289
32,1500 -90,494
32,2500 -90,211
32,3500 -90,494
32,4500 -90,164
32,5500 -90,446
32,6500 -90,132
32,7500 -90,368
32,8500 -90,164
32,9500 -90,242
33,0500 -90,179
33,1500 -90,164
33,2500 -90,179
33,3500 -90,132
33,4500 -90,101
33,5500 -90,164
33,6500 -89,960
33,7500 -90,227
33,8500 -89,818
33,9500 -90,242
34,0500 -89,724
34,1500 -90,195
34,2500 -89,724
34,3500 -90,054
34,4500 -89,802
34,5500 -89,912
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_precese4.txt
0,0 → 1,183
Precese, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -71,754
0,1500 -71,754
0,2500 -71,990
0,3500 -71,848
0,4500 -71,597
0,5500 -71,770
0,6500 -71,723
0,7500 -71,895
0,8500 -71,613
0,9500 -71,534
1,0500 -71,785
1,1500 -71,628
1,2500 -71,785
1,3500 -71,581
1,4500 -71,660
1,5500 -71,770
1,6500 -71,424
1,7500 -71,503
1,8500 -71,503
1,9500 -71,738
2,0500 -71,801
2,1500 -71,283
2,2500 -71,346
2,3500 -71,377
2,4500 -71,644
2,5500 -71,675
2,6500 -71,267
2,7500 -71,393
2,8500 -71,393
2,9500 -71,628
3,0500 -71,487
3,1500 -71,094
3,2500 -71,267
3,3500 -71,346
3,4500 -71,597
3,5500 -71,361
3,6500 -71,063
3,7500 -71,220
3,8500 -71,189
3,9500 -71,393
4,0500 -71,220
4,1500 -71,173
4,2500 -71,346
4,3500 -71,126
4,4500 -71,267
4,5500 -71,016
4,6500 -71,063
4,7500 -71,251
4,8500 -71,063
4,9500 -71,189
5,0500 -70,984
5,1500 -71,079
5,2500 -71,173
5,3500 -70,859
5,4500 -71,000
5,5500 -70,906
5,6500 -71,126
5,7500 -71,236
5,8500 -70,796
5,9500 -70,874
6,0500 -70,764
6,1500 -71,016
6,2500 -71,094
6,3500 -70,702
6,4500 -70,843
6,5500 -70,796
6,6500 -71,031
6,7500 -70,984
6,8500 -70,529
6,9500 -70,639
7,0500 -70,702
7,1500 -70,969
7,2500 -71,000
7,3500 -70,513
7,4500 -70,623
7,5500 -70,607
7,6500 -70,827
7,7500 -70,827
7,8500 -70,403
7,9500 -70,560
8,0500 -70,592
8,1500 -70,874
8,2500 -70,796
8,3500 -70,262
8,4500 -70,387
8,5500 -70,450
8,6500 -70,733
8,7500 -70,733
8,8500 -70,277
8,9500 -70,435
9,0500 -70,435
9,1500 -70,654
9,2500 -70,576
9,3500 -70,136
9,4500 -70,262
9,5500 -70,340
9,6500 -70,623
9,7500 -70,592
9,8500 -70,089
9,9500 -70,199
10,0500 -70,215
10,1500 -70,450
10,2500 -70,435
10,3500 -70,042
10,4500 -70,152
10,5500 -70,230
10,6500 -70,497
10,7500 -70,403
10,8500 -69,900
10,9500 -70,010
11,0500 -70,058
11,1500 -70,325
11,2500 -70,340
11,3500 -69,916
11,4500 -70,042
11,5500 -70,010
11,6500 -70,262
11,7500 -70,199
11,8500 -69,775
11,9500 -69,885
12,0500 -69,916
12,1500 -70,168
12,2500 -70,215
12,3500 -69,791
12,4500 -69,900
12,5500 -69,791
12,6500 -69,995
12,7500 -70,058
12,8500 -69,681
12,9500 -69,822
13,0500 -69,775
13,1500 -69,963
13,2500 -70,026
13,3500 -69,649
13,4500 -69,806
13,5500 -69,618
13,6500 -69,743
13,7500 -69,838
13,8500 -69,633
13,9500 -69,791
14,0500 -69,618
14,1500 -69,681
14,2500 -69,775
14,3500 -69,555
14,4500 -69,728
14,5500 -69,555
14,6500 -69,429
14,7500 -69,571
14,8500 -69,555
14,9500 -69,775
15,0500 -69,571
15,1500 -69,304
15,2500 -69,445
15,3500 -69,429
15,4500 -69,618
15,5500 -69,523
15,6500 -69,178
15,7500 -69,304
15,8500 -69,382
15,9500 -69,649
16,0500 -69,571
16,1500 -69,068
16,2500 -69,178
16,3500 -69,209
16,4500 -69,429
16,5500 -69,445
16,6500 -69,021
16,7500 -69,194
16,8500 -69,162
16,9500 -69,351
17,0500 -69,414
17,1500 -69,005
17,2500 -69,178
17,3500 -69,005
17,4500 -69,052
17,5500 -69,162
17,6500 -69,037
17,7500 -69,209
17,8500 -69,037
17,9500 -68,927
18,0500 -69,052
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_precese5.txt
0,0 → 1,157
Precese, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -61,450
0,1500 -61,450
0,2500 -61,402
0,3500 -61,512
0,4500 -61,418
0,5500 -61,324
0,6500 -61,497
0,7500 -61,465
0,8500 -61,198
0,9500 -61,450
1,0500 -61,465
1,1500 -61,104
1,2500 -61,387
1,3500 -61,402
1,4500 -61,025
1,5500 -61,340
1,6500 -61,355
1,7500 -61,057
1,8500 -61,261
1,9500 -61,308
2,0500 -61,120
2,1500 -61,151
2,2500 -61,245
2,3500 -61,183
2,4500 -61,104
2,5500 -61,167
2,6500 -61,230
2,7500 -61,088
2,8500 -61,073
2,9500 -61,198
3,0500 -61,167
3,1500 -60,963
3,2500 -61,151
3,3500 -61,183
3,4500 -60,853
3,5500 -61,151
3,6500 -61,151
3,7500 -60,758
3,8500 -61,104
3,9500 -61,073
4,0500 -60,696
4,1500 -61,010
4,2500 -60,963
4,3500 -60,727
4,4500 -60,931
4,5500 -60,900
4,6500 -60,806
4,7500 -60,837
4,8500 -60,884
4,9500 -60,884
5,0500 -60,806
5,1500 -60,837
5,2500 -60,900
5,3500 -60,790
5,4500 -60,774
5,5500 -60,884
5,6500 -60,806
5,7500 -60,680
5,8500 -60,821
5,9500 -60,806
6,0500 -60,570
6,1500 -60,774
6,2500 -60,821
6,3500 -60,460
6,4500 -60,790
6,5500 -60,790
6,6500 -60,413
6,7500 -60,727
6,8500 -60,727
6,9500 -60,381
7,0500 -60,664
7,1500 -60,617
7,2500 -60,397
7,3500 -60,570
7,4500 -60,539
7,5500 -60,460
7,6500 -60,476
7,7500 -60,523
7,8500 -60,491
7,9500 -60,429
8,0500 -60,476
8,1500 -60,507
8,2500 -60,397
8,3500 -60,429
8,4500 -60,507
8,5500 -60,413
8,6500 -60,366
8,7500 -60,476
8,8500 -60,429
8,9500 -60,240
9,0500 -60,429
9,1500 -60,429
9,2500 -60,130
9,3500 -60,397
9,4500 -60,413
9,5500 -60,020
9,6500 -60,366
9,7500 -60,381
9,8500 -59,957
9,9500 -60,303
10,0500 -60,319
10,1500 -59,926
10,2500 -60,256
10,3500 -60,256
10,4500 -59,942
10,5500 -60,209
10,6500 -60,224
10,7500 -59,973
10,8500 -60,130
10,9500 -60,177
11,0500 -59,989
11,1500 -60,052
11,2500 -60,099
11,3500 -60,020
11,4500 -60,004
11,5500 -60,020
11,6500 -60,036
11,7500 -59,957
11,8500 -59,942
11,9500 -60,036
12,0500 -59,894
12,1500 -59,894
12,2500 -60,004
12,3500 -59,863
12,4500 -59,816
12,5500 -59,957
12,6500 -59,863
12,7500 -59,800
12,8500 -59,910
12,9500 -59,847
13,0500 -59,737
13,1500 -59,879
13,2500 -59,847
13,3500 -59,659
13,4500 -59,847
13,5500 -59,847
13,6500 -59,565
13,7500 -59,816
13,8500 -59,832
13,9500 -59,455
14,0500 -59,785
14,1500 -59,769
14,2500 -59,376
14,3500 -59,706
14,4500 -59,722
14,5500 -59,376
14,6500 -59,659
14,7500 -59,675
14,8500 -59,329
14,9500 -59,627
15,0500 -59,675
15,1500 -59,329
15,2500 -59,596
15,3500 -59,643
15,4500 -59,282
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_rotace1.txt
0,0 → 1,167
Rotace Kotouèe, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -77,220
0,1500 -77,582
0,2500 -77,456
0,3500 -77,189
0,4500 -77,393
0,5500 -77,142
0,6500 -77,299
0,7500 -77,252
0,8500 -77,362
0,9500 -77,095
1,0500 -77,393
1,1500 -77,440
1,2500 -76,922
1,3500 -77,126
1,4500 -77,110
1,5500 -77,205
1,6500 -77,016
1,7500 -77,220
1,8500 -77,063
1,9500 -77,079
2,0500 -77,299
2,1500 -76,812
2,2500 -76,875
2,3500 -77,016
2,4500 -77,220
2,5500 -76,812
2,6500 -77,000
2,7500 -77,079
2,8500 -76,812
2,9500 -76,985
3,0500 -76,749
3,1500 -76,812
3,2500 -76,796
3,3500 -77,142
3,4500 -76,796
3,5500 -76,623
3,6500 -76,969
3,7500 -76,671
3,8500 -76,749
3,9500 -76,639
4,0500 -76,828
4,1500 -76,655
4,2500 -76,843
4,3500 -76,859
4,4500 -76,388
4,5500 -76,608
4,6500 -76,623
4,7500 -76,702
4,8500 -76,419
4,9500 -76,702
5,0500 -76,671
5,1500 -76,451
5,2500 -76,655
5,3500 -76,356
5,4500 -76,419
5,5500 -76,482
5,6500 -76,765
5,7500 -76,372
5,8500 -76,294
5,9500 -76,608
6,0500 -76,294
6,1500 -76,325
6,2500 -76,246
6,3500 -76,451
6,4500 -76,278
6,5500 -76,466
6,6500 -76,498
6,7500 -76,027
6,8500 -76,215
6,9500 -76,262
7,0500 -76,388
7,1500 -76,042
7,2500 -76,278
7,3500 -76,341
7,4500 -76,027
7,5500 -76,215
7,6500 -76,011
7,7500 -76,074
7,8500 -76,058
7,9500 -76,372
8,0500 -76,152
8,1500 -75,807
8,2500 -76,121
8,3500 -75,979
8,4500 -76,027
8,5500 -75,854
8,6500 -76,137
8,7500 -75,964
8,8500 -75,901
8,9500 -76,137
9,0500 -75,697
9,1500 -75,744
9,2500 -75,822
9,3500 -76,168
9,4500 -75,822
9,5500 -75,697
9,6500 -75,964
9,7500 -75,665
9,8500 -75,760
9,9500 -75,712
10,0500 -75,885
10,1500 -75,618
10,2500 -75,712
10,3500 -75,979
10,4500 -75,445
10,5500 -75,477
10,6500 -75,587
10,7500 -75,869
10,8500 -75,540
10,9500 -75,618
11,0500 -75,760
11,1500 -75,351
11,2500 -75,540
11,3500 -75,524
11,4500 -75,681
11,5500 -75,320
11,6500 -75,461
11,7500 -75,728
11,8500 -75,288
11,9500 -75,304
12,0500 -75,335
12,1500 -75,555
12,2500 -75,335
12,3500 -75,461
12,4500 -75,571
12,5500 -75,068
12,6500 -75,225
12,7500 -75,304
12,8500 -75,540
12,9500 -75,131
13,0500 -75,194
13,1500 -75,430
13,2500 -75,068
13,3500 -75,194
13,4500 -75,131
13,5500 -75,304
13,6500 -75,084
13,7500 -75,147
13,8500 -75,414
13,9500 -74,911
14,0500 -74,911
14,1500 -75,006
14,2500 -75,304
14,3500 -75,037
14,4500 -74,958
14,5500 -75,116
14,6500 -74,817
14,7500 -74,911
14,8500 -74,927
14,9500 -75,225
15,0500 -74,896
15,1500 -74,707
15,2500 -75,037
15,3500 -74,817
15,4500 -74,833
15,5500 -74,691
15,6500 -74,974
15,7500 -74,896
15,8500 -74,676
15,9500 -74,896
16,0500 -74,644
16,1500 -74,691
16,2500 -74,581
16,3500 -74,927
16,4500 -74,927
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_rotace2.txt
0,0 → 1,306
Rotace Kotouèe, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -0,047
0,1500 -0,016
0,2500 -0,031
0,3500 -0,031
0,4500 -0,063
0,5500 -0,079
0,6500 -0,110
0,7500 -0,126
0,8500 -0,141
0,9500 -0,126
1,0500 -0,110
1,1500 -0,079
1,2500 -0,063
1,3500 -0,047
1,4500 -0,031
1,5500 -0,016
1,6500 -0,047
1,7500 -0,063
1,8500 -0,094
1,9500 -0,126
2,0500 -0,126
2,1500 -0,126
2,2500 -0,110
2,3500 -0,110
2,4500 -0,079
2,5500 -0,047
2,6500 -0,047
2,7500 -0,031
2,8500 -0,031
2,9500 -0,063
3,0500 -0,079
3,1500 -0,094
3,2500 -0,110
3,3500 -0,126
3,4500 -0,126
3,5500 -0,110
3,6500 -0,094
3,7500 -0,063
3,8500 -0,047
3,9500 -0,047
4,0500 -0,047
4,1500 -0,047
4,2500 -0,063
4,3500 -0,094
4,4500 -0,110
4,5500 -0,110
4,6500 -0,110
4,7500 -0,110
4,8500 -0,110
4,9500 -0,063
5,0500 -0,079
5,1500 -0,047
5,2500 -0,047
5,3500 -0,047
5,4500 -0,063
5,5500 -0,079
5,6500 -0,094
5,7500 -0,110
5,8500 -0,110
5,9500 -0,110
6,0500 -0,110
6,1500 -0,079
6,2500 -0,079
6,3500 -0,063
6,4500 -0,063
6,5500 -0,047
6,6500 -0,063
6,7500 -0,079
6,8500 -0,079
6,9500 -0,094
7,0500 -0,110
7,1500 -0,110
7,2500 -0,110
7,3500 -0,094
7,4500 -0,079
7,5500 -0,079
7,6500 -0,063
7,7500 -0,063
7,8500 -0,063
7,9500 -0,079
8,0500 -0,079
8,1500 -0,079
8,2500 -0,110
8,3500 -0,110
8,4500 -0,094
8,5500 -0,110
8,6500 -0,094
8,7500 -0,079
8,8500 -0,079
8,9500 -0,063
9,0500 -0,079
9,1500 -0,063
9,2500 -0,079
9,3500 -0,094
9,4500 -0,079
9,5500 -0,110
9,6500 -0,110
9,7500 -0,094
9,8500 -0,094
9,9500 -0,094
10,0500 -0,094
10,1500 -0,063
10,2500 -0,079
10,3500 -0,079
10,4500 -0,063
10,5500 -0,094
10,6500 -0,079
10,7500 -0,094
10,8500 -0,094
10,9500 -0,094
11,0500 -0,110
11,1500 -0,094
11,2500 -0,079
11,3500 -0,094
11,4500 -0,079
11,5500 -0,079
11,6500 -0,079
11,7500 -0,079
11,8500 -0,079
11,9500 -0,079
12,0500 -0,094
12,1500 -0,094
12,2500 -0,094
12,3500 -0,094
12,4500 -0,094
12,5500 -0,079
12,6500 -0,094
12,7500 -0,110
12,8500 -0,377
12,9500 -0,267
13,0500 -0,031
13,1500 0,188
13,2500 0,346
13,3500 0,393
13,4500 0,314
13,5500 0,141
13,6500 -0,079
13,7500 -0,298
13,8500 -0,503
13,9500 -0,565
14,0500 -0,550
14,1500 -0,424
14,2500 -0,220
14,3500 0,000
14,4500 0,188
14,5500 0,314
14,6500 0,330
14,7500 0,251
14,8500 0,094
14,9500 -0,110
15,0500 -0,298
15,1500 -0,456
15,2500 -0,518
15,3500 -0,471
15,4500 -0,361
15,5500 -0,173
15,6500 0,000
15,7500 0,173
15,8500 0,267
15,9500 0,267
16,0500 0,204
16,1500 0,047
16,2500 -0,126
16,3500 -0,298
16,4500 -0,424
16,5500 -0,456
16,6500 -0,424
16,7500 -0,298
16,8500 -0,141
16,9500 0,016
17,0500 0,141
17,1500 0,220
17,2500 0,220
17,3500 0,126
17,4500 0,016
17,5500 -0,141
17,6500 -0,283
17,7500 -0,377
17,8500 -0,393
17,9500 -0,346
18,0500 -0,251
18,1500 -0,110
18,2500 0,016
18,3500 0,126
18,4500 0,173
18,5500 0,157
18,6500 0,063
18,7500 -0,016
18,8500 -0,157
18,9500 -0,251
19,0500 -0,314
19,1500 -0,330
19,2500 -0,283
19,3500 -0,188
19,4500 -0,079
19,5500 0,000
19,6500 0,079
19,7500 0,110
19,8500 0,094
19,9500 0,031
20,0500 -0,047
20,1500 -0,157
20,2500 -0,220
20,3500 -0,251
20,4500 -0,251
20,5500 -0,204
20,6500 -0,141
20,7500 -0,063
20,8500 0,000
20,9500 0,047
21,0500 0,047
21,1500 0,016
21,2500 -0,016
21,3500 -0,079
21,4500 -0,141
21,5500 -0,188
21,6500 -0,204
21,7500 -0,173
21,8500 -0,157
21,9500 -0,094
22,0500 -0,047
22,1500 -0,016
22,2500 0,000
22,3500 -0,016
22,4500 -0,031
22,5500 -0,063
22,6500 -0,110
22,7500 -0,141
22,8500 -0,141
22,9500 -0,157
23,0500 -0,126
23,1500 -0,094
23,2500 -0,079
23,3500 -0,063
23,4500 -0,031
23,5500 -0,047
23,6500 -0,063
23,7500 -0,079
23,8500 -0,094
23,9500 -0,110
24,0500 -0,110
24,1500 -0,110
24,2500 -0,094
24,3500 -0,079
24,4500 -0,079
24,5500 -0,079
24,6500 -0,079
24,7500 -0,079
24,8500 -0,079
24,9500 -0,079
25,0500 -0,079
25,1500 -0,094
25,2500 -0,079
25,3500 -0,063
25,4500 -0,079
25,5500 -0,079
25,6500 -0,079
25,7500 -0,079
25,8500 -0,079
25,9500 -0,063
26,0500 -0,079
26,1500 -0,079
26,2500 -0,063
26,3500 -0,079
26,4500 -0,063
26,5500 -0,079
26,6500 -0,063
26,7500 -0,063
26,8500 -0,063
26,9500 -0,063
27,0500 -0,079
27,1500 -0,063
27,2500 -0,063
27,3500 -0,079
27,4500 -0,063
27,5500 -0,063
27,6500 -0,079
27,7500 -0,063
27,8500 -0,063
27,9500 -0,063
28,0500 -0,063
28,1500 -0,063
28,2500 -0,063
28,3500 -0,047
28,4500 -0,063
28,5500 -0,063
28,6500 -0,063
28,7500 -0,063
28,8500 -0,047
28,9500 -0,063
29,0500 -0,063
29,1500 -0,063
29,2500 -0,047
29,3500 -0,063
29,4500 -0,063
29,5500 -0,063
29,6500 -0,063
29,7500 -0,063
29,8500 -0,047
29,9500 -0,063
30,0500 -0,047
30,1500 -0,063
30,2500 -0,063
30,3500 -0,047
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_rotace3.txt
0,0 → 1,348
Rotace Kotouèe, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -0,911
0,1500 -0,801
0,2500 -0,440
0,3500 -0,031
0,4500 0,377
0,5500 0,675
0,6500 0,770
0,7500 0,660
0,8500 0,361
0,9500 -0,031
1,0500 -0,456
1,1500 -0,785
1,2500 -0,880
1,3500 -0,738
1,4500 -0,377
1,5500 0,016
1,6500 0,408
1,7500 0,660
1,8500 0,723
1,9500 0,613
2,0500 0,298
2,1500 -0,063
2,2500 -0,471
2,3500 -0,770
2,4500 -0,833
2,5500 -0,691
2,6500 -0,330
2,7500 0,031
2,8500 0,408
2,9500 0,644
3,0500 0,691
3,1500 0,565
3,2500 0,267
3,3500 -0,079
3,4500 -0,471
3,5500 -0,738
3,6500 -0,801
3,7500 -0,644
3,8500 -0,314
3,9500 0,047
4,0500 0,393
4,1500 0,613
4,2500 0,660
4,3500 0,534
4,4500 0,251
4,5500 -0,094
4,6500 -0,440
4,7500 -0,707
4,8500 -0,770
4,9500 -0,628
5,0500 -0,298
5,1500 0,031
5,2500 0,361
5,3500 0,581
5,4500 0,628
5,5500 0,518
5,6500 0,251
5,7500 -0,079
5,8500 -0,408
5,9500 -0,675
6,0500 -0,738
6,1500 -0,597
6,2500 -0,314
6,3500 0,016
6,4500 0,330
6,5500 0,550
6,6500 0,581
6,7500 0,503
6,8500 0,251
6,9500 -0,047
7,0500 -0,377
7,1500 -0,613
7,2500 -0,707
7,3500 -0,581
7,4500 -0,330
7,5500 -0,016
7,6500 0,283
7,7500 0,487
7,8500 0,565
7,9500 0,487
8,0500 0,267
8,1500 -0,016
8,2500 -0,314
8,3500 -0,565
8,4500 -0,675
8,5500 -0,565
8,6500 -0,361
8,7500 -0,063
8,8500 0,236
8,9500 0,440
9,0500 0,518
9,1500 0,487
9,2500 0,283
9,3500 0,031
9,4500 -0,267
9,5500 -0,503
9,6500 -0,628
9,7500 -0,565
9,8500 -0,377
9,9500 -0,094
10,0500 0,157
10,1500 0,393
10,2500 0,471
10,3500 0,471
10,4500 0,298
10,5500 0,079
10,6500 -0,204
10,7500 -0,440
10,8500 -0,565
10,9500 -0,565
11,0500 -0,393
11,1500 -0,157
11,2500 0,094
11,3500 0,330
11,4500 0,440
11,5500 0,440
11,6500 0,314
11,7500 0,126
11,8500 -0,126
11,9500 -0,377
12,0500 -0,518
12,1500 -0,534
12,2500 -0,424
12,3500 -0,204
12,4500 0,031
12,5500 0,251
12,6500 0,377
12,7500 0,424
12,8500 0,330
12,9500 0,173
13,0500 -0,063
13,1500 -0,298
13,2500 -0,456
13,3500 -0,518
13,4500 -0,424
13,5500 -0,267
13,6500 -0,031
13,7500 0,188
13,8500 0,330
13,9500 0,377
14,0500 0,346
14,1500 0,188
14,2500 0,000
14,3500 -0,204
14,4500 -0,393
14,5500 -0,471
14,6500 -0,440
14,7500 -0,298
14,8500 -0,094
14,9500 0,110
15,0500 0,267
15,1500 0,346
15,2500 0,330
15,3500 0,220
15,4500 0,063
15,5500 -0,157
15,6500 -0,314
15,7500 -0,424
15,8500 -0,424
15,9500 -0,330
16,0500 -0,141
16,1500 0,031
16,2500 0,204
16,3500 0,298
16,4500 0,314
16,5500 0,236
16,6500 0,110
16,7500 -0,094
16,8500 -0,236
16,9500 -0,377
17,0500 -0,408
17,1500 -0,330
17,2500 -0,188
17,3500 -0,031
17,4500 0,141
17,5500 0,236
17,6500 0,298
17,7500 0,236
17,8500 0,126
17,9500 -0,016
18,0500 -0,188
18,1500 -0,298
18,2500 -0,377
18,3500 -0,346
18,4500 -0,220
18,5500 -0,063
18,6500 0,063
18,7500 0,188
18,8500 0,251
18,9500 0,236
19,0500 0,157
19,1500 0,016
19,2500 -0,126
19,3500 -0,251
19,4500 -0,330
19,5500 -0,314
19,6500 -0,251
19,7500 -0,110
19,8500 0,016
19,9500 0,141
20,0500 0,204
20,1500 0,204
20,2500 0,157
20,3500 0,063
20,4500 -0,079
20,5500 -0,204
20,6500 -0,267
20,7500 -0,298
20,8500 -0,251
20,9500 -0,141
21,0500 -0,031
21,1500 0,094
21,2500 0,157
21,3500 0,188
21,4500 0,157
21,5500 0,063
21,6500 -0,031
21,7500 -0,157
21,8500 -0,236
21,9500 -0,267
22,0500 -0,236
22,1500 -0,157
22,2500 -0,047
22,3500 0,047
22,4500 0,126
22,5500 0,141
22,6500 0,141
22,7500 0,079
22,8500 -0,016
22,9500 -0,110
23,0500 -0,204
23,1500 -0,220
23,2500 -0,220
23,3500 -0,157
23,4500 -0,063
23,5500 0,000
23,6500 0,094
23,7500 0,126
23,8500 0,110
23,9500 0,063
24,0500 0,000
24,1500 -0,079
24,2500 -0,157
24,3500 -0,204
24,4500 -0,188
24,5500 -0,141
24,6500 -0,079
24,7500 0,000
24,8500 0,063
24,9500 0,094
25,0500 0,079
25,1500 0,047
25,2500 0,000
25,3500 -0,063
25,4500 -0,141
25,5500 -0,157
25,6500 -0,157
25,7500 -0,110
25,8500 -0,079
25,9500 0,000
26,0500 0,031
26,1500 0,063
26,2500 0,047
26,3500 0,031
26,4500 0,000
26,5500 -0,063
26,6500 -0,110
26,7500 -0,126
26,8500 -0,110
26,9500 -0,094
27,0500 -0,063
27,1500 -0,016
27,2500 0,016
27,3500 0,047
27,4500 0,031
27,5500 0,000
27,6500 -0,016
27,7500 -0,063
27,8500 -0,079
27,9500 -0,094
28,0500 -0,094
28,1500 -0,063
28,2500 -0,031
28,3500 -0,016
28,4500 0,000
28,5500 0,000
28,6500 0,016
28,7500 -0,016
28,8500 -0,031
28,9500 -0,047
29,0500 -0,079
29,1500 -0,063
29,2500 -0,047
29,3500 -0,047
29,4500 -0,031
29,5500 0,000
29,6500 -0,016
29,7500 0,000
29,8500 -0,031
29,9500 -0,016
30,0500 -0,031
30,1500 -0,047
30,2500 -0,031
30,3500 -0,047
30,4500 -0,031
30,5500 -0,016
30,6500 -0,016
30,7500 -0,031
30,8500 -0,016
30,9500 -0,031
31,0500 -0,016
31,1500 -0,016
31,2500 -0,016
31,3500 -0,016
31,4500 -0,016
31,5500 -0,016
31,6500 -0,016
31,7500 -0,016
31,8500 -0,016
31,9500 -0,016
32,0500 -0,016
32,1500 -0,016
32,2500 -0,016
32,3500 -0,016
32,4500 0,000
32,5500 -0,016
32,6500 -0,016
32,7500 -0,016
32,8500 0,000
32,9500 -0,016
33,0500 -0,016
33,1500 0,000
33,2500 -0,016
33,3500 -0,016
33,4500 -0,016
33,5500 0,000
33,6500 -0,016
33,7500 -0,016
33,8500 -0,016
33,9500 0,000
34,0500 -0,016
34,1500 0,000
34,2500 -0,016
34,3500 -0,016
34,4500 0,000
34,5500 -0,016
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_rotace4.txt
0,0 → 1,183
Rotace Kotouèe, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -0,173
0,1500 -0,141
0,2500 -0,094
0,3500 -0,079
0,4500 -0,047
0,5500 -0,031
0,6500 -0,031
0,7500 -0,047
0,8500 -0,063
0,9500 -0,110
1,0500 -0,126
1,1500 -0,173
1,2500 -0,173
1,3500 -0,188
1,4500 -0,173
1,5500 -0,157
1,6500 -0,141
1,7500 -0,094
1,8500 -0,079
1,9500 -0,063
2,0500 -0,063
2,1500 -0,063
2,2500 -0,079
2,3500 -0,094
2,4500 -0,110
2,5500 -0,141
2,6500 -0,141
2,7500 -0,157
2,8500 -0,157
2,9500 -0,141
3,0500 -0,110
3,1500 -0,110
3,2500 -0,094
3,3500 -0,079
3,4500 -0,063
3,5500 -0,063
3,6500 -0,063
3,7500 -0,079
3,8500 -0,094
3,9500 -0,094
4,0500 -0,110
4,1500 -0,126
4,2500 -0,110
4,3500 -0,126
4,4500 -0,110
4,5500 -0,110
4,6500 -0,094
4,7500 -0,094
4,8500 -0,079
4,9500 -0,079
5,0500 -0,079
5,1500 -0,063
5,2500 -0,079
5,3500 -0,079
5,4500 -0,079
5,5500 -0,094
5,6500 -0,094
5,7500 -0,110
5,8500 -0,094
5,9500 -0,094
6,0500 -0,110
6,1500 -0,094
6,2500 -0,079
6,3500 -0,094
6,4500 -0,063
6,5500 -0,079
6,6500 -0,079
6,7500 -0,063
6,8500 -0,079
6,9500 -0,079
7,0500 -0,094
7,1500 -0,079
7,2500 -0,094
7,3500 -0,094
7,4500 -0,110
7,5500 -0,094
7,6500 -0,094
7,7500 -0,079
7,8500 -0,079
7,9500 -0,094
8,0500 -0,063
8,1500 -0,079
8,2500 -0,063
8,3500 -0,079
8,4500 -0,079
8,5500 -0,079
8,6500 -0,079
8,7500 -0,094
8,8500 -0,094
8,9500 -0,110
9,0500 -0,094
9,1500 -0,094
9,2500 -0,079
9,3500 -0,094
9,4500 -0,079
9,5500 -0,079
9,6500 -0,063
9,7500 -0,079
9,8500 -0,079
9,9500 -0,079
10,0500 -0,079
10,1500 -0,079
10,2500 -0,079
10,3500 -0,094
10,4500 -0,094
10,5500 -0,094
10,6500 -0,079
10,7500 -0,094
10,8500 -0,094
10,9500 -0,079
11,0500 -0,079
11,1500 -0,079
11,2500 -0,079
11,3500 -0,079
11,4500 -0,079
11,5500 -0,079
11,6500 -0,079
11,7500 -0,094
11,8500 -0,079
11,9500 -0,079
12,0500 -0,079
12,1500 -0,079
12,2500 -0,079
12,3500 -0,079
12,4500 -0,094
12,5500 -0,079
12,6500 -0,079
12,7500 -0,079
12,8500 -0,079
12,9500 -0,094
13,0500 -0,079
13,1500 -0,079
13,2500 -0,094
13,3500 -0,079
13,4500 -0,079
13,5500 -0,079
13,6500 -0,079
13,7500 -0,094
13,8500 -0,079
13,9500 -0,079
14,0500 -0,079
14,1500 -0,079
14,2500 -0,079
14,3500 -0,079
14,4500 -0,094
14,5500 -0,079
14,6500 -0,079
14,7500 -0,079
14,8500 -0,063
14,9500 -0,079
15,0500 -0,063
15,1500 -0,079
15,2500 -0,063
15,3500 -0,063
15,4500 -0,079
15,5500 -0,047
15,6500 -0,079
15,7500 -0,047
15,8500 -0,063
15,9500 -0,063
16,0500 -0,063
16,1500 -0,047
16,2500 -0,063
16,3500 -0,047
16,4500 -0,047
16,5500 -0,063
16,6500 -0,047
16,7500 -0,047
16,8500 -0,047
16,9500 -0,047
17,0500 -0,047
17,1500 -0,047
17,2500 -0,047
17,3500 -0,047
17,4500 -0,031
17,5500 -0,047
17,6500 -0,031
17,7500 -0,031
17,8500 -0,047
17,9500 -0,031
18,0500 -0,031
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/gyroskop_rotace5.txt
0,0 → 1,157
Rotace Kotouèe, Run #3
Time ( s ) Angular Velocity ( rad/s )
0,0500 -0,204
0,1500 -0,188
0,2500 -0,157
0,3500 -0,141
0,4500 -0,110
0,5500 -0,079
0,6500 -0,063
0,7500 -0,047
0,8500 -0,031
0,9500 -0,031
1,0500 -0,047
1,1500 -0,079
1,2500 -0,094
1,3500 -0,126
1,4500 -0,141
1,5500 -0,173
1,6500 -0,173
1,7500 -0,188
1,8500 -0,188
1,9500 -0,173
2,0500 -0,141
2,1500 -0,126
2,2500 -0,110
2,3500 -0,079
2,4500 -0,063
2,5500 -0,063
2,6500 -0,047
2,7500 -0,063
2,8500 -0,063
2,9500 -0,094
3,0500 -0,126
3,1500 -0,126
3,2500 -0,157
3,3500 -0,173
3,4500 -0,173
3,5500 -0,173
3,6500 -0,173
3,7500 -0,157
3,8500 -0,141
3,9500 -0,110
4,0500 -0,110
4,1500 -0,079
4,2500 -0,079
4,3500 -0,079
4,4500 -0,063
4,5500 -0,094
4,6500 -0,094
4,7500 -0,126
4,8500 -0,126
4,9500 -0,157
5,0500 -0,157
5,1500 -0,173
5,2500 -0,157
5,3500 -0,173
5,4500 -0,141
5,5500 -0,141
5,6500 -0,126
5,7500 -0,094
5,8500 -0,094
5,9500 -0,094
6,0500 -0,079
6,1500 -0,094
6,2500 -0,094
6,3500 -0,110
6,4500 -0,126
6,5500 -0,126
6,6500 -0,141
6,7500 -0,141
6,8500 -0,157
6,9500 -0,141
7,0500 -0,141
7,1500 -0,141
7,2500 -0,126
7,3500 -0,110
7,4500 -0,110
7,5500 -0,094
7,6500 -0,110
7,7500 -0,094
7,8500 -0,094
7,9500 -0,110
8,0500 -0,110
8,1500 -0,110
8,2500 -0,126
8,3500 -0,141
8,4500 -0,126
8,5500 -0,141
8,6500 -0,126
8,7500 -0,126
8,8500 -0,126
8,9500 -0,126
9,0500 -0,110
9,1500 -0,110
9,2500 -0,094
9,3500 -0,094
9,4500 -0,110
9,5500 -0,094
9,6500 -0,110
9,7500 -0,110
9,8500 -0,110
9,9500 -0,126
10,0500 -0,126
10,1500 -0,126
10,2500 -0,126
10,3500 -0,126
10,4500 -0,126
10,5500 -0,126
10,6500 -0,110
10,7500 -0,110
10,8500 -0,094
10,9500 -0,110
11,0500 -0,110
11,1500 -0,094
11,2500 -0,110
11,3500 -0,110
11,4500 -0,110
11,5500 -0,110
11,6500 -0,126
11,7500 -0,110
11,8500 -0,110
11,9500 -0,126
12,0500 -0,110
12,1500 -0,110
12,2500 -0,110
12,3500 -0,094
12,4500 -0,110
12,5500 -0,094
12,6500 -0,110
12,7500 -0,094
12,8500 -0,110
12,9500 -0,094
13,0500 -0,094
13,1500 -0,094
13,2500 -0,110
13,3500 -0,094
13,4500 -0,094
13,5500 -0,094
13,6500 -0,094
13,7500 -0,094
13,8500 -0,079
13,9500 -0,094
14,0500 -0,094
14,1500 -0,079
14,2500 -0,094
14,3500 -0,079
14,4500 -0,079
14,5500 -0,079
14,6500 -0,094
14,7500 -0,079
14,8500 -0,079
14,9500 -0,079
15,0500 -0,079
15,1500 -0,079
15,2500 -0,079
15,3500 -0,079
15,4500 -0,079
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace2.txt
0,0 → 1,80
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,149574 3,45
0,320415 3,94
0,471888 4,38
0,609392 4,78
0,736115 5,15
0,854253 5,50
0,965367 5,82
1,070672 6,12
1,170928 6,42
1,266771 6,70
1,358750 6,97
1,447351 7,22
1,533006 7,46
1,615908 7,70
1,696267 7,94
1,774279 8,18
1,850144 8,39
1,924099 8,60
1,996211 8,83
2,066632 9,02
2,135492 9,23
2,202928 9,40
2,269081 9,59
2,333940 9,78
2,397561 9,97
2,459985 10,16
2,521248 10,35
2,581538 10,49
2,640862 10,69
2,699202 10,85
2,756659 11,02
2,813308 11,16
2,869222 11,31
2,924369 11,47
2,978747 11,64
3,032351 11,81
3,085204 11,97
3,137444 12,09
3,189062 12,26
3,240011 12,41
3,290326 12,57
3,340112 12,67
3,389422 12,82
3,438183 12,96
3,486408 13,10
3,534072 13,26
3,581197 13,40
3,627901 13,50
3,674167 13,66
3,719941 13,80
3,765228 13,95
3,810157 14,02
3,854755 14,16
3,898934 14,28
3,942719 14,42
3,986079 14,56
4,029021 14,70
4,071650 14,78
4,113942 14,94
4,155868 15,04
4,197434 15,20
4,238720 15,24
4,279762 15,38
4,320484 15,48
4,360902 15,61
4,400965 15,76
4,440688 15,88
4,480179 15,94
4,519405 16,09
4,558328 16,19
4,596946 16,35
4,635337 16,38
4,673534 16,52
4,711475 16,61
4,749174 16,73
4,786577 16,87
4,823705 16,98
4,860641 17,05
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace3.txt
0,0 → 1,73
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,205523 5,03
0,326291 5,39
0,439619 5,71
0,546788 6,03
0,648547 6,33
0,745743 6,61
0,838897 6,89
0,928557 7,13
1,015174 7,38
1,098934 7,63
1,180100 7,86
1,258840 8,10
1,335388 8,32
1,409980 8,53
1,482689 8,75
1,553688 8,95
1,623069 9,17
1,690991 9,34
1,757612 9,53
1,822912 9,72
1,886955 9,91
1,949751 10,11
2,011408 10,27
2,072068 10,44
2,131696 10,63
2,190357 10,79
2,248087 10,98
2,304972 11,11
2,361141 11,26
2,416532 11,43
2,471137 11,59
2,524946 11,77
2,578008 11,92
2,630448 12,05
2,682242 12,22
2,733384 12,36
2,783867 12,54
2,833830 12,61
2,883331 12,77
2,932265 12,91
2,980663 13,06
3,028488 13,22
3,075771 13,36
3,122637 13,46
3,169061 13,61
3,214996 13,74
3,260423 13,92
3,305480 13,97
3,350221 14,12
3,394536 14,24
3,438450 14,38
3,481925 14,53
3,524978 14,66
3,567729 14,73
3,610146 14,89
3,652185 15,00
3,693844 15,17
3,735230 15,20
3,776386 15,34
3,817215 15,44
3,857730 15,57
3,897892 15,72
3,937718 15,84
3,977302 15,91
4,016623 16,05
4,055640 16,16
4,094339 16,32
4,132810 16,35
4,171104 16,47
4,209140 16,57
4,246911 16,70
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace4.txt
0,0 → 1,76
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,244252 4,11
0,390116 4,53
0,523359 4,92
0,646803 5,28
0,762188 5,63
0,871075 5,92
0,974505 6,24
1,073029 6,53
1,167405 6,79
1,258140 7,06
1,345710 7,29
1,430442 7,54
1,512498 7,78
1,592111 8,01
1,669411 8,25
1,744681 8,45
1,818109 8,67
1,889703 8,89
1,959674 9,08
2,028136 9,28
2,095254 9,44
2,161128 9,64
2,225718 9,82
2,289089 10,01
2,351237 10,21
2,412317 10,36
2,472422 10,55
2,531482 10,73
2,589617 10,88
2,646878 11,06
2,703363 11,18
2,759134 11,35
2,814122 11,51
2,868348 11,67
2,921785 11,85
2,974532 11,98
3,026651 12,13
3,078096 12,29
3,128924 12,43
3,179119 12,61
3,228790 12,69
3,277986 12,85
3,326630 12,98
3,374744 13,13
3,422286 13,30
3,469335 13,41
3,515958 13,54
3,562107 13,69
3,607795 13,82
3,652997 13,98
3,697840 14,04
3,742355 14,19
3,786452 14,31
3,830156 14,45
3,873416 14,60
3,916290 14,71
3,958859 14,81
4,001070 14,96
4,042921 15,07
4,084407 15,22
4,125625 15,26
4,166600 15,41
4,207250 15,51
4,247592 15,64
4,287581 15,78
4,327247 15,90
4,366678 15,97
4,405843 16,11
4,444699 16,23
4,483245 16,38
4,521587 16,40
4,559741 16,54
4,597627 16,63
4,635259 16,76
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace5.txt
0,0 → 1,78
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,158620 4,48
0,293160 4,87
0,417584 5,24
0,533743 5,59
0,643271 5,89
0,747251 6,20
0,846250 6,50
0,941049 6,77
1,032151 7,03
1,120053 7,27
1,205115 7,51
1,287478 7,75
1,367361 7,98
1,444902 8,23
1,520394 8,42
1,594022 8,65
1,665813 8,86
1,735971 9,05
1,804559 9,27
1,871754 9,43
1,937692 9,63
2,002340 9,81
2,065758 10,00
2,127949 10,20
2,189063 10,36
2,249196 10,54
2,308305 10,72
2,366497 10,88
2,423771 11,07
2,480281 11,17
2,536104 11,34
2,591124 11,50
2,645379 11,66
2,698848 11,84
2,751615 11,98
2,803762 12,12
2,855236 12,29
2,906088 12,42
2,956303 12,61
3,005992 12,69
3,055219 12,84
3,103884 12,98
3,152008 13,13
3,199571 13,29
3,246632 13,42
3,293274 13,53
3,339450 13,69
3,385147 13,81
3,430367 13,98
3,475231 14,03
3,519764 14,19
3,563874 14,30
3,607589 14,44
3,650870 14,59
3,693751 14,72
3,736326 14,80
3,778567 14,95
3,820437 15,06
3,861944 15,21
3,903196 15,25
3,944199 15,40
3,984881 15,49
4,025251 15,64
4,065273 15,76
4,104965 15,90
4,144416 15,96
4,183619 16,10
4,222496 16,22
4,261073 16,35
4,299454 16,39
4,337626 16,53
4,375536 16,62
4,413193 16,75
4,450559 16,88
4,487655 17,00
4,524561 17,05
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_drzaku1.txt
0,0 → 1,81
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,149727 2,96
0,347066 3,45
0,519541 3,86
0,675084 4,23
0,817895 4,58
0,950625 4,90
1,075090 5,21
1,192665 5,49
1,304487 5,75
1,411377 6,01
1,514028 6,24
1,612876 6,48
1,708323 6,69
1,800777 6,90
1,890490 7,11
1,977688 7,31
2,062473 7,52
2,145011 7,71
2,225597 7,88
2,304401 8,06
2,381554 8,23
2,457139 8,40
2,531253 8,55
2,604012 8,72
2,675470 8,87
2,745691 9,03
2,814630 9,20
2,882340 9,36
2,949031 9,49
3,014761 9,63
3,079540 9,77
3,143419 9,91
3,206442 10,03
3,268639 10,17
3,330047 10,29
3,390705 10,43
3,450540 10,58
3,509538 10,72
3,567935 10,80
3,625765 10,94
3,682952 11,04
3,739551 11,16
3,795577 11,27
3,851043 11,39
3,905975 11,49
3,960398 11,60
4,014203 11,75
4,067442 11,85
4,120242 11,95
4,172616 12,05
4,224575 12,14
4,276097 12,25
4,327200 12,34
4,377889 12,45
4,428176 12,54
4,478087 12,64
4,527525 12,78
4,576505 12,88
4,625189 12,93
4,673584 13,03
4,721650 13,11
4,769385 13,21
4,816801 13,29
4,863900 13,39
4,910690 13,46
4,957194 13,56
5,003347 13,67
5,049073 13,81
5,094580 13,80
5,139921 13,91
5,184974 13,98
5,229766 14,08
5,274300 14,14
5,318583 14,24
5,362619 14,30
5,406419 14,39
5,449925 14,49
5,493067 14,63
5,536065 14,59
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_drzaku2.txt
0,0 → 1,78
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,317137 2,89
0,518641 3,39
0,694063 3,80
0,851662 4,19
0,995855 4,54
1,129587 4,87
1,254860 5,17
1,373235 5,45
1,485756 5,72
1,593316 5,97
1,696561 6,21
1,795923 6,44
1,891868 6,66
1,984724 6,88
2,074748 7,09
2,162087 7,30
2,246970 7,50
2,329721 7,69
2,410484 7,88
2,489433 8,04
2,566717 8,22
2,642412 8,38
2,716621 8,55
2,789427 8,71
2,860902 8,87
2,931031 9,05
2,999889 9,20
3,067646 9,34
3,134367 9,49
3,200107 9,62
3,264910 9,77
3,328804 9,90
3,391826 10,04
3,454009 10,17
3,515396 10,30
3,575920 10,46
3,635603 10,60
3,694647 10,69
3,753063 10,82
3,810823 10,93
3,867973 11,06
3,924529 11,16
3,980493 11,29
4,035903 11,39
4,090789 11,51
4,145060 11,65
4,198696 11,78
4,251898 11,84
4,304711 11,96
4,357045 12,05
4,408939 12,16
4,460416 12,25
4,511459 12,37
4,562089 12,45
4,612337 12,56
4,662087 12,70
4,711399 12,78
4,760407 12,86
4,809082 12,96
4,857421 13,04
4,905428 13,14
4,953120 13,21
5,000485 13,32
5,047526 13,39
5,094266 13,49
5,140659 13,60
5,186639 13,73
5,232379 13,74
5,277938 13,84
5,323215 13,91
5,368234 14,00
5,412999 14,07
5,457499 14,17
5,501738 14,23
5,545740 14,32
5,589435 14,44
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_drzaku3.txt
0,0 → 1,75
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,280588 2,88
0,482547 3,38
0,658102 3,80
0,815597 4,19
0,959698 4,54
1,093482 4,86
1,218869 5,17
1,337499 5,43
1,450337 5,71
1,558090 5,96
1,661508 6,20
1,761010 6,43
1,857044 6,65
1,949873 6,89
2,039764 7,10
2,127122 7,29
2,212133 7,49
2,295082 7,66
2,376090 7,86
2,455236 8,02
2,532704 8,20
2,608534 8,37
2,682875 8,53
2,755720 8,72
2,827098 8,89
2,897257 9,03
2,966243 9,19
3,034154 9,31
3,101041 9,48
3,166904 9,60
3,231812 9,76
3,295794 9,88
3,358934 10,02
3,421150 10,18
3,482437 10,33
3,543018 10,42
3,602923 10,56
3,662171 10,65
3,720799 10,78
3,778781 10,89
3,836139 11,02
3,892872 11,13
3,949035 11,25
4,004534 11,40
4,059393 11,51
4,113785 11,59
4,167687 11,72
4,221124 11,80
4,274114 11,92
4,326646 12,00
4,378735 12,12
4,430370 12,22
4,481597 12,32
4,532326 12,46
4,582576 12,55
4,632490 12,62
4,682036 12,74
4,731247 12,80
4,780128 12,91
4,828650 12,99
4,876828 13,10
4,924663 13,17
4,972191 13,27
5,019334 13,39
5,066078 13,49
5,112579 13,53
5,158848 13,63
5,204861 13,68
5,250613 13,79
5,296085 13,85
5,341297 13,94
5,386237 14,02
5,430921 14,10
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_drzaku4.txt
0,0 → 1,80
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,261713 2,74
0,472942 3,26
0,654234 3,70
0,815828 4,09
0,963016 4,46
1,099024 4,79
1,226302 5,09
1,346377 5,38
1,460403 5,64
1,569270 5,91
1,673591 6,15
1,773926 6,38
1,870690 6,61
1,964280 6,82
2,054879 7,05
2,142661 7,27
2,228089 7,44
2,311387 7,65
2,392666 7,82
2,472112 8,00
2,549818 8,17
2,625896 8,35
2,700445 8,51
2,773587 8,67
2,845284 8,86
2,915522 9,04
2,984668 9,14
3,052785 9,31
3,119781 9,45
3,185774 9,60
3,250810 9,73
3,314930 9,87
3,378170 10,00
3,440595 10,13
3,502097 10,30
3,562716 10,43
3,622672 10,53
3,681957 10,67
3,740556 10,78
3,798509 10,91
3,855839 11,01
3,912567 11,14
3,968700 11,25
4,024281 11,36
4,079212 11,51
4,133546 11,61
4,187402 11,72
4,240771 11,83
4,293693 11,92
4,346151 12,04
4,398168 12,12
4,449758 12,24
4,500924 12,32
4,551694 12,43
4,601963 12,57
4,651782 12,65
4,701272 12,74
4,750403 12,84
4,799209 12,91
4,847671 13,02
4,895789 13,09
4,943588 13,20
4,991058 13,27
5,038219 13,37
5,085000 13,49
5,131369 13,61
5,177496 13,63
5,223412 13,74
5,269052 13,80
5,314416 13,90
5,359509 13,96
5,404346 14,06
5,448915 14,13
5,493238 14,22
5,537213 14,36
5,580898 14,41
5,624415 14,47
5,667714 14,55
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_drzaku5.txt
0,0 → 1,74
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,131213 3,24
0,313465 3,68
0,475620 4,09
0,623133 4,45
0,759600 4,77
0,887276 5,08
1,007791 5,35
1,122282 5,63
1,231476 5,89
1,336217 6,12
1,437013 6,36
1,534177 6,58
1,628003 6,82
1,718733 7,04
1,806858 7,22
1,892618 7,43
1,976169 7,61
2,057727 7,80
2,137378 7,98
2,215297 8,15
2,291601 8,32
2,366372 8,49
2,439614 8,67
2,511350 8,85
2,581898 8,97
2,651328 9,14
2,719612 9,27
2,786852 9,42
2,853075 9,56
2,918336 9,70
2,982673 9,83
3,046136 9,97
3,108648 10,13
3,170184 10,29
3,231040 10,36
3,291230 10,52
3,350673 10,62
3,409444 10,76
3,467546 10,87
3,525027 10,99
3,581889 11,11
3,638160 11,23
3,693748 11,38
3,748730 11,47
3,803222 11,59
3,857199 11,69
3,910723 11,78
3,963763 11,91
4,016331 12,00
4,068459 12,11
4,120148 12,20
4,171425 12,31
4,222208 12,44
4,272431 12,58
4,322320 12,61
4,371947 12,72
4,421218 12,79
4,470118 12,91
4,518666 12,97
4,566899 13,08
4,614788 13,16
4,662356 13,26
4,709551 13,37
4,756291 13,52
4,802785 13,51
4,849092 13,63
4,895105 13,68
4,940824 13,80
4,986258 13,86
5,031449 13,95
5,076373 14,02
5,121041 14,11
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_mimo1.txt
0,0 → 1,81
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,667109 1,61
1,021385 1,97
1,318126 2,29
1,577105 2,58
1,807782 2,88
2,017002 3,14
2,210486 3,37
2,392278 3,55
2,565053 3,72
2,730485 3,87
2,889412 4,04
3,042079 4,20
3,189161 4,35
3,330927 4,52
3,467176 4,71
3,598620 4,85
3,726089 5,01
3,850255 5,12
3,971771 5,23
4,090800 5,33
4,207368 5,45
4,321357 5,58
4,432949 5,69
4,542129 5,83
4,648562 5,98
4,752660 6,09
4,854863 6,21
4,955482 6,28
5,054900 6,36
5,153024 6,45
5,249754 6,54
5,344997 6,65
5,438824 6,74
5,531163 6,87
5,621728 7,01
5,710836 7,09
5,798805 7,19
5,885847 7,25
5,972273 7,29
6,057887 7,38
6,142552 7,46
6,226242 7,56
6,308956 7,64
6,390629 7,75
6,471004 7,88
6,550368 7,95
6,628985 8,03
6,707004 8,07
6,784686 8,10
6,861824 8,19
6,938262 8,25
7,013973 8,34
7,088954 8,42
7,163118 8,53
7,236251 8,65
7,308616 8,71
7,380445 8,78
7,451876 8,81
7,523134 8,83
7,593990 8,91
7,664300 8,96
7,734068 9,05
7,803253 9,12
7,871760 9,23
7,939402 9,35
8,006430 9,40
8,073072 9,46
8,139444 9,47
8,205763 9,47
8,271754 9,57
8,337276 9,61
8,402392 9,69
8,467026 9,75
8,531080 9,86
8,594373 9,99
8,657161 10,02
8,719661 10,08
8,781973 10,08
8,844304 10,08
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_mimo2.txt
0,0 → 1,83
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,327067 1,08
0,814857 1,60
1,168418 2,00
1,459200 2,35
1,711374 2,65
1,938060 2,90
2,146976 3,12
2,342319 3,32
2,526837 3,50
2,701961 3,69
2,868472 3,87
3,027498 4,04
3,179626 4,22
3,324848 4,43
3,464688 4,55
3,600458 4,70
3,732385 4,82
3,861078 4,94
3,986714 5,06
4,109162 5,20
4,228328 5,34
4,344530 5,47
4,457854 5,62
4,568004 5,79
4,675926 5,85
4,782318 5,96
4,886990 6,04
4,990278 6,12
5,092037 6,23
5,191949 6,35
5,289960 6,47
5,386222 6,58
5,480755 6,71
5,573344 6,86
5,664694 6,89
5,755306 6,98
5,844994 7,04
5,933928 7,09
6,021955 7,18
6,108751 7,30
6,194202 7,41
6,278416 7,51
6,361404 7,63
6,443009 7,77
6,523842 7,78
6,604308 7,84
6,684222 7,88
6,763727 7,92
6,842612 8,01
6,920543 8,12
6,997451 8,22
7,073405 8,32
7,148400 8,43
7,222381 8,55
7,295846 8,55
7,369098 8,60
7,442031 8,63
7,514772 8,65
7,587023 8,75
7,658479 8,84
7,729128 8,95
7,798994 9,04
7,868054 9,16
7,936279 9,26
8,004157 9,25
8,071945 9,29
8,139546 9,30
8,207118 9,30
8,274255 9,42
8,340654 9,50
8,406432 9,60
8,471551 9,70
8,535986 9,81
8,599701 9,92
8,663147 9,89
8,726604 9,91
8,789956 9,92
8,853326 9,91
8,916358 10,03
8,978767 10,11
9,040625 10,21
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_mimo3.txt
0,0 → 1,85
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,456101 1,98
0,752928 2,28
1,014092 2,55
1,249438 2,80
1,464305 3,06
1,661967 3,31
1,845838 3,53
2,019475 3,71
2,185172 3,88
2,344349 4,02
2,497544 4,19
2,644933 4,34
2,787071 4,50
2,924435 4,65
3,057315 4,81
3,185360 5,01
3,309792 5,09
3,431662 5,22
3,550802 5,33
3,667802 5,41
3,782423 5,55
3,894367 5,68
4,003814 5,81
4,110910 5,93
4,215700 6,07
4,317862 6,24
4,418317 6,27
4,517714 6,37
4,615774 6,44
4,712862 6,50
4,808605 6,63
4,902638 6,74
4,995101 6,85
5,086057 6,96
5,175500 7,09
5,263243 7,23
5,349987 7,25
5,436187 7,33
5,521642 7,38
5,606636 7,41
5,690715 7,54
5,773532 7,63
5,855255 7,74
5,935890 7,84
6,015390 7,97
6,093644 8,09
6,171286 8,09
6,248653 8,15
6,325572 8,19
6,402280 8,19
6,478318 8,33
6,553347 8,42
6,627549 8,52
6,700888 8,62
6,773325 8,73
6,844796 8,85
6,915864 8,83
6,986842 8,87
7,057564 8,90
7,128198 8,89
7,198322 9,03
7,267614 9,11
7,336221 9,21
7,404113 9,30
7,471242 9,42
7,537572 9,53
7,603623 9,50
7,669669 9,53
7,735561 9,54
7,801464 9,53
7,866956 9,66
7,931717 9,74
7,995898 9,84
8,059464 9,93
8,122359 10,05
8,184565 10,15
8,246577 10,11
8,308646 10,13
8,370644 10,14
8,432671 10,12
8,494388 10,24
8,555503 10,32
8,616083 10,42
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_mimo4.txt
0,0 → 1,79
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,411084 1,82
0,731568 2,13
1,010615 2,39
1,260183 2,66
1,485776 2,93
1,692546 3,16
1,885335 3,36
2,067286 3,55
2,240511 3,71
2,406114 3,88
2,564634 4,05
2,716672 4,22
2,862898 4,38
3,003635 4,55
3,138848 4,74
3,269743 4,86
3,397358 4,99
3,521857 5,10
3,643701 5,21
3,762916 5,33
3,879316 5,47
3,992878 5,60
4,103831 5,73
4,212217 5,87
4,317847 6,03
4,421578 6,09
4,523984 6,19
4,624919 6,26
4,724627 6,34
4,822958 6,44
4,919607 6,56
5,014509 6,68
5,107815 6,79
5,199534 6,91
5,289520 7,05
5,378431 7,08
5,466687 7,16
5,554117 7,22
5,640915 7,26
5,726798 7,37
5,811457 7,47
5,894912 7,58
5,977200 7,69
6,058307 7,81
6,138128 7,94
6,217259 7,94
6,296054 8,00
6,374348 8,05
6,452307 8,07
6,529606 8,18
6,605934 8,28
6,681345 8,38
6,755855 8,48
6,829444 8,60
6,902060 8,71
6,974260 8,69
7,046357 8,74
7,118162 8,77
7,189773 8,78
7,260925 8,88
7,331302 8,98
7,400902 9,08
7,469747 9,18
7,537815 9,29
7,605045 9,41
7,671951 9,38
7,738831 9,41
7,805518 9,43
7,872134 9,43
7,938372 9,54
8,003932 9,63
8,068844 9,73
8,133114 9,82
8,196722 9,93
8,259604 10,05
8,322270 10,00
8,385004 10,03
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_mimo5.txt
0,0 → 1,75
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,380591 1,55
0,745867 1,93
1,048127 2,25
1,309934 2,56
1,542406 2,86
1,753132 3,12
1,948293 3,33
2,132037 3,52
2,306462 3,69
2,473377 3,84
2,633300 4,02
2,786391 4,19
2,933593 4,35
3,075269 4,52
3,211265 4,72
3,342909 4,83
3,471301 4,96
3,596450 5,08
3,718794 5,19
3,838657 5,29
3,955757 5,44
4,069854 5,57
4,181354 5,70
4,290271 5,84
4,396319 6,01
4,500428 6,06
4,603255 6,16
4,704558 6,24
4,804589 6,32
4,903289 6,41
5,000308 6,54
5,095515 6,66
5,189101 6,77
5,281059 6,90
5,371193 7,05
5,460248 7,06
5,548710 7,14
5,636331 7,20
5,723231 7,26
5,809308 7,34
5,894228 7,46
5,977845 7,57
6,060301 7,67
6,141580 7,79
6,221542 7,93
6,300805 7,93
6,379772 7,99
6,458234 8,03
6,536287 8,07
6,613773 8,15
6,690355 8,26
6,765926 8,37
6,840588 8,47
6,914314 8,58
6,987009 8,71
7,059238 8,69
7,131330 8,74
7,203131 8,76
7,274691 8,80
7,345820 8,87
7,416233 8,98
7,485812 9,08
7,554637 9,18
7,622692 9,29
7,689886 9,41
7,756756 9,38
7,823621 9,42
7,890308 9,43
7,956870 9,45
8,023086 9,53
8,088689 9,63
8,153603 9,73
8,217863 9,83
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_prstenec2.txt
0,0 → 1,81
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,231610 2,57
0,458737 2,99
0,656850 3,37
0,834671 3,71
0,997426 4,02
1,148205 4,32
1,289581 4,57
1,423389 4,82
1,550462 5,07
1,671774 5,29
1,787993 5,53
1,899853 5,71
2,007876 5,93
2,112202 6,12
2,213216 6,32
2,311049 6,53
2,406233 6,68
2,499121 6,85
2,589640 7,03
2,678059 7,18
2,764459 7,36
2,849038 7,50
2,931978 7,66
3,013244 7,81
3,092889 7,97
3,170859 8,15
3,247445 8,26
3,322936 8,39
3,397180 8,54
3,470197 8,67
3,542072 8,82
3,612943 8,92
3,682861 9,06
3,751789 9,17
3,819734 9,32
3,886562 9,48
3,952517 9,57
4,017866 9,66
4,082356 9,83
4,145976 9,93
4,208821 10,07
4,271003 10,14
4,332560 10,28
4,393423 10,37
4,453615 10,51
4,513031 10,64
4,571892 10,71
4,630204 10,84
4,687758 10,99
4,744816 11,03
4,801370 11,19
4,857472 11,21
4,913108 11,38
4,968183 11,44
5,022752 11,59
5,076648 11,73
5,130100 11,78
5,183282 11,85
5,236015 11,98
5,288287 12,06
5,340067 12,21
5,391479 12,23
5,442573 12,37
5,493245 12,43
5,543532 12,56
5,593279 12,71
5,642643 12,75
5,691830 12,80
5,740672 12,93
5,789132 13,00
5,837197 13,15
5,884982 13,15
5,932518 13,28
5,979731 13,33
6,026650 13,45
6,073104 13,60
6,119240 13,64
6,165242 13,68
6,210977 13,80
Property changes:
Added: svn:executable
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/dokumenty/skolni/PRA1/11-Rotace/data/rotace_prstenec3.txt
0,0 → 1,74
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,142720 4,81
0,270260 5,05
0,391960 5,28
0,508652 5,49
0,620759 5,72
0,728853 5,91
0,833449 6,11
0,934693 6,30
1,032883 6,50
1,128110 6,70
1,220899 6,84
1,311557 7,02
1,399979 7,19
1,486453 7,34
1,571082 7,51
1,653964 7,65
1,735240 7,81
1,814943 7,96
1,893116 8,12
1,969684 8,29
2,044950 8,40
2,119173 8,53
2,192177 8,69
2,264033 8,80
2,334822 8,95
2,404601 9,06
2,473433 9,20
2,541317 9,31
2,608250 9,46
2,674115 9,62
2,739146 9,71
2,803590 9,79
2,867218 9,96
2,930037 10,05
2,992132 10,19
3,053587 10,26
3,114427 10,40
3,174597 10,49
3,234106 10,63
3,292815 10,77
3,350928 10,85
3,408685 10,91
3,465836 11,08
3,522354 11,15
3,578344 11,29
3,633860 11,34
3,688922 11,48
3,743488 11,55
3,797550 11,69
3,850972 11,83
3,903956 11,89
3,956644 11,96
4,008920 12,08
4,060783 12,15
4,112144 12,31
4,163143 12,33
4,213832 12,47
4,264075 12,55
4,313949 12,65
4,363325 12,80
4,412308 12,85
4,461135 12,88
4,509642 13,02
4,557742 13,10
4,605454 13,24
4,652915 13,24
4,700130 13,38
4,746986 13,44
4,793561 13,54
4,839714 13,69
4,885540 13,73
4,931239 13,77
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_prstenec4.txt
0,0 → 1,74
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,283277 3,16
0,471813 3,52
0,642415 3,86
0,799713 4,14
0,946765 4,41
1,085060 4,68
1,216047 4,92
1,340696 5,17
1,459960 5,37
1,574566 5,60
1,684831 5,80
1,791221 6,01
1,893923 6,23
1,993550 6,39
2,090486 6,58
2,184721 6,76
2,276653 6,91
2,366388 7,09
2,454159 7,22
2,540017 7,41
2,623890 7,57
2,705994 7,74
2,786280 7,92
2,865091 8,03
2,942621 8,18
3,018747 8,33
3,093654 8,45
3,167382 8,60
3,239988 8,71
3,311490 8,87
3,381880 8,99
3,451211 9,14
3,519391 9,29
3,586658 9,39
3,653228 9,49
3,718919 9,64
3,783766 9,74
3,847791 9,89
3,911117 9,95
3,973781 10,10
4,035681 10,20
4,096862 10,34
4,157203 10,49
4,216897 10,56
4,276150 10,64
4,334790 10,79
4,392805 10,87
4,450196 11,02
4,507093 11,06
4,563506 11,21
4,619342 11,29
4,674643 11,43
4,729284 11,57
4,783465 11,63
4,837319 11,71
4,890711 11,83
4,943653 11,91
4,996077 12,06
5,048130 12,08
5,099849 12,22
5,151103 12,30
5,201940 12,42
5,252247 12,56
5,302178 12,61
5,351991 12,62
5,401521 12,75
5,450666 12,82
5,499437 12,95
5,547933 12,96
5,596155 13,10
5,644029 13,15
5,691573 13,28
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_prstenec5.txt
0,0 → 1,80
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,188900 3,67
0,353293 3,99
0,505400 4,29
0,647927 4,54
0,782777 4,79
0,910642 5,05
1,032629 5,26
1,149624 5,49
1,262126 5,69
1,370561 5,90
1,475371 6,09
1,576886 6,29
1,675126 6,50
1,770731 6,65
1,864033 6,83
1,954814 7,02
2,043430 7,16
2,130142 7,33
2,215022 7,47
2,298147 7,64
2,379616 7,78
2,459504 7,95
2,537681 8,13
2,614490 8,24
2,690264 8,35
2,764619 8,55
2,837653 8,65
2,909677 8,80
2,980666 8,91
3,050637 9,05
3,119652 9,16
3,187696 9,31
3,254611 9,47
3,320666 9,56
3,386089 9,65
3,450635 9,82
3,514316 9,91
3,577269 10,05
3,639534 10,13
3,701108 10,28
3,762005 10,36
3,822219 10,51
3,881613 10,65
3,940408 10,73
3,998819 10,79
4,056579 10,97
4,113673 11,04
4,170253 11,17
4,226362 11,23
4,281969 11,37
4,337077 11,43
4,391688 11,58
4,445635 11,71
4,499126 11,78
4,552391 11,81
4,605177 11,99
4,657417 12,06
4,709242 12,19
4,760715 12,23
4,811807 12,37
4,862477 12,43
4,912801 12,54
4,962596 12,70
5,011986 12,75
5,061239 12,77
5,110127 12,94
5,158565 13,00
5,206640 13,13
5,254464 13,14
5,302008 13,29
5,349133 13,38
5,396043 13,41
5,442568 13,60
5,488706 13,64
5,534725 13,67
5,580473 13,80
5,625882 13,87
5,670954 14,01
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_zmena2.txt
0,0 → 1,108
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,326214 2,74
0,555833 2,74
0,784956 2,75
1,013664 2,75
1,242526 2,74
1,471974 2,73
1,702202 2,73
1,933418 2,71
2,165731 2,70
2,399030 2,69
2,631390 2,72
2,827545 3,89
2,957809 6,34
3,044630 8,43
3,115572 9,33
3,182993 9,31
3,250642 9,27
3,318664 9,20
3,387051 9,17
3,455707 9,13
3,524710 9,08
3,593994 9,06
3,663400 9,05
3,732917 9,03
3,802539 9,02
3,872304 8,99
3,942295 8,96
4,012623 8,91
4,083283 8,88
4,154179 8,85
4,225298 8,82
4,296529 8,82
4,367695 8,84
4,438799 8,84
4,509940 8,83
4,581220 8,80
4,652735 8,77
4,724579 8,72
4,796760 8,69
4,869205 8,66
4,941883 8,63
5,014676 8,63
5,087416 8,65
5,160102 8,64
5,232830 8,64
5,305696 8,61
5,378809 8,58
5,452267 8,53
5,526079 8,50
5,600202 8,46
5,674588 8,44
5,749097 8,43
5,823551 8,45
5,897963 8,44
5,972453 8,43
6,047129 8,40
6,122089 8,37
6,197420 8,32
6,273110 8,29
6,349067 8,26
6,425255 8,24
6,501554 8,23
6,577756 8,26
6,653876 8,25
6,730084 8,24
6,806504 8,20
6,883273 8,16
6,960497 8,11
7,038171 8,07
7,116190 8,04
7,194467 8,02
7,272870 8,01
7,351191 8,03
7,429428 8,03
7,507722 8,02
7,586253 7,98
7,665119 7,95
7,744379 7,90
7,824050 7,87
7,904001 7,85
7,984182 7,83
8,064469 7,82
8,144633 7,85
8,224696 7,84
8,304809 7,84
8,385163 7,80
8,465878 7,77
8,546989 7,72
8,628530 7,69
8,710407 7,66
8,792559 7,64
8,874836 7,64
8,957006 7,66
9,039084 7,65
9,121232 7,64
9,203648 7,60
9,286443 7,58
9,369651 7,53
9,453285 7,50
9,537251 7,47
9,621511 7,45
9,705923 7,44
9,790267 7,46
9,874620 7,44
9,959130 7,43
10,043939 7,39
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_zmena3.txt
0,0 → 1,46
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,194830 1,89
0,527772 1,89
0,861054 1,88
1,194647 1,88
1,528502 1,88
1,855123 1,97
2,100206 3,68
2,239169 5,87
2,343365 6,20
2,445146 6,15
2,547615 6,12
2,650406 6,11
2,753306 6,10
2,856280 6,10
2,959321 6,10
3,062730 6,06
3,166559 6,05
3,270775 6,01
3,375640 5,97
3,481115 5,94
3,587098 5,92
3,693366 5,91
3,799691 5,91
3,906043 5,91
4,012353 5,91
4,118814 5,89
4,225543 5,88
4,332635 5,85
4,440419 5,81
4,548821 5,78
4,657705 5,76
4,766886 5,75
4,876123 5,75
4,985407 5,75
5,094677 5,75
5,204134 5,73
5,313960 5,71
5,424292 5,68
5,535408 5,63
5,647205 5,61
5,759561 5,58
5,872252 5,57
5,985016 5,57
6,097841 5,57
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_zmena4.txt
0,0 → 1,42
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,503527 1,56
0,908036 1,55
1,315018 1,54
1,723695 1,53
2,123700 1,61
2,423310 3,01
2,591333 4,93
2,717195 5,05
2,841280 5,07
2,965417 5,05
3,090172 5,02
3,215649 4,99
3,341863 4,97
3,468730 4,94
3,596234 4,92
3,724185 4,90
3,852267 4,91
3,980542 4,89
4,109117 4,88
4,238118 4,86
4,367690 4,84
4,497917 4,81
4,628869 4,79
4,760439 4,76
4,892593 4,75
5,025110 4,74
5,157673 4,74
5,290270 4,74
5,423141 4,72
5,556484 4,70
5,690394 4,68
5,825033 4,65
5,960444 4,63
6,096448 4,61
6,233012 4,59
6,370055 4,58
6,507232 4,58
6,644524 4,57
6,782096 4,56
6,920146 4,54
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data/rotace_zmena5.txt
0,0 → 1,99
Velocity, Run #16
Time ( s ) Velocity ( rad/s )
0,156755 3,73
0,327042 3,65
0,499948 3,62
0,674235 3,59
0,849543 3,57
1,025850 3,55
1,203386 3,52
1,381951 3,51
1,560827 3,51
1,739676 3,51
1,918252 3,52
2,096898 3,51
2,275808 3,51
2,455012 3,50
2,634907 3,49
2,815470 3,47
2,996547 3,47
3,177839 3,47
3,359023 3,47
3,540027 3,47
3,720442 3,49
3,891482 3,87
4,031337 5,35
4,134572 7,07
4,217081 8,26
4,290267 8,94
4,359250 9,28
4,426600 9,38
4,493654 9,37
4,560739 9,37
4,627773 9,38
4,694915 9,34
4,762261 9,32
4,829866 9,27
4,897915 9,20
4,966302 9,17
5,034913 9,14
5,103645 9,14
5,172364 9,15
5,241053 9,15
5,309694 9,16
5,378428 9,12
5,447339 9,11
5,516479 9,06
5,586001 9,01
5,655815 8,99
5,725832 8,96
5,795994 8,95
5,866172 8,95
5,936320 8,96
6,006418 8,97
6,076588 8,94
6,146938 8,92
6,217549 8,87
6,288572 8,82
6,359872 8,81
6,431347 8,78
6,502979 8,77
6,574645 8,77
6,646293 8,77
6,717923 8,77
6,789662 8,75
6,861569 8,73
6,933738 8,68
7,006370 8,62
7,079350 8,60
7,152560 8,57
7,225924 8,56
7,299331 8,56
7,372772 8,56
7,446209 8,56
7,519752 8,53
7,593469 8,52
7,667432 8,47
7,741807 8,42
7,816485 8,41
7,891362 8,38
7,966368 8,38
8,041388 8,37
8,116403 8,38
8,191392 8,38
8,266463 8,36
8,341687 8,35
8,417163 8,30
8,493067 8,25
8,569306 8,23
8,645757 8,21
8,722338 8,20
8,798945 8,20
8,875560 8,20
8,952128 8,21
9,028777 8,18
9,105632 8,17
9,182785 8,12
9,260422 8,07
9,338378 8,05
9,416508 8,03
Property changes:
Added: svn:executable
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\ No newline at end of property

/dokumenty/skolni/PRA1/11-Rotace/data.ods
Cannot display: file marked as a binary type.
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0,0 → 1,1517
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/dokumenty/skolni/PRA1/12-Tepelne_stroje/Tepelne_stroje.tex
0,0 → 1,117
\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Tepelné Stroje}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{2.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Zabývali jsme se schopností tepelného stroje přeměňovat teplo na práci. Pracovní plyn tepelného stroje po zahřátí zdvihal závaží, čímž konal mechanickou práci. Práci konanou plynem jsme měřili tlakovým a rotačním senzorem.
\end{abstract}
\section{Pracovní úkoly}
\begin{enumerate}
\item Zkalibrujte tlakoměr, zkontrolujte čidlo pro odečítání polohy pístu.
\item rozeberte nastíněný pracovní cyklus, popište jeho jednotlivé fáze v p - V diagramu.
\item Proveďte opakovaně popsaný cyklus s různými závažími. Získejte pro každé měření plochu uzavřenou křivkami v p-V diagramu a spočítejte rozdíl potenciálních energií pro dané závaží. Vynášejte obě hodnoty do grafu, výsledné hodnoty proložte přímkou. $W =a \cdot \Delta E+b$
\item Změřte hodnotu vnitřního odporu Peltierovy součástky.
\item Změřte účinnost Peltierova aparátu. Srovnejte s účinností Carnotova cyklu pro lázně stejných teplot. Opakujte několik měření pro různé teploty horké lázně. Vyneste hodnoty \begin{math}\varepsilon_{carnot},\,\varepsilon \end{math} do grafu, kde na ose x bude teplota horké lázně.
\item Započítejte k účinnosti vnitřní odpor a výkon obcházející součástku. K energii rozptýlené na zátěžovém odporu je třeba přidat energii rozptýlenou na vnitřním odporu.
\end{enumerate}
\section{Úvod}
Tepelný stroj je užitečné zařízení oblíbené hlavně kvůli svojí schopnosti převádět část tepelné energie na užitečnou práci. Účinnost takového stoje je dána vztahem.
\begin{equation}
W = Q_1 - Q_2 = Q_1\frac{T_1 - T_2}{T_1}, \label{carnot}
\end{equation}čímž je dána maximální teoretická účinnost tepelného stroje
\begin{equation}
\varepsilon_{max} = \frac{T_1 - T_2}{T_1} \label{ucinnost}
\end{equation}
V reálné situaci je tato účinnost menší z důvodu působení disipativních sil na různé části stroje, které způsobí, že část mechanické energie je přeměněna zpět na nepoužitelné teplo.
\section{Postup měření}
\subsection{Měření účinnosti Peltierova článku}
Aparaturu jsme zapojili podle zadání tak, aby bylo možné měřit elektrický příkon do zahřívacího odporu i výkon dodávaný do zátěže Peltierovým článkem.
Po uvedení přístrojů do provozu měření probíhalo tak, že jsme nastavili teplotu horké lázně a při odpojené zátěži počkali, až se ustálí. Následně jsme odečetli napětí, na Peltierově článku. A zátěž zapojili, teplotu horké lázně bylo nyní potřeba dorovnat na teplotu při odpojené zátěži, aby bylo možné určit vnitřní odpor měřeného článku a tepelný výkon, který neprochází přímo aktivní oblastí. Naměřená data jsou uvedena v tabulce \ref{Peltier} kde každý druhý řádek odpovídá připojené zátěži R = 2 Ohm.
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
$U_{h} [V]$ & \% & $I_{h} [A]$ & \% & $U_{sr}$ [mV] & $T_h [^\circ C]$ & $T_c [^\circ C]$\\ \hline
2,02 & 2,38 & 0,40 & 6,00 & 139,9 & 13 & 7 \\ \hline
2,40 & 2,00 & 0,47 & 5,11 & 84,9 & 13 & 7 \\ \hline
2,40 & 2,00 & 0,48 & 5,00 & 169,1 & 15 & 7,5 \\ \hline
2,70 & 8,89 & 0,54 & 4,44 & 101,9 & 15 & 7,5 \\ \hline
4,00 & 6,00 & 0,78 & 3,08 & 410 & 27 & 9 \\ \hline
4,50 & 5,33 & 0,86 & 2,79 & 236 & 27 & 10 \\ \hline
5,00 & 4,80 & 1,00 & 2,40 & 633 & 38 & 11 \\ \hline
5,20 & 4,62 & 1,01 & 2,38 & 310 & 38 & 15 \\ \hline
6,10 & 3,93 & 1,20 & 2,00 & 907 & 56 & 18 \\ \hline
6,50 & 3,69 & 1,30 & 9,23 & 487 & 56 & 20 \\ \hline
\end{tabular}
\end{center}
\caption{Hodnoty naměřené na Peltierově článku}
\label{Peltier}
\end{table}
Z těchto hodnot jsme pak podle zdroje \cite{Peltier} vypočetli jeho účinnost, která byla bez korekce pod jedním procentem. Jak je vidět na grafu \ref{PeltierXCarnot}. Hodnota vnitřního elektrického odporu Peltierovy součástky nám vyšla 1,34 $m\Omega$.
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{peltier.pdf}
\end{center}
\caption{Učinnost Peltierova článku v porovnání s ideálním Carnotovým strojem za stejných podmínek}
\label{PeltierXCarnot}
\end{figure}
Při aplikování korekce na vnitřní odpor a tepelné ztráty (opět podle zdroje \cite{Peltier}) se účinnost dostala přibližně na 4,55\%.
\subsection{Carnotův Cyklus}
Po kalibraci tlakoměru závažím hmotnosti (100g)
Jsme píst tepelného stroje zatěžovali závažím o definované hmotnosti a ze změny jeho potenciální energie v průběhu pracovního cyklu viz. obrázek \ref{cyklus} jsme určili práci, kterou stroj vykonal.
Energii v Carnotova cyklu jsme získali výpočtem z uzavřené plochy p-V diagramu V programu DataStudio. Náš naměřený výsledek je vidět v grafu \ref{carnot}.
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{./data/tepl100g.png}
\end{center}
\caption{Pracovní cyklus pístu zatíženého závažím 100g}
\label{cyklus}
\end{figure}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{carnot.pdf}
\caption{Práce a energie laboratorního tepelného stroje.}
\label{carnot}
\end{center}
\end{figure}
Při nafitování naměřených bodů výrazem $W =a \cdot \Delta E+b$ se ukázalo, že koeficienty jsou: $a = 1.04815 \pm 0.01257$ , $b = 0.00517276 \pm 0.0008125$ Což znamená, že mechanická účinnost laboratorní aparatury je přibližně 95\%. Což není překvapivé vzhledem k jednoduchosti stroje, kdy je navíc pracovní medium přemisťováno mezi chladnou a studenou lázní za pomoci jiného zdroje energie.
\section{Diskuse}
Při měření Peltierova článku by bylo asi vhodné použít kratší přívodní hadičky ke chladící lázni, jelikož voda se tak zbytečně ohřívá z původní teploty tání ledu a teplota studené strany článku se tak stává nestabilní.
\section{Závěr}
Potvrdili jsme, že účinnost Peltierova článku je značně nízká ve srovnání s Carnotovým cyklem, což opodstatňuje jeho nepoužití v elektrárnách místo parních turbín k přímému generování elektrické energie.
\begin{thebibliography}{99}
\bibitem{Stroje}{Zadání úlohy 12 - Tepelný stroj}. \href{http://praktika.fjfi.cvut.cz/TepelnyStroj}{http://praktika.fjfi.cvut.cz/TepelnyStroj}
\bibitem{Peltier}{Zadání úlohy 12 - Účinnost tepelného stroje}.\href{http://fyzika.fjfi.cvut.cz/Peltier}{http://fyzika.fjfi.cvut.cz/Peltier}
\end{thebibliography}
\end{document}

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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 3 /asteriskmath put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 69 /E put
dup 87 /W put
dup 97 /a put
dup 98 /b put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 1 /Delta put
dup 12 /fi put
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 23 /ring put
dup 39 /quoteright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 64 /at put
dup 74 /J put
dup 75 /K put
dup 78 /N put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 107 /k put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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/dokumenty/skolni/PRA1/12-Tepelne_stroje/carnot.txt
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/dokumenty/skolni/PRA1/12-Tepelne_stroje/data.ods
Cannot display: file marked as a binary type.
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/dokumenty/skolni/PRA1/12-Tepelne_stroje/fit.log
0,0 → 1,283
*******************************************************************************
Sun Nov 8 21:53:29 2009
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
*******************************************************************************
Sun Nov 8 21:54:06 2009
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 3.93726 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
initial set of free parameter values
a = 1
b = 1
After 5 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.24111e-11
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.868 1.000
*******************************************************************************
Sun Nov 8 21:55:11 2009
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
initial set of free parameter values
a = 1.04815
b = 0.00517276
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.44611e-15
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.868 1.000
*******************************************************************************
Mon Nov 9 00:52:29 2009
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 3.93726 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
initial set of free parameter values
a = 1
b = 1
After 5 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.24111e-11
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.868 1.000
*******************************************************************************
Mon Nov 9 00:53:49 2009
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
initial set of free parameter values
a = 1.04815
b = 0.00517276
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : -2.44611e-15
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.868 1.000
*******************************************************************************
Mon Nov 9 00:55:32 2009
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
initial set of free parameter values
a = 1.04815
b = 0.00517276
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : 0
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.868 1.000
*******************************************************************************
Mon Nov 9 00:57:36 2009
FIT: data read from "carnot.txt" using 1:2
#datapoints = 4
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.29854e-06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.708582
initial set of free parameter values
a = 1.04815
b = 0.00517276
After 1 iterations the fit converged.
final sum of squares of residuals : 1.29854e-06
rel. change during last iteration : 0
degrees of freedom (FIT_NDF) : 2
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000805774
variance of residuals (reduced chisquare) = WSSR/ndf : 6.49272e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 1.04815 +/- 0.01257 (1.199%)
b = 0.00517276 +/- 0.0008125 (15.71%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.868 1.000

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/dokumenty/skolni/PRA1/12-Tepelne_stroje/peltier.txt
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set terminal postscript
set key off
set xlabel "dE [J]"
set ylabel "W [J]"
set output "carnot.ps"
f(x)=a*x+b
fit f(x) "carnot.txt" using 1:2 via a,b
plot "carnot.txt" using 1:2, f(x)
!ps2pdf carnot.ps
set key under
set xlabel "Th [K]"
set ylabel "Efficiency"
set output "peltier.ps"
#f(x)=a*x+b
#fit f(x) "peltier.txt" using 1:2 via a,b
plot "peltier.txt" using 1:2 title "Carnot", "" using 1:3 title "Peltier"
!ps2pdf peltier.ps

/dokumenty/skolni/PRA1/4-Poisson/poisson.dvi
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%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 6 /plusminus put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 18 /parenleftbigg put
dup 19 /parenrightbigg put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171
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469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8
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AF20572EF7A90C57BA6BB4F6FE2E8BF9D6B125918516F0C7D7A2C0A956BF99E2
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cleartomark
%%EndFont
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /prime put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964
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221A37D9A807DD01161779DDE7D5FC1B2109839E5B52DFBB2A7C1B5D8E7E8AA0
5B10EA43D6A8ED61AF5B23D49920D8F79DAB6A59062134D84AC0100187A6CD1F
80F5DDD9D222ACB1C23326A7656A635C4A241CCD32CBFDF8363206B8AA36E107
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133F1E59BBEF76037FEFAD9A067DABC0F3B4064CC55152A17D667AC39B66A4E6
1C2F8E36A56B569BB14584735C1DFDA557D5DD1D22D96D617D824C864B00E027
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30CAA928BC525604E92B2B78132360EE7025D54F427D59D81B8BAF192A6F79C7
18B98500457845855BD50E25B93FF6ABD58898CF45746265DDD4D038BFF2B804
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cleartomark
%%EndFont
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171
9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F
D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758
469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8
2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C
68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361
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48A7EA0069A883EC1DAA3E1F9ECE7586D6CF0A128CD557C7E5D7AA3EA97EBAD3
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cleartomark
%%EndFont
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 20 /kappa put
dup 73 /I put
dup 80 /P put
dup 86 /V put
dup 99 /c put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE
3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B
532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470
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D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5
5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC
4391C9DF440285B8FC159D0E98D4258FC57892DDF753642CD526A96ACEDA4120
788F22B1D09F149794E66DD1AC2C2B3BC6FEC59D626F427CD5AE9C54C7F78F62
C36F49B3C2E5E62AFB56DCEE87445A12A942C14AE618D1FE1B11A9CF9FAA1F32
617B598CE5058715EF3051E228F72F651040AD99A741F247C68007E68C84E9D1
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5D0740C16ADF0AFD47C4938F373575C6CA91E46D88DE24E682DEC44B57EA8AF8
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8936419D857CD9F59EBA20B0A3D9BA4A0D3395336B4CDA4BA6451B6E4D1370FA
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AD3A7CCE2B771843D69F860DA4059A71494281C0AD8D4BAB3F67BB6739723C04
AE05F9E35B2B2CB9C7874C114F57A185C8563C0DCCA93F8096384D71A2994748
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85B3851248F26A134F1CA36BB88B0AD4B229FA59662021CB6254FAF834A85D4C
2495356F9730E4EE4BBB9342B0C5CD74DA43B39B453FFC32DB6169869E6767FA
F2D421F6AD4409506A73C4ED928D1EF45C85E68E96435FD9680D4DF66CBAC913
4EC4D5FB5E9CBF1358D08B3EE562B13A24A21A3CC4604CB7E5EB6BDC41746FD9
2AE714E2BB255552917D6D66080F2A1AC29915400E7D76FAFAC935FD874E2F07
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32B1A1A8FD300C30FE0393C8C4599138D44D74A55E17430F39044930D9B7CCAC
6A7A87CA94A1B5937626BD2A67B79AAA2569C60334C9179B004AB6D6801CA230
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0ACA93DD75E3E21CE3C7D4ADE58E3B1312A267E156E447D948B640DDCADA65DE
1AAA5353F402675C036B3F4FE323BA6A5C0FF1ACC45FF200A9816F1B7A4D88C5
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400AE71FBCE051A3EB46CCFEB8706877BA6B72B55C199EE8EE5732AC11A1601D
8428497FD0097BA8969D1E48DDF5E2EAB209C16DB36B729C8B64955D517DE575
C7C0082148C34E554A872E8A9E9055BF0B49E85014CEF71584D4F1F09417326E
1DE4C571B7F686590C920F91D609685F4B3B0C080AAAE0ADD4F34A3EE071C55D
534346B80339F5126180F5B85565EFBE05544477BF4D29CC380846D637D3DD18
9F821C62E4B92770245B190A0D9D4CE5017921633D7ACFA57074EF5DD17E68EF
96212CEA390A48FAA810D3503EAF722CD05C68863C98B333F33C5FC3D1216334
A2268D7E6476843D91BFB9BF3DDA2EC796D3488D60EC15A3C0B04CE07B815B52
02D0CE21FAA9C0FD5262B92297947AD37BC8813D8DF22CBD70248C066BF6E44E
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cleartomark
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 20 /kappa put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 67 /C put
dup 84 /T put
dup 86 /V put
dup 98 /b put
dup 99 /c put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 13 /fl put
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 23 /ring put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 64 /at put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 72 /H put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 107 /k put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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%%EndFont
%%BeginFont: CMR17
%!PS-AdobeFont-1.1: CMR17 1.0
%%CreationDate: 1991 Aug 20 16:38:24
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR17) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR17 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 80 /P put
dup 85 /U put
dup 97 /a put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-33 -250 945 749}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
TeXDict begin 39158280 55380996 1000 600 600 (poisson.dvi)
@start /Fa 134[71 2[71 75 52 53 55 1[75 67 75 112 37
71 41 37 75 2[61 75 60 75 65 16[92 2[128 25[67 67 67
2[37 22[102 2[67 67 2[37 16[{}30 119.552 /CMBX12 rf /Fb
249[77 5[77{}2 99.6264 /CMSY10 rf /Fc 236[61 61 18[{}2
83.022 /CMEX10 rf /Fd 207[19 48[{}1 66.4176 /CMSY8 rf
/Fe 203[35 35 35 35 49[{}4 66.4176 /CMR8 rf /Ff 156[31
12[41 5[45 6[31 52[41 20[{}5 66.4176 /CMMI8 rf /Fg 139[35
46 44 1[49 47 58 85 29 51 1[33 56 47 3[42 41 11[57 1[57
16[70 5[49 76 27 27 37[56 20[{}22 99.6264 /CMMI12 rf
/Fh 133[43 51 51 1[51 54 38 38 38 1[54 49 54 81 27 51
30 27 54 49 30 43 54 43 54 49 3[27 1[27 60 3[73 73 70
54 2[66 76 73 89 61 76 50 1[73 3[75 70 69 73 3[76 2[27
49 49 49 49 49 49 49 49 49 49 49 27 33 27 76 1[38 38
27 15[73 2[49 49 2[27 2[54 54 12[{}69 99.6264 /CMR12
rf /Fi 134[85 2[85 90 63 64 66 1[90 81 90 134 45 85 1[45
2[49 74 90 72 1[78 6[99 4[124 2[120 1[110 11[124 14[81
81 81 81 81 28[81 81 2[45 16[{}31 143.462 /CMBX12 rf
/Fj 139[41 41 43 6[55 8[58 51 31[79 65[{}7 90.9091 /CMBX10
rf /Fk 133[52 4[65 5[59 65 98 33 62 1[33 5[52 65 59 21[91
60 9[91 6[59 5[59 59 59 59 1[33 1[33 24[59 19[{}22 119.552
/CMR12 rf /Fl 133[70 83 2[83 88 61 62 61 2[79 88 2[83
1[43 88 2[70 88 70 1[79 11[119 4[108 59[79 79 2[43 16[{}21
172.188 /CMR17 rf end
%%EndProlog
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TeXDict begin
%%BeginPaperSize: a4
/setpagedevice where
{ pop << /PageSize [595 842] >> setpagedevice }
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\begin{document}
\title{Určení Poissonovy konstanty vzduchu}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{30.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
\end{abstract}
\section{Pracovní úkoly}
\begin{enumerate}
\item Změřte kompresí plynu objem baňky systému s kmitajícím pístkem.
\item Změřte Poissonovu konstantu metodou adiabatické expanze a současně metodou kmitajícího pístku.
\item Oba výsledky porovnejte. Výsledek metody kmitajícího pístku považujte za tabulkovou hodnotu Poissonovy konstanty.
\item Jednolitrovou láhev zvažte prázdnou.
\item Jednolitrovou láhev zvažte plnou vody.
\item Z obou výsledků určete objem lahve.
\item Objem prázdné jednotlitrové lahve určete kompresí plynu.
\item Stejným postupem změřte objem hadičky spojující byretu s měřeným prostorem. Tuto hodnotu odečtěte od výsledku podle bodu 7.
\end{enumerate}
\section{Úvod}
Poissonova konstanta $\kappa $ je poměr měrného tepla $C_{P}$ při stálém tlaku ke měrnému teplu $C_{V}$ při stálém objemu
\begin{displaymath} \kappa = \frac{C_P }{C_V }. \end{displaymath}
$\kappa $ má ve všech soustavách stejnou číselnou hodnotu. Pro všechny plyny je poměr specifických tepel $\kappa $ větší než 1 a závisí na počtu atomů v molekule plynu. Hodnotu $\kappa $ můžeme určit ze změny tlaku při adiabatickém ději, který je popsán Poissonovou rovnicí
\begin{displaymath} pV^\kappa = konst. \end{displaymath}
kde $p$, $V$ jsou tlak a objem plynu.
Pro měření Poissonovy konstanty vzduchu jsme mimo jiné použili Clémentovu-Désormesovu metodu. Jejíž princip spočívá ve stlačení vzduchu ve velké báni, aby měl proti vnějšímu barometrickému tlaku $b$ přetlak $h$. Ten odečteme jako výškový rozdíl hladin otevřeného manometru, který je k báni připojen. Tlak vzduchu v báni je pak
\begin{displaymath} p_1 = b + h. \end{displaymath}
Příslušný objem vzduchu před adiabatickou expanzí je $V_{1}$, po adiabatické expanzi $V_{2}$. Teplotu plynu, která by měla být shodná s teplotou okolí báně rozumíme $T_{1}$. Vnitřek báně je od vnějšího vzduchu oddělen membránovým závěrem. Otevřeme-li jej dostatečně ale na velmi krátkou dobu, vyrovnají se tlaky uvnitř a vně na hodnotu barometrického tlaku $b$.
\begin{displaymath} p_2 = b. \end{displaymath}
Proběhne tedy adiabatická expanze vzduchu v báni z počátečních podmínek $V_{1}$, $T_{1}$, $p_{1}$ do stavu určeného veličinami $V_{2}$, $T_{2} \quad < T_{1}$, $p_{2}$ (kde $V_{2}$ je objem báně). Po dosti dlouhé době se teplota vzduchu v báni vyrovná na vnější teplotu $T_{1}$ a tlak přitom stoupne o přírůstek $ h'$, který změříme. Tato změna je izochorická. Celkový tlak je
\begin{displaymath} p_3 = b + h^I. \end{displaymath}
Pro první (adiabatickou) změnu stavu vzduchu dostaneme z Poissonovy rovnice za předpokladu, že vzduch můžeme považovat za ideální plyn,
\begin{displaymath} \frac{p_1 }{p_2 } = \left( {\frac{V_2 }{V_1 }} \right)^\kappa . \end{displaymath}
Změna ze stavu $V_{1}$, $T_{1}$, $p_{1}$ do stavu $V_{3}= V_{2}$, $T_{3} = T_{1}$, $p_{3}$ je izotermická a platí pro ni Boyle-Mariotteův zákon
\begin{displaymath} \frac{p_1 }{p_3 } = \frac{V_2 }{V_1 }. \end{displaymath}
Sloučíme-li předchozí rovnice dostaneme
\begin{displaymath} \kappa=\frac{log(b+h)-logb}{log(b+h)-log(b+h')} \end{displaymath}
Po odlogaritmování pak dostaneme výsledný vztah
\begin{displaymath} \kappa=\frac{h}{h-h'} \end{displaymath}
Který ovšem neuvažuje chybu způsobenou nenulovou dobou otevření ventilu. Z toho důvodu je přesnější vytvořit aparaturu pracující na analogickém principu a ale s definovanou dobou otevření ventilu.
Velice efektivním řešením tohoto problému je využít vlastností harmonických kmitů a uzávěr (píst) uvést do dynamické rovnováhy s protékajícím vzduchem.
Pro takto zkonstruovanou aparaturu založenou na kmitajícím pístu lze odvodit vztah pro Poissonovu konstantu jako
\begin{displaymath} \kappa=\frac{4mV}{T^2 pr^4} \end{displaymath}
\section{Postup měření}
\subsection{Měření dutých objemů}
Dostali jsme za úkol změřit objem jisté zhruba jednolitrové lahve. Lahev jsme proto připojili j plynové byretě a definovanou kompresí několika desítek $cm^3$ vzduchu jsme změřili její objem. Který i s přívodní hadičkou od byrety činil 1141,78 $cm^3$. K odečtení objemu hadičky byla využita stejná metoda s tím rozdílem, že jsme odpojili flašku a hadičku zašpuntovali.. Naměřili jsme tak objem hadičky 71,16 $cm^3$ po vzájemném odečtení těchto dvou objemů je výsledný objem lahve 1,07363 litru.
Druhou metodou kterou jsme vyzkoušeli bylo zvážení prázdné lahve (0,56 kg) a po jejím naplnění vodou o téže teplotě (25 $^\circ C)$ její opětovné zvážení (1,58 kg) protože známe hustotu vody při této teplotě 995,72 $kg/m^3$. Můžeme spočítat objem lahve 1,02438 litru.
\subsection{Měření Poissonovy konstanty plynu}
Během měření Poissonovy konstanty Clement-Desormesovo metodou jsme se snažili o maximální zkrácení času otevření ventilu, po krátkém tréninku bylo jasné, že nemá smysl dobu otevření snižovat pod mez zhruba 70ms neboť se nestačí dostatečně vyrovnat tlak v aparatuře s atmosférickým tlakem.
Uvedené výsledky jsou proto nad touto hranicí. Průměr z naměřených hodnot je $1,40 \pm 0,02$
\begin{table}[htbp]
\caption{Naměřené hodnoty Poissonovy konstanty Clement-Desormesovo metodou}
\begin{center}
\begin{tabular}{|c|c|c|c|c|}
\hline
h1 [mm] & t[ms] & h2 [mm] & t[ms] & $ \kappa $ \\ \hline
31,5 & 88 & 9,10 & 88 & 1,41 \\ \hline
31,2 & 85 & 9,00 & 85 & 1,41 \\ \hline
31,4 & 103 & 9,20 & 103 & 1,41 \\ \hline
31,2 & 130 & 8,70 & 130 & 1,39 \\ \hline
31,4 & 138 & 8,50 & 138 & 1,37 \\ \hline
\end{tabular}
\end{center}
\label{Clement-Desormes}
\end{table}
V celém průběhu měření jsme paralelně měřili Poissonovu konstantu i pomocí kmitajícího pístu. A tabulka \ref{Kmit} udává naměřená i vypočtená data, jako objem baňky jsme zvolili asistentem doporučený objem $0,001067 m^3$ jelikož ho nebylo možné změřit žádným z v návodu \cite{objemy} popsaných postupů. Průměrnou změřenou hodnotou je $1,29 \pm 0,03 $. Ostatní konstanty potřebné pro výpočet jsou převzaté z návodu k úloze.
\begin{table}[htbp]
\caption{Pocty period pistu v pěti minutovém měřícím intervalu a vypočtená hodnota Poissovnovy konstanty}
\begin{center}
\begin{tabular}{|c|c|}
\hline
period & $\kappa$ \\ \hline
859 & 1,27 \\ \hline
862 & 1,28 \\ \hline
865 & 1,29 \\ \hline
863 & 1,29 \\ \hline
864 & 1,29 \\ \hline
865 & 1,29 \\ \hline
866 & 1,29 \\ \hline
867 & 1,30 \\ \hline
858 & 1,27 \\ \hline
862 & 1,28 \\ \hline
866 & 1,29 \\ \hline
870 & 1,31 \\ \hline
872 & 1,31 \\ \hline
\end{tabular}
\end{center}
\label{Kmit}
\end{table}
\section{Diskuse}
Z výsledků naměřených v chronologickém pořadí lze vypozorovat mírnou stabilní variaci v průběhu měření. Tento jev by mohl být způsoben buď změnou vlastností aparatury, nebo skutečně změnou složení vzduchu. Nejpravděpodobnější asi bude kombinace obou těchto jevů. Kdy při měření metodou kmitajícího pístu může docházet k mírným změnám v průtoku vzduchu a navíc i doby po které čítač počítá kmity válečku nemusí být úplně časově ekvidistantní. Zřejmé také je, že v místnosti, která není příliš větraná se pohybuje značné množství lidí kteří souhrnně obohacují vzduch o víceatomové molekuly..
\section{Závěr}
Závěrem lze říci že hodnota Poissonovy konstanty vzduchu za běžných podmínek leží někde okolo hodnoty 1,35. Což je v souladu s předpokladem, že vzduch obsahuje převážně dvou nebo více atomové plyny.
\begin{thebibliography}{99}
\bibitem{objemy}{Měření dutých objemů vážením a kompresí plynu} \href{http://praktika.fjfi.cvut.cz/objemy/}{http://praktika.fjfi.cvut.cz/objemy/}
\end{thebibliography}
\end{document}

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%%EndFont
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 32 /parenleftBigg put
dup 33 /parenrightBigg put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 14 /openbullet put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 49 /one put
dup 50 /two put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 39 /similarequal put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 86 /V put
dup 97 /a put
dup 107 /k put
dup 114 /r put
dup 117 /u put
dup 118 /v put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 13 /gamma put
dup 20 /kappa put
dup 58 /period put
dup 59 /comma put
dup 64 /partialdiff put
dup 67 /C put
dup 84 /T put
dup 98 /b put
dup 99 /c put
dup 104 /h put
dup 108 /l put
dup 109 /m put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 116 /t put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 1 /Delta put
dup 12 /fi put
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 23 /ring put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 64 /at put
dup 67 /C put
dup 68 /D put
dup 72 /H put
dup 74 /J put
dup 75 /K put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 39 /quoteright put
dup 45 /hyphen put
dup 46 /period put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 107 /k put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR17
%!PS-AdobeFont-1.1: CMR17 1.0
%%CreationDate: 1991 Aug 20 16:38:24
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR17) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR17 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 19 /acute put
dup 20 /caron put
dup 39 /quoteright put
dup 75 /K put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 101 /e put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
readonly def
/FontBBox{-33 -250 945 749}readonly def
currentdict end
currentfile eexec
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/dokumenty/skolni/PRA1/5-Teplomer/teplomer.tex
0,0 → 1,111
\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Kalibrace rtuťového teploměru plynovým teploměrem}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{30.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Zkalibrovali jsme rtuťový teploměr pomocí plynového teploměru. Získané hodnoty jsme zároveň použili k určení součinitele rozpínavosti vzduchu.
\end{abstract}
\section{Pracovní úkoly}
\begin{enumerate}
\item Ocejchujte rtuťový teploměr pomocí plynového teploměru a nakreslete příslušný graf.
\item Vypočítejte součinitele rozpínavosti plynů $\gamma $ a proveďte kontrolu pomocí teploty absolutní nuly.
\item Určete tepelnou kapacitu kalorimetru (Dewarovy nádoby), který použijete při určování měrného skupenského tepla varu vody. Sestrojte z naměřených hodnot graf závislosti teploty lázně na čase. Posuďte, zda tento postup je pro daný kalorimetr nutný.
\item Určete měrné skupenské teplo varu vody s ohledem na množství předčasně zkondenzované páry $m_{v}$.
\end{enumerate}
\section{Úvod}
Teplota varu vody je dána výrazem
\begin{equation}
t_{varu} = 100,000 + 0,03687 (b - 760) - 0,000 022 (b - 760)^{2} [ ^\circ C, Torr].
\end{equation}
Následně pak dokážeme určit i teplotu na plynovém teploměru.
\begin{equation}
t = t_{varu}\frac{\Delta h}{\Delta h_{varu}}.
\end{equation}
Hodnoty můžeme také využít k dopočítání rozpínavosti vzduchu
\begin{equation}
\gamma = \frac{1}{p}\left( \frac{\partial }{\partial T} \right)_{V} \simeq \frac{\Delta p}{p} \frac{1}{\Delta T}.
\end{equation} což můžeme přepsat na
\begin{equation} \gamma = \frac{\Delta h}{b\cdot t}, \label{egamma}\end{equation}
kde b je atmosfericky tlak v Torrech.
Při měření skupenského tepla varu vody využijeme kalorimetrickou rovnici.
\begin{equation}
(m-m_{v})l_{v}+mc(t_{varu} -t)+(m_kc+\kappa)(t_{0}-t)=0,
\end{equation} kde $c$ je měrná tepelná kapacita vody. Měrné skupenské teplo varu pak vyjádříme jako
\begin{equation}
l_{v}=\frac{(m_{k}+\kappa)(t-t_{0})-mc(t_{varu}-t) }{m-m_{v}}. \label{elv}
\end{equation}
Chybí nám ale tepelná kapacita kalorimetru, kterou musíme změřit. K tomu nám pomůže jiná kalorimetrická rovnice
\begin{equation}
(m_{1}c+\kappa)(t_{1}-t)+m_{2}c(t_{2}-t)=0,
\end{equation} ze které vyjádříme kapacitu kalorimetru.
\begin{equation}
\kappa = \frac{m_{2}c(t-t_{2})}{(t_{1}-t)}-m_{1}c. \label{ekappa}
\end{equation}
\section{Postup měření}
\subsection{Kalibrace rtuťového teploměru plynovým teploměrem}
Nejdříve jsme měřící bańku plynového teploměru ochladili při atmosférickém tlaku uvnitř, po vyrovnání teplot jsme uzavřeli ventil spojující vnitřní objem teploměru s vnější atmosférou a začali postupně zvyšovat teplotu lázně zhruba po 10 $^\circ C$. Vždy při odečítání hodnot ale bylo nutné udržovat konstantní objem plynu v teploměru což bylo zařízeno udržováním hladiny rtuti v otevřeném manometru na špičce skleněného hrotu.
Během měření byl atmosférický tlak $b = (743,6 \pm 0,1) Torr$ . Naměřenou závislost jsme vynesli do grafu \ref{korekce}. A tím zjistili směrnici přímky $a = (2,5 \pm 0,05) m/^\circ C$ a spočítali tak i rozpínavost vzduchu $a = (3,48 \pm 0,07)10^{-3} /K$.
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
$h_l [mm]$ & $t_s [^\circ C]$ & $\Delta h [mm]$ & $t_m [^\circ C]$ & $\Delta t [^\circ C]$ & $\delta_t [\%]$ \\ \hline
138 & 0,0 & 0 & 0,0 & 0 & 0 \\ \hline
167 & 11,2 & 29 & 12,1 & -0,86 & 7,13 \\ \hline
202 & 24,2 & 64 & 26,6 & -2,41 & 9,07 \\ \hline
218 & 30,1 & 80 & 33,3 & -3,17 & 9,52 \\ \hline
257 & 43,2 & 119 & 49,5 & -6,29 & 12,7 \\ \hline
303 & 62,2 & 165 & 68,6 & -6,42 & 9,35 \\ \hline
329 & 72,0 & 191 & 79,4 & -7,43 & 9,35 \\ \hline
342 & 87,2 & 204 & 84,8 & 2,37 & 2,79 \\ \hline
377 & 99,39 & 239 & 99,39 & 0 & 0 \\ \hline
\end{tabular}
\end{center}
\caption{Kalibrace rtutového teploměru plynovým teploměrem}
\label{kalibrace}
\end{table}
\begin{figure}
\begin{center}
\includegraphics [width=150mm] {teplomer_char.pdf}
\end{center}
\caption{Hodnoty naměřené na plynovém a rtuťovém teploměru}
\label{korekce}
\end{figure}
\subsection{Měření měrného skupenského tepla varu vody}\
K tomuto měření bylo třeba nejdříve změřit tepelnou kapacitu kalorimetru, použili jsme v návodu doporučenou metodu a kapacita nám vyšla $\kappa = (90 \pm 7) J/kg K$. S touto znalostí, jsme pak již nechali ohřívat vodní náplň v kalorimetru párou probublávající z kotlíku s vroucí vodou. Po změření rozdílu teplot a zvážení zkondenzované vody jsme pak mohli určit měrné skupenské teplo varu vodu jako $l_v = (2,6 \pm 0,3) MJ/kg$.
\section{Diskuse}
V návodu k úloze \cite{var_vody} je doporučen postup měření tepelné kapacity kalorimetru využívající časovou závislost vývoje teploty. Vzhledem k našim podmínkám je ale tento postup zbytečně přesný (Máme dobře izolovaný kalorimetr).
\section{Závěr}
Součinitel rozpínavosti plynů jsme určili s relativní chybou 4,9 \% vzhledem k tabulkové hodnotě. A měrné skupenské teplo varu vody jsme proti tabulkové hodnotě $l_v = 2,257 MJ/kg$ určili s chybou 15\%.
\begin{thebibliography}{99}
\bibitem{var_vody}{Zadání úlohy 5 - Měření měrného skupenského tepla varu vody}. \href{http://praktika.fjfi.cvut.cz/SkupTepVaru/}{http://praktika.fjfi.cvut.cz/SkupTepVaru/}
\end{thebibliography}
\end{document}

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#fituje harmonicke oscilace. vysledek ulozi ve formatu PostScript
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set key off # vypne legendu v grafu
set xlabel "time [s]"
set ylabel "amplitude [1]"
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#prevod Postscriptu do PDF nutno mit nainstalovany program ps2pdf.
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/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
%%Page: 1 1
gnudict begin
gsave
50 50 translate
0.100 0.100 scale
90 rotate
0 -5040 translate
0 setgray
newpath
(Helvetica) findfont 140 scalefont setfont
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LTb
938 448 M
63 0 V
5989 0 R
-63 0 V
854 448 M
( 1400) Rshow
1.000 UL
LTb
938 850 M
63 0 V
5989 0 R
-63 0 V
854 850 M
( 1500) Rshow
1.000 UL
LTb
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63 0 V
5989 0 R
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-6073 0 R
( 1600) Rshow
1.000 UL
LTb
938 1655 M
63 0 V
5989 0 R
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( 1700) Rshow
1.000 UL
LTb
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63 0 V
5989 0 R
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( 1800) Rshow
1.000 UL
LTb
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63 0 V
5989 0 R
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( 1900) Rshow
1.000 UL
LTb
938 2861 M
63 0 V
5989 0 R
-63 0 V
-6073 0 R
( 2000) Rshow
1.000 UL
LTb
938 3263 M
63 0 V
5989 0 R
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( 2100) Rshow
1.000 UL
LTb
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63 0 V
5989 0 R
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-6073 0 R
( 2200) Rshow
1.000 UL
LTb
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63 0 V
5989 0 R
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( 2300) Rshow
1.000 UL
LTb
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63 0 V
5989 0 R
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( 2400) Rshow
1.000 UL
LTb
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63 0 V
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LTb
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LTb
1947 448 M
0 63 V
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0 -4501 R
( 2) Cshow
1.000 UL
LTb
2955 448 M
0 63 V
0 4361 R
0 -63 V
0 -4501 R
( 4) Cshow
1.000 UL
LTb
3964 448 M
0 63 V
0 4361 R
0 -63 V
0 -4501 R
( 6) Cshow
1.000 UL
LTb
4973 448 M
0 63 V
0 4361 R
0 -63 V
0 -4501 R
( 8) Cshow
1.000 UL
LTb
5981 448 M
0 63 V
0 4361 R
0 -63 V
0 -4501 R
( 10) Cshow
1.000 UL
LTb
6990 448 M
0 63 V
0 4361 R
0 -63 V
0 -4501 R
( 12) Cshow
1.000 UL
LTb
1.000 UL
LTb
938 4872 N
938 448 L
6052 0 V
0 4424 V
-6052 0 V
Z stroke
LCb setrgbcolor
280 2660 M
currentpoint gsave translate 90 rotate 0 0 M
(amplitude [1]) Cshow
grestore
LTb
LCb setrgbcolor
3964 98 M
(time [s]) Cshow
LTb
1.000 UP
1.000 UL
LTb
1.000 UL
LT0
/Helvetica findfont 140 scalefont setfont
938 671 M
3 -50 V
3 -37 V
3 -22 V
2 -7 V
3 7 V
3 22 V
3 36 V
3 51 V
3 64 V
3 77 V
3 90 V
2 103 V
3 113 V
3 124 V
3 133 V
3 142 V
3 149 V
3 155 V
2 160 V
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3 167 V
3 168 V
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3 167 V
3 165 V
3 162 V
2 157 V
3 151 V
3 143 V
3 136 V
3 127 V
3 116 V
3 106 V
2 94 V
3 81 V
3 69 V
3 55 V
3 41 V
3 27 V
3 13 V
3 -2 V
2 -16 V
3 -31 V
3 -45 V
3 -58 V
3 -72 V
3 -84 V
3 -96 V
2 -108 V
3 -118 V
3 -128 V
3 -137 V
3 -144 V
3 -151 V
3 -157 V
3 -160 V
2 -164 V
3 -166 V
3 -166 V
3 -165 V
3 -164 V
3 -161 V
3 -156 V
2 -151 V
3 -144 V
3 -137 V
3 -128 V
3 -119 V
3 -108 V
3 -97 V
3 -85 V
2 -72 V
3 -59 V
3 -46 V
3 -32 V
3 -17 V
3 -4 V
3 11 V
2 25 V
3 39 V
3 52 V
3 66 V
3 79 V
3 90 V
3 103 V
3 113 V
2 122 V
3 132 V
3 139 V
3 147 V
3 152 V
3 157 V
3 160 V
2 163 V
3 164 V
3 163 V
3 162 V
3 160 V
3 156 V
3 151 V
3 145 V
2 137 V
3 130 V
3 120 V
stroke 1236 3850 M
3 111 V
3 99 V
3 88 V
3 76 V
2 63 V
3 50 V
3 37 V
3 22 V
3 9 V
3 -6 V
3 -19 V
3 -34 V
2 -47 V
3 -60 V
3 -73 V
3 -85 V
3 -96 V
3 -108 V
3 -117 V
2 -127 V
3 -135 V
3 -142 V
3 -148 V
3 -153 V
3 -157 V
3 -159 V
3 -161 V
2 -162 V
3 -160 V
3 -158 V
3 -155 V
3 -151 V
3 -145 V
3 -138 V
2 -131 V
3 -122 V
3 -113 V
3 -102 V
3 -91 V
3 -79 V
3 -67 V
3 -54 V
2 -41 V
3 -27 V
3 -14 V
3 1 V
3 14 V
3 28 V
3 41 V
2 55 V
3 67 V
3 79 V
3 91 V
3 103 V
3 112 V
3 121 V
3 130 V
2 138 V
3 144 V
3 149 V
3 153 V
3 156 V
3 159 V
3 159 V
2 158 V
3 157 V
3 154 V
3 151 V
3 145 V
3 139 V
3 131 V
3 124 V
2 114 V
3 105 V
3 94 V
3 82 V
3 71 V
3 57 V
3 45 V
2 32 V
3 18 V
3 5 V
3 -9 V
3 -22 V
3 -36 V
3 -49 V
3 -62 V
2 -74 V
3 -86 V
3 -96 V
3 -107 V
3 -117 V
3 -125 V
3 -133 V
2 -139 V
3 -145 V
3 -150 V
3 -153 V
3 -156 V
3 -156 V
3 -157 V
3 -155 V
2 -153 V
3 -150 V
stroke 1534 1920 M
3 -145 V
3 -139 V
3 -133 V
3 -124 V
3 -117 V
2 -106 V
3 -97 V
3 -85 V
3 -74 V
3 -62 V
3 -49 V
3 -36 V
3 -23 V
2 -9 V
3 4 V
3 17 V
3 30 V
3 44 V
3 56 V
3 69 V
2 80 V
3 91 V
3 102 V
3 112 V
3 120 V
3 128 V
3 135 V
3 142 V
2 146 V
3 149 V
3 153 V
3 154 V
3 154 V
3 154 V
3 152 V
2 149 V
3 144 V
3 140 V
3 133 V
3 126 V
3 117 V
3 109 V
3 99 V
2 88 V
3 77 V
3 65 V
3 53 V
3 41 V
3 27 V
3 14 V
3 1 V
2 -12 V
3 -25 V
3 -38 V
3 -51 V
3 -64 V
3 -74 V
3 -87 V
2 -96 V
3 -107 V
3 -115 V
3 -124 V
3 -130 V
3 -138 V
3 -142 V
3 -146 V
2 -150 V
3 -151 V
3 -152 V
3 -152 V
3 -150 V
3 -148 V
3 -144 V
2 -140 V
3 -133 V
3 -127 V
3 -119 V
3 -111 V
3 -101 V
3 -91 V
3 -80 V
2 -68 V
3 -57 V
3 -44 V
3 -32 V
3 -19 V
3 -6 V
3 8 V
2 20 V
3 33 V
3 46 V
3 57 V
3 70 V
3 81 V
3 91 V
3 102 V
2 110 V
3 119 V
3 127 V
3 133 V
3 138 V
3 143 V
3 146 V
2 149 V
stroke 1832 2345 M
3 150 V
3 150 V
3 149 V
3 146 V
3 144 V
3 139 V
3 134 V
2 127 V
3 120 V
3 113 V
3 103 V
3 93 V
3 83 V
3 72 V
2 60 V
3 48 V
3 36 V
3 23 V
3 11 V
3 -3 V
3 -15 V
3 -28 V
2 -40 V
3 -53 V
3 -65 V
3 -75 V
3 -87 V
3 -96 V
3 -106 V
2 -114 V
3 -122 V
3 -129 V
3 -134 V
3 -140 V
3 -143 V
3 -145 V
3 -148 V
2 -148 V
3 -147 V
3 -145 V
3 -143 V
3 -139 V
3 -134 V
3 -128 V
2 -121 V
3 -113 V
3 -105 V
3 -96 V
3 -85 V
3 -75 V
3 -64 V
3 -52 V
2 -40 V
3 -27 V
3 -15 V
3 -2 V
3 10 V
3 23 V
3 35 V
2 48 V
3 59 V
3 71 V
3 81 V
3 91 V
3 101 V
3 110 V
3 118 V
2 124 V
3 131 V
3 135 V
3 140 V
3 143 V
3 145 V
3 145 V
2 146 V
3 144 V
3 141 V
3 139 V
3 134 V
3 128 V
3 122 V
3 115 V
2 106 V
3 98 V
3 88 V
3 78 V
3 67 V
3 55 V
3 44 V
2 31 V
3 20 V
3 6 V
3 -5 V
3 -18 V
3 -31 V
3 -42 V
3 -54 V
2 -66 V
3 -76 V
3 -87 V
3 -96 V
3 -105 V
3 -113 V
3 -120 V
stroke 2131 3383 M
2 -127 V
3 -132 V
3 -136 V
3 -140 V
3 -142 V
3 -143 V
3 -144 V
3 -142 V
2 -141 V
3 -138 V
3 -133 V
3 -129 V
3 -123 V
3 -115 V
3 -108 V
2 -100 V
3 -90 V
3 -81 V
3 -69 V
3 -59 V
3 -48 V
3 -35 V
3 -24 V
2 -11 V
3 1 V
3 14 V
3 25 V
3 38 V
3 49 V
3 60 V
2 72 V
3 81 V
3 92 V
3 100 V
3 108 V
3 117 V
3 122 V
3 128 V
2 133 V
3 137 V
3 139 V
3 141 V
3 141 V
3 141 V
3 140 V
2 137 V
3 133 V
3 129 V
3 123 V
3 117 V
3 109 V
3 101 V
3 93 V
2 82 V
3 73 V
3 62 V
3 51 V
3 39 V
3 28 V
3 15 V
2 4 V
3 -9 V
3 -21 V
3 -32 V
3 -45 V
3 -55 V
3 -67 V
3 -76 V
2 -87 V
3 -96 V
3 -104 V
3 -112 V
3 -118 V
3 -125 V
3 -129 V
2 -133 V
3 -137 V
3 -138 V
3 -139 V
3 -140 V
3 -138 V
3 -136 V
3 -132 V
2 -129 V
3 -123 V
3 -118 V
3 -110 V
3 -103 V
3 -95 V
3 -85 V
2 -75 V
3 -65 V
3 -54 V
3 -43 V
3 -32 V
3 -19 V
3 -8 V
3 4 V
2 16 V
3 28 V
3 40 V
3 50 V
3 62 V
3 72 V
stroke 2429 1192 M
3 82 V
2 91 V
3 99 V
3 108 V
3 114 V
3 121 V
3 126 V
3 130 V
3 133 V
2 136 V
3 137 V
3 137 V
3 137 V
3 135 V
3 132 V
3 128 V
2 124 V
3 118 V
3 111 V
3 105 V
3 96 V
3 87 V
3 78 V
3 68 V
2 57 V
3 47 V
3 35 V
3 24 V
3 11 V
3 1 V
3 -12 V
2 -23 V
3 -35 V
3 -46 V
3 -57 V
3 -67 V
3 -77 V
3 -86 V
3 -96 V
2 -103 V
3 -110 V
3 -117 V
3 -122 V
3 -127 V
3 -130 V
3 -133 V
2 -135 V
3 -135 V
3 -135 V
3 -134 V
3 -131 V
3 -128 V
3 -124 V
3 -118 V
2 -113 V
3 -105 V
3 -98 V
3 -89 V
3 -80 V
3 -71 V
3 -60 V
2 -50 V
3 -39 V
3 -27 V
3 -16 V
3 -5 V
3 7 V
3 19 V
3 30 V
2 41 V
3 52 V
3 63 V
3 72 V
3 82 V
3 91 V
3 99 V
2 106 V
3 113 V
3 118 V
3 124 V
3 127 V
3 130 V
3 133 V
3 133 V
2 133 V
3 133 V
3 130 V
3 127 V
3 124 V
3 118 V
3 114 V
2 106 V
3 99 V
3 91 V
3 83 V
3 73 V
3 63 V
3 53 V
3 42 V
2 32 V
3 20 V
3 8 V
3 -3 V
3 -14 V
stroke 2727 4038 M
3 -26 V
3 -36 V
2 -48 V
3 -58 V
3 -67 V
3 -78 V
3 -86 V
3 -95 V
3 -102 V
3 -109 V
2 -114 V
3 -120 V
3 -125 V
3 -127 V
3 -130 V
3 -131 V
3 -131 V
2 -131 V
3 -129 V
3 -127 V
3 -123 V
3 -119 V
3 -114 V
3 -107 V
3 -101 V
2 -92 V
3 -85 V
3 -75 V
3 -66 V
3 -56 V
3 -46 V
3 -35 V
2 -23 V
3 -13 V
3 -1 V
3 10 V
3 21 V
3 32 V
3 43 V
3 53 V
2 64 V
3 72 V
3 82 V
3 91 V
3 98 V
3 104 V
3 112 V
2 116 V
3 121 V
3 124 V
3 127 V
3 129 V
3 130 V
3 129 V
3 128 V
2 126 V
3 123 V
3 119 V
3 114 V
3 108 V
3 101 V
3 95 V
2 86 V
3 78 V
3 68 V
3 59 V
3 49 V
3 38 V
3 27 V
3 17 V
2 5 V
3 -6 V
3 -16 V
3 -28 V
3 -38 V
3 -49 V
3 -59 V
2 -69 V
3 -77 V
3 -86 V
3 -94 V
3 -101 V
3 -107 V
3 -113 V
3 -118 V
2 -121 V
3 -125 V
3 -126 V
3 -127 V
3 -128 V
3 -127 V
3 -125 V
2 -122 V
3 -119 V
3 -114 V
3 -109 V
3 -102 V
3 -96 V
3 -88 V
3 -80 V
2 -71 V
3 -61 V
3 -52 V
3 -41 V
stroke 3025 1116 M
3 -31 V
3 -20 V
3 -10 V
2 2 V
3 12 V
3 24 V
3 34 V
3 44 V
3 55 V
3 64 V
3 73 V
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3 97 V
3 104 V
3 109 V
3 114 V
3 119 V
3 121 V
2 124 V
3 126 V
3 126 V
3 125 V
3 124 V
3 121 V
3 119 V
2 114 V
3 109 V
3 104 V
3 96 V
3 90 V
3 82 V
3 73 V
3 64 V
2 54 V
3 45 V
3 34 V
3 24 V
3 13 V
3 3 V
3 -9 V
2 -19 V
3 -29 V
3 -40 V
3 -51 V
3 -59 V
3 -69 V
3 -78 V
3 -85 V
2 -93 V
3 -100 V
3 -106 V
3 -111 V
3 -115 V
3 -119 V
3 -121 V
2 -123 V
3 -124 V
3 -124 V
3 -123 V
3 -120 V
3 -118 V
3 -114 V
3 -110 V
2 -104 V
3 -98 V
3 -91 V
3 -83 V
3 -76 V
3 -66 V
3 -57 V
2 -48 V
3 -38 V
3 -27 V
3 -17 V
3 -6 V
3 4 V
3 15 V
3 26 V
2 36 V
3 45 V
3 56 V
3 64 V
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3 81 V
3 89 V
2 96 V
3 102 V
3 108 V
3 112 V
3 116 V
3 119 V
3 120 V
3 122 V
2 122 V
3 122 V
3 120 V
3 117 V
3 114 V
3 110 V
3 104 V
2 99 V
3 92 V
3 85 V
stroke 3323 3567 M
3 78 V
3 68 V
3 60 V
3 51 V
3 40 V
2 31 V
3 20 V
3 10 V
3 0 V
3 -11 V
3 -21 V
3 -32 V
2 -41 V
3 -51 V
3 -61 V
3 -69 V
3 -77 V
3 -85 V
3 -93 V
3 -98 V
2 -104 V
3 -109 V
3 -113 V
3 -116 V
3 -119 V
3 -120 V
3 -120 V
2 -120 V
3 -119 V
3 -116 V
3 -114 V
3 -110 V
3 -105 V
3 -99 V
3 -94 V
2 -86 V
3 -79 V
3 -71 V
3 -62 V
3 -53 V
3 -44 V
3 -34 V
2 -24 V
3 -13 V
3 -4 V
3 7 V
3 18 V
3 27 V
3 37 V
3 47 V
2 56 V
3 65 V
3 74 V
3 81 V
3 88 V
3 95 V
3 101 V
2 105 V
3 110 V
3 114 V
3 116 V
3 117 V
3 119 V
3 118 V
3 118 V
2 116 V
3 113 V
3 110 V
3 105 V
3 100 V
3 94 V
3 88 V
2 81 V
3 73 V
3 64 V
3 56 V
3 46 V
3 37 V
3 27 V
3 18 V
2 7 V
3 -4 V
3 -13 V
3 -23 V
3 -33 V
3 -43 V
3 -52 V
2 -61 V
3 -69 V
3 -78 V
3 -84 V
3 -91 V
3 -98 V
3 -102 V
3 -107 V
2 -110 V
3 -114 V
3 -115 V
3 -117 V
3 -117 V
3 -116 V
3 -115 V
2 -113 V
3 -109 V
stroke 3621 2002 M
3 -105 V
3 -101 V
3 -95 V
3 -89 V
3 -82 V
3 -75 V
2 -67 V
3 -58 V
3 -49 V
3 -40 V
3 -30 V
3 -21 V
3 -10 V
2 -1 V
3 10 V
3 19 V
3 29 V
3 39 V
3 48 V
3 57 V
3 65 V
2 73 V
3 81 V
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3 93 V
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3 108 V
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3 113 V
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3 115 V
3 113 V
3 112 V
3 109 V
2 106 V
3 101 V
3 96 V
3 90 V
3 83 V
3 76 V
3 69 V
2 60 V
3 52 V
3 43 V
3 33 V
3 24 V
3 14 V
3 4 V
3 -5 V
2 -16 V
3 -25 V
3 -35 V
3 -44 V
3 -53 V
3 -61 V
3 -69 V
2 -77 V
3 -84 V
3 -90 V
3 -96 V
3 -101 V
3 -105 V
3 -108 V
3 -111 V
2 -112 V
3 -114 V
3 -113 V
3 -113 V
3 -111 V
3 -108 V
3 -105 V
2 -102 V
3 -96 V
3 -91 V
3 -85 V
3 -78 V
3 -70 V
3 -63 V
3 -54 V
2 -45 V
3 -37 V
3 -26 V
3 -18 V
3 -8 V
3 2 V
3 12 V
2 22 V
3 30 V
3 40 V
3 49 V
3 58 V
3 65 V
3 73 V
3 81 V
2 86 V
3 93 V
3 97 V
3 102 V
3 106 V
3 108 V
3 110 V
2 112 V
stroke 3919 2463 M
3 112 V
3 111 V
3 110 V
3 108 V
3 105 V
3 101 V
3 97 V
2 92 V
3 86 V
3 79 V
3 72 V
3 65 V
3 56 V
3 48 V
2 39 V
3 30 V
3 21 V
3 11 V
3 2 V
3 -8 V
3 -18 V
3 -27 V
2 -36 V
3 -45 V
3 -54 V
3 -61 V
3 -70 V
3 -76 V
3 -83 V
2 -90 V
3 -94 V
3 -99 V
3 -103 V
3 -105 V
3 -109 V
3 -109 V
3 -110 V
2 -110 V
3 -109 V
3 -108 V
3 -104 V
3 -102 V
3 -97 V
3 -92 V
2 -87 V
3 -80 V
3 -74 V
3 -66 V
3 -59 V
3 -51 V
3 -41 V
3 -33 V
2 -24 V
3 -14 V
3 -5 V
3 4 V
3 14 V
3 23 V
3 33 V
2 41 V
3 49 V
3 58 V
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3 73 V
3 80 V
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3 91 V
2 96 V
3 100 V
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3 108 V
3 108 V
3 109 V
2 108 V
3 106 V
3 104 V
3 102 V
3 97 V
3 93 V
3 87 V
3 82 V
2 75 V
3 68 V
3 61 V
3 53 V
3 44 V
3 36 V
3 26 V
2 18 V
3 8 V
3 -1 V
3 -10 V
3 -20 V
3 -28 V
3 -37 V
3 -46 V
2 -55 V
3 -62 V
3 -69 V
3 -76 V
3 -82 V
3 -88 V
3 -93 V
stroke 4218 3103 M
2 -97 V
3 -101 V
3 -103 V
3 -106 V
3 -106 V
3 -107 V
3 -107 V
3 -106 V
2 -103 V
3 -101 V
3 -97 V
3 -93 V
3 -89 V
3 -82 V
3 -77 V
2 -70 V
3 -62 V
3 -55 V
3 -47 V
3 -38 V
3 -30 V
3 -20 V
3 -12 V
2 -2 V
3 6 V
3 16 V
3 25 V
3 34 V
3 42 V
3 51 V
2 58 V
3 65 V
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stroke 4516 1569 M
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stroke 4814 3641 M
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stroke 5112 1457 M
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stroke 5410 3340 M
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stroke 5708 2082 M
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stroke 6007 2532 M
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stroke 6305 2908 M
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stroke 6603 1842 M
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1.000 UP
stroke
LT1
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stroke 4667 2980 M
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3 0 V
2 -1 V
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stroke 4954 3028 M
3 -5 V
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stroke 5241 2985 M
2 4 V
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stroke 5527 2883 M
3 10 V
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stroke 5814 2762 M
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3 2 V
3 1 V
2 0 V
3 0 V
3 -1 V
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stroke 6101 2658 M
3 10 V
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2 1 V
3 1 V
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stroke 6388 2591 M
3 7 V
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1.000 UP
stroke
LT1
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/dokumenty/skolni/PRA1/10-Oscilace/oscilace.pdf
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\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\usepackage{lmodern}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Harmonické oscilátory}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Tato úloha se zabývá měřením rezonančních vlastností mechanických tlumených i netlumených oscilátorů.
\end{abstract}
\section{Úvod}
\begin{enumerate}
\item Změřte tuhost pružiny statickou metodou a vypočtěte úhlovou frekvenci (včetně celkové chyby určení), se kterou bude soustava kmitat kolem rovnovážné polohy s Vámi zvoleným závažím. Odhadněte, s jakou chybou jste schopen prodloužení pružiny měřit a vypočtěte minimální hmotnost závaží, které musíte k prodloužení použit, aby jste dosáhl relativní chyby měření tuhosti pružiny 50\%. Chybu měření hmotnosti závaží $\Delta m$ považujte za nulovou.
\item Změřte úhlovou frekvenci kmitů pružiny dynamickou metodou. Rozhodněte, jestli pro výpočet úhlové frekvence je nutné použít vztah
\begin{eqnarray}\omega=\sqrt{\omega_{0}^2 - \delta^2}, \end{eqnarray}
tj. jestli je útlum tak velký, že překonává chybu měření.
\item Změřte koeficienty tlumení $\delta$ pro 2 konfigurace tlumících magnetů. Ověřte přiton platnost vztahu (1).
\item Naměřte závislost amplitudy a fázového posunu kmitů pružiny oproti budící síle na úhlové frekvenci budící síly.
\item Závislost amplitudy A kmitů na úhlové frekvenci budící síly $\Omega$ vyneste do grafu, nafitujte tuto závislost funkcí
\begin{equation}A=\sqrt{\omega_{0}^2 - \delta^2}, \end{equation}
z této funkce pak určete vlastní frekvenci $\omega_0$ a útlum $\delta$ a určete pomocí vztahu
\begin{equation}\omega_{REZ}=\sqrt{\omega_{0}^2 - 2\delta^2}, \end{equation}
hodnotu rezonanční frekvence $\Omega_{REZ}.$ Proč nelze použít měření rezonanční křivky k určení vlastní frekvence kriticky tlumených systémů?
\item Závislost fázového posunu kmitů pružiny $\theta$ na úhlové frekvenci budící síly $\omega$ vyneste do grafu, nafitujte tuto závislost funkcí
\begin{equation}\theta=arctan \left( \frac{\omega_{0}^2 - \Omega^2}{2\delta\Omega}\right). \end{equation}
Mějte na paměti, že tento vztah platí pro fázový posun v radiánech. Z nafitované funkce pak opět určete vlastní úhlovou frekvenci a útlum systému.
\item Srovnejte výsledky měření pro vlastní úhlovou frekvenci z úkolů 1,2,5 a 6. Které měření považujete za nejpřesnější a naopak?
\item Změřte tuhost pružiny Pohlova kyvadla.
\item Naměřte časový vývoj výchylky kmitů kyvadla pro netlumené kmity. Za použití výsledku tohoto a minulého úkolu vypočítejte moment setrvačnosti kyvadla I.
\item Změřte koeficient útlumu pro několik zvolených hodnot tlumícího proudu. Závislost vyneste do grafu.
\item Extrapolací určete hodnotu tlumícího proudu, při kterém dochází ke kritickému tlumení. Nastavte tuto hodnotu, změřte průběh při rychlostní a polohové počáteční podmínce a ověřte, že je kyvadlo skutečně kriticky tlumeno.
\end{enumerate}
\section{Postup měření}
\subsection{Gravitační oscilátor}
Nejdříve bylo nutné začít změřením tyhosti pružiny na laboratorním oscilátoru. Ten to úkol jsme vyřešili zavěšením dvou různých závaží na pružinu. První závaží mělo hmotnost 48,62g a pružinu natáhlo o 4cm druhé 87,6g o 7cm z těchto hodnot jsme určili tuhost pružiny 11,92 a 12,28 N/m.
Výpočtem pro případ zavěšeného měřítka a závaží 48,62g nám dále vyšla úhlová frekvence 15,21 rad/s. A při změření kmitů a jejich nafitování funkcí
\begin{equation}
x=A \exp (- \delta t) \sin(\omega t + \varphi)
\end{equation}
Nám vyšla úhlová frekvence $\omega = 15,18 [rad/s]$ Výsledek fitu je vidět na grafu. %\ref{oscilator}%.
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{osc2.pdf}
\end{center}
\label{oscilator}
\caption{Oscilace s $\omega = 15,18 [rad/s]$ koeficientem tlumení $\delta = 0,34 $ }
\end{figure}
Dále jsme chtěli změřit fázovou a amplitudovou charakteristiku kmitů. Data z tohoto měření jsou ale díky použité metodě snímaní kamerou poněkud nekvalitní a vyžadují náročnější zpracovaní, které jsem nestihl realizovat.
\subsection{Pohlovo Kyvadlo}
Nejdříve jsme změřili tuhost pružiny v kyvadle a podobným způsobem, jako v předešlém měření gravitačního oscilátoru. S tím rozdílem, že bylo použito jedno závaží o hmotnosti 40,3g ,které stočilo pružinu o 14,9 jednotek na kotouči kyvadla.
Následně jsmě změřili kmity pro netlumené kyvadlo a pro několik případů tlumení. Náš výsledek ilustrují následující grafy \ref{pohl_netlumeny}, \ref{Tlumeni_pohl700} a závislost tlumení na velikosti proudu v tlumících cívkách \ref{Tlumeni_pohl}
. Úkolem bylo také spočítat moment setrvačnosti ten při znalosti záteže a poloměru kyvadla 93,9 mm vychází na $3,4*10^{-4} kg/m^2$ .
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{pohl0.pdf}
\end{center}
\caption{Časový vývoj výchylky "netlumeného" Pohlova kyvadla}
\label{pohl_netlumeny}
\end{figure}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{pohl700.pdf}
\end{center}
\caption{Kmity tlumeného Pohlova kyvadla při proudu tlumící cívkou 700mA}
\label{Tlumeni_pohl700}
\end{figure}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{polh_tlum.pdf}
\end{center}
\caption{Závislost tlumení na velikosti proudu v tlumící cívce.}
\label{Tlumeni_pohl}
\end{figure}
\section{Diskuse}
Při měření bylo největším problémem zprovoznění snímací "kamery" od které není nikde ani běžně dostupný popis principu měření. Následkem toho nám sestavení experimentu trvalo neúměrně dlouho. A neprobihalo, tak jak jsme si predstavovali z pripravy.
\section*{Závěr}
Měření oscilací nepřineslo překvapivé výsledky které by nesouhlasily s analytickým popisem měřených soustav. A došlo tak jenom k jejich dalšímu potvrzení.
\begin{thebibliography}{99}
\bibitem{oscilace}{Zadání úlohy 10 - Harmonické oscilace}. \href{http://rumcajs.fjfi.cvut.cz/fyzport/Mechanika/HarmOscilator/osc.pdf}{http://rumcajs.fjfi.cvut.cz/fyzport/Mechanika/HarmOscilator/osc.pdf}.
\bibitem{pohl_kyv}{Pohlovo torzni kyvadlo}. \href{http://praktika.fjfi.cvut.cz/PohlKyv}{http://praktika.fjfi.cvut.cz/PohlKyv}
\end{thebibliography}
\end{document}

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set terminal postscript
set output "polh_tlum.ps"
set key off
set xlabel "current [mA]"
set ylabel "damping"
plot "polh_tlum.txt" using 1:2
!ps2pdf polh_tlum.ps

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%%Trailer
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%%Pages: 1

/dokumenty/skolni/PRA1/10-Oscilace/polh_tlum.txt
0,0 → 1,7
0 0.024406
200 0.0650315
400 0.180421
500 0.27215
600 0.361849
700 0.478981

/dokumenty/skolni/PRA1/10-Oscilace/fit_osc.log
0,0 → 1,162
*******************************************************************************
Mon Oct 19 18:14:52 2009
FIT: data read from "osc1.txt" using 1:2
#datapoints = 910
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 6.49811e+07 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 47.212
initial set of free parameter values
a = 500
d = 1
o = 14
fi = 3.14159
s = 1913
After 19 iterations the fit converged.
final sum of squares of residuals : 26827.4
rel. change during last iteration : -1.05602e-10
degrees of freedom (FIT_NDF) : 905
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 5.44459
variance of residuals (reduced chisquare) = WSSR/ndf : 29.6436
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 489.946 +/- 0.61 (0.1245%)
d = 0.0709031 +/- 0.00024 (0.3384%)
o = 15.197 +/- 0.0002411 (0.001587%)
fi = 4.36174 +/- 0.001261 (0.02891%)
s = 1915.7 +/- 0.1805 (0.009423%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d 0.805 1.000
o -0.030 -0.079 1.000
fi 0.029 0.068 -0.809 1.000
s 0.006 0.002 0.003 -0.011 1.000
*******************************************************************************
Mon Oct 19 18:14:55 2009
FIT: data read from "osc2.txt" using 1:2
#datapoints = 584
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 4.92433e+07 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 657.12
initial set of free parameter values
a = 500
d = 0.0709031
o = 14
fi = 3.14159
s = 1913
After 11 iterations the fit converged.
final sum of squares of residuals : 9688.48
rel. change during last iteration : -5.4149e-06
degrees of freedom (FIT_NDF) : 579
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 4.09061
variance of residuals (reduced chisquare) = WSSR/ndf : 16.7331
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 460.311 +/- 0.7981 (0.1734%)
d = 0.347439 +/- 0.000901 (0.2593%)
o = 15.1803 +/- 0.000883 (0.005817%)
fi = 2.90415 +/- 0.001677 (0.05776%)
s = 1912.33 +/- 0.1694 (0.008859%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d 0.731 1.000
o 0.012 -0.018 1.000
fi -0.026 -0.000 -0.720 1.000
s 0.034 0.020 -0.016 0.017 1.000
*******************************************************************************
Mon Oct 19 18:14:57 2009
FIT: data read from "osc3.txt" using 1:2
#datapoints = 761
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 4.62007e+07 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 184.034
initial set of free parameter values
a = 500
d = 0.347439
o = 14
fi = 3.14159
s = 1913
After 28 iterations the fit converged.
final sum of squares of residuals : 67103.4
rel. change during last iteration : -2.66436e-07
degrees of freedom (FIT_NDF) : 756
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 9.42131
variance of residuals (reduced chisquare) = WSSR/ndf : 88.7612
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 742.517 +/- 1.606 (0.2162%)
d = 0.276324 +/- 0.0008931 (0.3232%)
o = 15.151 +/- 0.0008946 (0.005905%)
fi = 3.28668 +/- 0.002168 (0.06596%)
s = 1912.29 +/- 0.3418 (0.01787%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d 0.723 1.000
o 0.011 -0.028 1.000
fi -0.026 0.006 -0.724 1.000
s 0.037 0.031 -0.002 -0.000 1.000

/dokumenty/skolni/PRA1/10-Oscilace/fit_pohl.log
0,0 → 1,324
*******************************************************************************
Mon Oct 19 18:13:39 2009
FIT: data read from "pohl0.txt" using 2:3
#datapoints = 1001
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 3.64881e+09 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 50.2778
initial set of free parameter values
a = 500
d = 1
o = 14
fi = 3.14159
s = 1913
After 32 iterations the fit converged.
final sum of squares of residuals : 0.000147123
rel. change during last iteration : -9.90759e-09
degrees of freedom (FIT_NDF) : 996
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000384336
variance of residuals (reduced chisquare) = WSSR/ndf : 1.47714e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 0.101301 +/- 3.749e-05 (0.03701%)
d = 0.024406 +/- 6.719e-05 (0.2753%)
o = 3.5044 +/- 6.593e-05 (0.001881%)
fi = 5.39941 +/- 0.0003511 (0.006503%)
s = 1.84494 +/- 1.22e-05 (0.000661%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d 0.855 1.000
o -0.041 -0.060 1.000
fi 0.035 0.046 -0.841 1.000
s -0.016 0.018 0.035 -0.056 1.000
*******************************************************************************
Mon Oct 19 18:13:41 2009
FIT: data read from "pohl200.txt" using 2:3
#datapoints = 1000
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 3401.33 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.571699
initial set of free parameter values
a = 0.101301
d = 0.024406
o = 3.5044
fi = 5.39941
s = 1.84494
After 8 iterations the fit converged.
final sum of squares of residuals : 0.000218521
rel. change during last iteration : -9.11757e-08
degrees of freedom (FIT_NDF) : 995
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000468635
variance of residuals (reduced chisquare) = WSSR/ndf : 2.19619e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 0.118788 +/- 4.712e-05 (0.03967%)
d = 0.0650315 +/- 8.36e-05 (0.1285%)
o = 3.50585 +/- 8.712e-05 (0.002485%)
fi = 7.21738 +/- 0.0004264 (0.005908%)
s = 0.00486078 +/- 1.488e-05 (0.3061%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d 0.809 1.000
o -0.003 0.006 1.000
fi 0.011 0.005 -0.828 1.000
s -0.055 -0.041 0.002 0.038 1.000
*******************************************************************************
Mon Oct 19 18:13:42 2009
FIT: data read from "pohl400.txt" using 2:3
#datapoints = 1000
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.41939 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.542847
initial set of free parameter values
a = 0.118788
d = 0.0650315
o = 3.50585
fi = 7.21738
s = 0.00486078
After 13 iterations the fit converged.
final sum of squares of residuals : 0.000609683
rel. change during last iteration : -3.73444e-15
degrees of freedom (FIT_NDF) : 995
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000782782
variance of residuals (reduced chisquare) = WSSR/ndf : 6.12747e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -0.121221 +/- 0.0001037 (0.08558%)
d = 0.180421 +/- 0.0002576 (0.1428%)
o = 3.50127 +/- 0.0002511 (0.007171%)
fi = 6.31372 +/- 0.0008392 (0.01329%)
s = 0.00520781 +/- 2.489e-05 (0.478%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d -0.756 1.000
o -0.076 0.045 1.000
fi 0.110 -0.076 -0.748 1.000
s -0.095 0.050 -0.025 0.012 1.000
*******************************************************************************
Mon Oct 19 18:13:43 2009
FIT: data read from "pohl500.txt" using 2:3
#datapoints = 1001
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 3.55897 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.485849
initial set of free parameter values
a = -0.121221
d = 0.180421
o = 3.50127
fi = 6.31372
s = 0.00520781
After 5 iterations the fit converged.
final sum of squares of residuals : 0.000952494
rel. change during last iteration : -3.85414e-06
degrees of freedom (FIT_NDF) : 996
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000977916
variance of residuals (reduced chisquare) = WSSR/ndf : 9.56319e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -0.133005 +/- 0.0001378 (0.1036%)
d = 0.27215 +/- 0.0004338 (0.1594%)
o = 3.50002 +/- 0.0004685 (0.01339%)
fi = 7.10328 +/- 0.001214 (0.01709%)
s = -0.045586 +/- 3.115e-05 (0.06834%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d -0.698 1.000
o -0.019 0.014 1.000
fi 0.023 -0.019 -0.751 1.000
s -0.097 0.067 0.034 -0.073 1.000
*******************************************************************************
Mon Oct 19 18:13:44 2009
FIT: data read from "pohl600.txt" using 2:3
#datapoints = 1001
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 0.370137 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.473312
initial set of free parameter values
a = -0.133005
d = 0.27215
o = 3.50002
fi = 7.10328
s = -0.045586
After 5 iterations the fit converged.
final sum of squares of residuals : 0.00194708
rel. change during last iteration : -4.45468e-16
degrees of freedom (FIT_NDF) : 996
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00139818
variance of residuals (reduced chisquare) = WSSR/ndf : 1.9549e-06
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -0.136266 +/- 0.0002273 (0.1668%)
d = 0.361849 +/- 0.0008849 (0.2445%)
o = 3.49173 +/- 0.0009582 (0.02744%)
fi = 7.61577 +/- 0.001926 (0.02529%)
s = -0.0455781 +/- 4.467e-05 (0.098%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d -0.690 1.000
o 0.113 -0.075 1.000
fi -0.156 0.101 -0.744 1.000
s -0.044 0.042 0.080 -0.127 1.000
*******************************************************************************
Mon Oct 19 18:13:44 2009
FIT: data read from "pohl700.txt" using 2:3
#datapoints = 1001
residuals are weighted equally (unit weight)
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 0.0355528 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 0.465637
initial set of free parameter values
a = -0.136266
d = 0.361849
o = 3.49173
fi = 7.61577
s = -0.0455781
After 5 iterations the fit converged.
final sum of squares of residuals : 0.000909312
rel. change during last iteration : -5.30585e-07
degrees of freedom (FIT_NDF) : 996
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.000955492
variance of residuals (reduced chisquare) = WSSR/ndf : 9.12964e-07
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -0.156712 +/- 0.0001729 (0.1103%)
d = 0.478981 +/- 0.0007775 (0.1623%)
o = 3.47793 +/- 0.0008757 (0.02518%)
fi = 7.56917 +/- 0.001371 (0.01812%)
s = -0.0455486 +/- 3.065e-05 (0.0673%)
correlation matrix of the fit parameters:
a d o fi s
a 1.000
d -0.674 1.000
o 0.122 -0.074 1.000
fi -0.171 0.101 -0.757 1.000
s -0.058 0.056 0.098 -0.146 1.000

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stroke 4762 3991 M
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stroke 5078 1370 M
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stroke 5711 2480 M
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stroke 6027 2063 M
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% w,h = width and height of box
% a = angle in degrees between lines and x-axis
% XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
gsave 1 setgray fill grestore clip
currentlinewidth 0.5 mul setlinewidth
/PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
0 0 M PFa 5 get rotate PFs -2 div dup translate
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
} if
stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
{/InterpretLevel1 Level1 def}
ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke}
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
%%Page: 1 1
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newpath
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/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def
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/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore} def
/CircE {stroke [] 0 setdash
hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
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/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
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hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore} def
/CircW {stroke [] 0 setdash
hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
/Fillden exch def
currentrgbcolor
/ColB exch def /ColG exch def /ColR exch def
/ColR ColR Fillden mul Fillden sub 1 add def
/ColG ColG Fillden mul Fillden sub 1 add def
/ColB ColB Fillden mul Fillden sub 1 add def
ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
% x,y = lower left corner of box to be filled
% w,h = width and height of box
% a = angle in degrees between lines and x-axis
% XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
gsave 1 setgray fill grestore clip
currentlinewidth 0.5 mul setlinewidth
/PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
0 0 M PFa 5 get rotate PFs -2 div dup translate
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
} if
stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
{/InterpretLevel1 Level1 def}
ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke}
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
%%Page: 1 1
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/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def
/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def
/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def
/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def
/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def
/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def
/Dia {stroke [] 0 setdash 2 copy vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke
Pnt} def
/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V
currentpoint stroke M
hpt neg vpt neg R hpt2 0 V stroke
} def
/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke
Pnt} def
/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M
hpt2 vpt2 neg V currentpoint stroke M
hpt2 neg 0 R hpt2 vpt2 V stroke} def
/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke
Pnt} def
/Star {2 copy Pls Crs} def
/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath fill} def
/TriUF {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath fill} def
/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke
Pnt} def
/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath fill} def
/DiaF {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath fill} def
/Pent {stroke [] 0 setdash 2 copy gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore Pnt} def
/PentF {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath fill grestore} def
/Circle {stroke [] 0 setdash 2 copy
hpt 0 360 arc stroke Pnt} def
/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def
/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def
/C1 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
vpt 0 360 arc closepath} bind def
/C2 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc
2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
2 copy vpt 270 450 arc closepath fill
vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath} bind def
/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
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/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def
/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore} def
/CircE {stroke [] 0 setdash
hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore} def
/CircW {stroke [] 0 setdash
hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
/Fillden exch def
currentrgbcolor
/ColB exch def /ColG exch def /ColR exch def
/ColR ColR Fillden mul Fillden sub 1 add def
/ColG ColG Fillden mul Fillden sub 1 add def
/ColB ColB Fillden mul Fillden sub 1 add def
ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
% x,y = lower left corner of box to be filled
% w,h = width and height of box
% a = angle in degrees between lines and x-axis
% XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
gsave 1 setgray fill grestore clip
currentlinewidth 0.5 mul setlinewidth
/PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
0 0 M PFa 5 get rotate PFs -2 div dup translate
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
} if
stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
{/InterpretLevel1 Level1 def}
ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke}
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
%%Page: 1 1
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stroke 2361 2500 M
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stroke 3349 2271 M
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stroke 3679 2457 M
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stroke 4008 2370 M
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stroke 4667 2407 M
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stroke 4997 2375 M
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stroke 5326 2405 M
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stroke 5655 2384 M
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stroke 5985 2395 M
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stroke 6314 2391 M
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stroke 6644 2391 M
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stroke 6973 2393 M
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%%Trailer
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/dokumenty/skolni/PRA1/10-Oscilace/pohl.gp
0,0 → 1,48
set terminal postscript
set samples 2000
set key off
set xlabel "time [s]"
set ylabel "amplitude [1]"
s=1913
#d=0.1
a=500
o=14
fi=pi
set output "pohl0.ps"
f(x)=a*exp(-d*x)*sin(o*x+fi)+s
fit f(x) "pohl0.txt" using 2:3 via a, d, o,fi ,s
plot f(x)
set output "pohl200.ps"
f(x)=a*exp(-d*x)*sin(o*x+fi)+s
fit f(x) "pohl200.txt" using 2:3 via a, d, o,fi ,s
plot f(x)
set output "pohl400.ps"
f(x)=a*exp(-d*x)*sin(o*x+fi)+s
fit f(x) "pohl400.txt" using 2:3 via a, d, o,fi ,s
plot f(x)
set output "pohl500.ps"
f(x)=a*exp(-d*x)*sin(o*x+fi)+s
fit f(x) "pohl500.txt" using 2:3 via a, d, o,fi ,s
plot f(x)
set output "pohl600.ps"
f(x)=a*exp(-d*x)*sin(o*x+fi)+s
fit f(x) "pohl600.txt" using 2:3 via a, d, o,fi ,s
plot f(x)
set output "pohl700.ps"
f(x)=a*exp(-d*x)*sin(o*x+fi)+s
fit f(x) "pohl700.txt" using 2:3 via a, d, o,fi ,s
plot f(x)
!ps2pdf pohl0.ps
!ps2pdf pohl200.ps
!ps2pdf pohl400.ps
!ps2pdf pohl500.ps
!ps2pdf pohl600.ps
!ps2pdf pohl700.ps

/dokumenty/skolni/PRA1/10-Oscilace/pohl0.txt
0,0 → 1,1002
1 0 1.767
2 0.01 1.769
3 0.02 1.772
4 0.03 1.774
5 0.04 1.777
6 0.05 1.78
7 0.06 1.782
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14 0.13 1.804
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25 0.24 1.841
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32 0.31 1.865
33 0.32 1.869
34 0.33 1.872
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44 0.43 1.904
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93 0.92 1.916
94 0.93 1.913
95 0.94 1.911
96 0.95 1.908
97 0.96 1.905
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113 1.12 1.854
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115 1.14 1.848
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121 1.2 1.827
122 1.21 1.824
123 1.22 1.82
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125 1.24 1.814
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128 1.27 1.804
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132 1.31 1.792
133 1.32 1.789
134 1.33 1.786
135 1.34 1.784
136 1.35 1.781
137 1.36 1.779
138 1.37 1.776
139 1.38 1.774
140 1.39 1.772
141 1.4 1.769
142 1.41 1.767
143 1.42 1.765
144 1.43 1.764
145 1.44 1.762
146 1.45 1.76
147 1.46 1.758
148 1.47 1.757
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150 1.49 1.754
151 1.5 1.753
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664 6.63 1.814
665 6.64 1.812
666 6.65 1.809
667 6.66 1.806
668 6.67 1.804
669 6.68 1.801
670 6.69 1.798
671 6.7 1.796
672 6.71 1.794
673 6.72 1.791
674 6.73 1.789
675 6.74 1.787
676 6.75 1.785
677 6.76 1.782
678 6.77 1.78
679 6.78 1.778
680 6.79 1.777
681 6.8 1.775
682 6.81 1.773
683 6.82 1.772
684 6.83 1.77
685 6.84 1.769
686 6.85 1.768
687 6.86 1.766
688 6.87 1.765
689 6.88 1.764
690 6.89 1.763
691 6.9 1.762
692 6.91 1.762
693 6.92 1.761
694 6.93 1.761
695 6.94 1.76
696 6.95 1.76
697 6.96 1.76
698 6.97 1.76
699 6.98 1.76
700 6.99 1.76
701 7 1.76
702 7.01 1.76
703 7.02 1.761
704 7.03 1.761
705 7.04 1.762
706 7.05 1.762
707 7.06 1.764
708 7.07 1.764
709 7.08 1.765
710 7.09 1.766
711 7.1 1.768
712 7.11 1.769
713 7.12 1.77
714 7.13 1.772
715 7.14 1.774
716 7.15 1.776
717 7.16 1.777
718 7.17 1.779
719 7.18 1.781
720 7.19 1.783
721 7.2 1.785
722 7.21 1.787
723 7.22 1.789
724 7.23 1.792
725 7.24 1.794
726 7.25 1.796
727 7.26 1.799
728 7.27 1.801
729 7.28 1.804
730 7.29 1.806
731 7.3 1.809
732 7.31 1.812
733 7.32 1.815
734 7.33 1.817
735 7.34 1.82
736 7.35 1.823
737 7.36 1.826
738 7.37 1.829
739 7.38 1.832
740 7.39 1.835
741 7.4 1.838
742 7.41 1.841
743 7.42 1.844
744 7.43 1.847
745 7.44 1.849
746 7.45 1.853
747 7.46 1.856
748 7.47 1.858
749 7.48 1.861
750 7.49 1.864
751 7.5 1.867
752 7.51 1.87
753 7.52 1.873
754 7.53 1.876
755 7.54 1.878
756 7.55 1.881
757 7.56 1.884
758 7.57 1.886
759 7.58 1.889
760 7.59 1.891
761 7.6 1.894
762 7.61 1.896
763 7.62 1.898
764 7.63 1.901
765 7.64 1.903
766 7.65 1.905
767 7.66 1.907
768 7.67 1.909
769 7.68 1.911
770 7.69 1.913
771 7.7 1.914
772 7.71 1.916
773 7.72 1.917
774 7.73 1.919
775 7.74 1.92
776 7.75 1.921
777 7.76 1.922
778 7.77 1.924
779 7.78 1.925
780 7.79 1.925
781 7.8 1.926
782 7.81 1.927
783 7.82 1.928
784 7.83 1.928
785 7.84 1.928
786 7.85 1.929
787 7.86 1.929
788 7.87 1.929
789 7.88 1.929
790 7.89 1.929
791 7.9 1.928
792 7.91 1.928
793 7.92 1.928
794 7.93 1.927
795 7.94 1.926
796 7.95 1.925
797 7.96 1.925
798 7.97 1.924
799 7.98 1.922
800 7.99 1.921
801 8 1.92
802 8.01 1.919
803 8.02 1.917
804 8.03 1.916
805 8.04 1.914
806 8.05 1.913
807 8.06 1.911
808 8.07 1.909
809 8.08 1.907
810 8.09 1.905
811 8.1 1.903
812 8.11 1.901
813 8.12 1.898
814 8.13 1.896
815 8.14 1.894
816 8.15 1.892
817 8.16 1.889
818 8.17 1.887
819 8.18 1.884
820 8.19 1.882
821 8.2 1.879
822 8.21 1.876
823 8.22 1.873
824 8.23 1.871
825 8.24 1.868
826 8.25 1.865
827 8.26 1.862
828 8.27 1.86
829 8.28 1.857
830 8.29 1.854
831 8.3 1.85
832 8.31 1.848
833 8.32 1.845
834 8.33 1.842
835 8.34 1.839
836 8.35 1.836
837 8.36 1.833
838 8.37 1.83
839 8.38 1.828
840 8.39 1.825
841 8.4 1.822
842 8.41 1.82
843 8.42 1.817
844 8.43 1.814
845 8.44 1.812
846 8.45 1.809
847 8.46 1.806
848 8.47 1.804
849 8.48 1.801
850 8.49 1.799
851 8.5 1.797
852 8.51 1.794
853 8.52 1.792
854 8.53 1.79
855 8.54 1.788
856 8.55 1.786
857 8.56 1.784
858 8.57 1.782
859 8.58 1.78
860 8.59 1.778
861 8.6 1.777
862 8.61 1.776
863 8.62 1.774
864 8.63 1.773
865 8.64 1.772
866 8.65 1.77
867 8.66 1.769
868 8.67 1.768
869 8.68 1.767
870 8.69 1.766
871 8.7 1.766
872 8.71 1.765
873 8.72 1.765
874 8.73 1.764
875 8.74 1.764
876 8.75 1.764
877 8.76 1.764
878 8.77 1.764
879 8.78 1.764
880 8.79 1.764
881 8.8 1.764
882 8.81 1.764
883 8.82 1.765
884 8.83 1.765
885 8.84 1.766
886 8.85 1.767
887 8.86 1.768
888 8.87 1.769
889 8.88 1.77
890 8.89 1.771
891 8.9 1.772
892 8.91 1.774
893 8.92 1.775
894 8.93 1.777
895 8.94 1.778
896 8.95 1.78
897 8.96 1.781
898 8.97 1.784
899 8.98 1.785
900 8.99 1.787
901 9 1.789
902 9.01 1.792
903 9.02 1.793
904 9.03 1.796
905 9.04 1.798
906 9.05 1.801
907 9.06 1.803
908 9.07 1.805
909 9.08 1.808
910 9.09 1.81
911 9.1 1.813
912 9.11 1.816
913 9.12 1.818
914 9.13 1.821
915 9.14 1.824
916 9.15 1.826
917 9.16 1.829
918 9.17 1.832
919 9.18 1.834
920 9.19 1.837
921 9.2 1.84
922 9.21 1.843
923 9.22 1.846
924 9.23 1.849
925 9.24 1.852
926 9.25 1.854
927 9.26 1.857
928 9.27 1.86
929 9.28 1.863
930 9.29 1.865
931 9.3 1.868
932 9.31 1.871
933 9.32 1.873
934 9.33 1.876
935 9.34 1.879
936 9.35 1.881
937 9.36 1.884
938 9.37 1.886
939 9.38 1.889
940 9.39 1.891
941 9.4 1.893
942 9.41 1.895
943 9.42 1.897
944 9.43 1.9
945 9.44 1.902
946 9.45 1.904
947 9.46 1.905
948 9.47 1.907
949 9.48 1.909
950 9.49 1.91
951 9.5 1.912
952 9.51 1.913
953 9.52 1.915
954 9.53 1.916
955 9.54 1.917
956 9.55 1.918
957 9.56 1.92
958 9.57 1.921
959 9.58 1.921
960 9.59 1.922
961 9.6 1.923
962 9.61 1.924
963 9.62 1.924
964 9.63 1.924
965 9.64 1.925
966 9.65 1.925
967 9.66 1.925
968 9.67 1.925
969 9.68 1.925
970 9.69 1.925
971 9.7 1.924
972 9.71 1.924
973 9.72 1.923
974 9.73 1.923
975 9.74 1.922
976 9.75 1.921
977 9.76 1.92
978 9.77 1.919
979 9.78 1.918
980 9.79 1.917
981 9.8 1.916
982 9.81 1.914
983 9.82 1.913
984 9.83 1.912
985 9.84 1.91
986 9.85 1.908
987 9.86 1.906
988 9.87 1.905
989 9.88 1.903
990 9.89 1.901
991 9.9 1.899
992 9.91 1.897
993 9.92 1.894
994 9.93 1.892
995 9.94 1.89
996 9.95 1.888
997 9.96 1.885
998 9.97 1.883
999 9.98 1.881
1000 9.99 1.878
1001 10 1.876

/dokumenty/skolni/PRA1/10-Oscilace/pohl200.txt
0,0 → 1,1001
1 0 0.099
2 0.01 0.102
3 0.021 0.105
4 0.031 0.106
5 0.041 0.109
6 0.051 0.11
7 0.061 0.112
8 0.071 0.114
9 0.081 0.115
10 0.091 0.116
11 0.101 0.117
12 0.111 0.118
13 0.121 0.119
14 0.131 0.12
15 0.141 0.121
16 0.151 0.121
17 0.161 0.121
18 0.171 0.122
19 0.181 0.122
20 0.191 0.122
21 0.201 0.121
22 0.211 0.121
23 0.221 0.12
24 0.231 0.119
25 0.241 0.119
26 0.251 0.118
27 0.261 0.117
28 0.271 0.115
29 0.281 0.114
30 0.291 0.112
31 0.301 0.111
32 0.311 0.109
33 0.321 0.107
34 0.331 0.105
35 0.341 0.103
36 0.351 0.101
37 0.361 0.098
38 0.371 0.095
39 0.381 0.093
40 0.391 0.09
41 0.401 0.087
42 0.411 0.085
43 0.421 0.081
44 0.431 0.078
45 0.441 0.075
46 0.451 0.071
47 0.461 0.069
48 0.471 0.065
49 0.481 0.062
50 0.491 0.058
51 0.501 0.055
52 0.511 0.051
53 0.521 0.047
54 0.531 0.043
55 0.541 0.039
56 0.551 0.035
57 0.561 0.032
58 0.571 0.028
59 0.581 0.024
60 0.591 0.02
61 0.601 0.016
62 0.611 0.012
63 0.621 0.008
64 0.631 0.004
65 0.641 0
66 0.651 -0.004
67 0.661 -0.008
68 0.671 -0.012
69 0.681 -0.016
70 0.691 -0.019
71 0.701 -0.023
72 0.711 -0.027
73 0.721 -0.031
74 0.731 -0.035
75 0.741 -0.038
76 0.751 -0.042
77 0.761 -0.045
78 0.771 -0.049
79 0.781 -0.052
80 0.791 -0.055
81 0.801 -0.059
82 0.811 -0.062
83 0.821 -0.065
84 0.831 -0.068
85 0.841 -0.071
86 0.851 -0.074
87 0.861 -0.077
88 0.871 -0.079
89 0.881 -0.082
90 0.891 -0.084
91 0.901 -0.086
92 0.911 -0.089
93 0.921 -0.09
94 0.931 -0.092
95 0.941 -0.094
96 0.951 -0.096
97 0.961 -0.097
98 0.971 -0.099
99 0.981 -0.1
100 0.991 -0.101
101 1.001 -0.102
102 1.011 -0.103
103 1.021 -0.104
104 1.031 -0.105
105 1.041 -0.105
106 1.051 -0.105
107 1.061 -0.105
108 1.071 -0.106
109 1.081 -0.106
110 1.091 -0.106
111 1.101 -0.105
112 1.111 -0.105
113 1.121 -0.104
114 1.131 -0.103
115 1.141 -0.102
116 1.151 -0.102
117 1.161 -0.101
118 1.171 -0.099
119 1.181 -0.098
120 1.191 -0.096
121 1.201 -0.095
122 1.211 -0.093
123 1.221 -0.091
124 1.231 -0.089
125 1.241 -0.087
126 1.251 -0.085
127 1.261 -0.082
128 1.271 -0.08
129 1.281 -0.078
130 1.291 -0.075
131 1.301 -0.073
132 1.311 -0.07
133 1.321 -0.067
134 1.331 -0.064
135 1.341 -0.061
136 1.351 -0.058
137 1.361 -0.054
138 1.371 -0.051
139 1.381 -0.048
140 1.391 -0.045
141 1.401 -0.041
142 1.411 -0.038
143 1.421 -0.034
144 1.431 -0.03
145 1.441 -0.027
146 1.451 -0.023
147 1.461 -0.019
148 1.471 -0.016
149 1.481 -0.012
150 1.491 -0.009
151 1.501 -0.005
152 1.511 -0.001
153 1.521 0.003
154 1.531 0.007
155 1.541 0.01
156 1.551 0.014
157 1.561 0.018
158 1.571 0.022
159 1.581 0.025
160 1.591 0.029
161 1.601 0.033
162 1.611 0.036
163 1.621 0.039
164 1.631 0.043
165 1.641 0.046
166 1.651 0.05
167 1.661 0.053
168 1.671 0.057
169 1.681 0.06
170 1.691 0.063
171 1.701 0.066
172 1.711 0.069
173 1.721 0.072
174 1.731 0.075
175 1.741 0.077
176 1.751 0.08
177 1.761 0.082
178 1.771 0.085
179 1.781 0.087
180 1.791 0.09
181 1.801 0.091
182 1.811 0.094
183 1.821 0.095
184 1.831 0.097
185 1.841 0.099
186 1.851 0.101
187 1.861 0.102
188 1.871 0.103
189 1.881 0.105
190 1.891 0.106
191 1.901 0.106
192 1.911 0.107
193 1.921 0.108
194 1.931 0.109
195 1.941 0.109
196 1.951 0.109
197 1.961 0.11
198 1.971 0.11
199 1.981 0.11
200 1.991 0.109
201 2.001 0.109
202 2.011 0.109
203 2.021 0.108
204 2.031 0.107
205 2.041 0.106
206 2.051 0.105
207 2.061 0.104
208 2.071 0.103
209 2.081 0.102
210 2.091 0.1
211 2.101 0.099
212 2.111 0.097
213 2.121 0.095
214 2.131 0.093
215 2.141 0.091
216 2.151 0.089
217 2.161 0.087
218 2.171 0.085
219 2.181 0.082
220 2.191 0.079
221 2.201 0.077
222 2.211 0.074
223 2.221 0.071
224 2.231 0.069
225 2.241 0.066
226 2.251 0.063
227 2.261 0.06
228 2.271 0.057
229 2.281 0.053
230 2.291 0.05
231 2.301 0.047
232 2.311 0.043
233 2.321 0.04
234 2.331 0.037
235 2.341 0.033
236 2.351 0.03
237 2.361 0.026
238 2.371 0.023
239 2.381 0.019
240 2.391 0.015
241 2.401 0.012
242 2.411 0.009
243 2.421 0.005
244 2.431 0.001
245 2.441 -0.002
246 2.451 -0.006
247 2.461 -0.009
248 2.471 -0.013
249 2.481 -0.016
250 2.491 -0.019
251 2.501 -0.023
252 2.511 -0.026
253 2.521 -0.03
254 2.531 -0.033
255 2.541 -0.036
256 2.551 -0.039
257 2.561 -0.042
258 2.571 -0.046
259 2.581 -0.049
260 2.591 -0.051
261 2.601 -0.054
262 2.611 -0.057
263 2.621 -0.06
264 2.631 -0.062
265 2.641 -0.065
266 2.651 -0.067
267 2.661 -0.07
268 2.671 -0.072
269 2.681 -0.074
270 2.691 -0.076
271 2.701 -0.078
272 2.711 -0.08
273 2.721 -0.082
274 2.731 -0.083
275 2.741 -0.085
276 2.751 -0.086
277 2.761 -0.087
278 2.771 -0.089
279 2.781 -0.09
280 2.791 -0.091
281 2.801 -0.091
282 2.811 -0.092
283 2.821 -0.093
284 2.831 -0.093
285 2.841 -0.094
286 2.851 -0.094
287 2.861 -0.094
288 2.871 -0.094
289 2.881 -0.094
290 2.891 -0.094
291 2.901 -0.093
292 2.911 -0.093
293 2.921 -0.092
294 2.931 -0.091
295 2.941 -0.09
296 2.951 -0.09
297 2.961 -0.089
298 2.971 -0.087
299 2.981 -0.086
300 2.991 -0.085
301 3.001 -0.083
302 3.011 -0.082
303 3.021 -0.079
304 3.031 -0.078
305 3.041 -0.076
306 3.051 -0.074
307 3.061 -0.072
308 3.071 -0.07
309 3.081 -0.067
310 3.091 -0.065
311 3.101 -0.062
312 3.111 -0.06
313 3.121 -0.057
314 3.131 -0.054
315 3.141 -0.052
316 3.151 -0.049
317 3.161 -0.046
318 3.171 -0.043
319 3.181 -0.04
320 3.191 -0.037
321 3.201 -0.034
322 3.211 -0.031
323 3.221 -0.027
324 3.231 -0.025
325 3.241 -0.021
326 3.251 -0.018
327 3.261 -0.014
328 3.271 -0.011
329 3.281 -0.008
330 3.291 -0.005
331 3.301 -0.001
332 3.311 0.002
333 3.321 0.006
334 3.331 0.009
335 3.341 0.012
336 3.351 0.015
337 3.361 0.019
338 3.371 0.022
339 3.381 0.026
340 3.391 0.029
341 3.401 0.032
342 3.411 0.035
343 3.421 0.038
344 3.431 0.042
345 3.441 0.045
346 3.451 0.047
347 3.461 0.05
348 3.471 0.053
349 3.481 0.056
350 3.491 0.059
351 3.501 0.062
352 3.511 0.064
353 3.521 0.067
354 3.531 0.069
355 3.541 0.071
356 3.551 0.074
357 3.561 0.076
358 3.571 0.078
359 3.581 0.08
360 3.591 0.082
361 3.601 0.084
362 3.611 0.086
363 3.621 0.087
364 3.631 0.089
365 3.641 0.09
366 3.651 0.091
367 3.661 0.093
368 3.671 0.094
369 3.681 0.095
370 3.691 0.095
371 3.701 0.097
372 3.711 0.097
373 3.721 0.098
374 3.731 0.098
375 3.741 0.098
376 3.751 0.098
377 3.761 0.098
378 3.771 0.098
379 3.781 0.098
380 3.791 0.098
381 3.801 0.098
382 3.811 0.097
383 3.821 0.097
384 3.831 0.095
385 3.841 0.095
386 3.851 0.094
387 3.861 0.093
388 3.871 0.091
389 3.881 0.09
390 3.891 0.089
391 3.901 0.087
392 3.911 0.086
393 3.921 0.084
394 3.931 0.082
395 3.941 0.081
396 3.951 0.078
397 3.961 0.077
398 3.971 0.074
399 3.981 0.072
400 3.991 0.07
401 4.001 0.067
402 4.011 0.065
403 4.021 0.062
404 4.031 0.06
405 4.041 0.057
406 4.051 0.055
407 4.061 0.052
408 4.071 0.049
409 4.081 0.046
410 4.091 0.043
411 4.101 0.04
412 4.111 0.037
413 4.121 0.034
414 4.131 0.031
415 4.141 0.028
416 4.151 0.025
417 4.161 0.022
418 4.171 0.019
419 4.181 0.015
420 4.191 0.012
421 4.201 0.009
422 4.211 0.006
423 4.221 0.003
424 4.231 -0.001
425 4.241 -0.004
426 4.251 -0.007
427 4.261 -0.01
428 4.271 -0.013
429 4.281 -0.016
430 4.291 -0.019
431 4.301 -0.022
432 4.311 -0.025
433 4.321 -0.028
434 4.331 -0.031
435 4.341 -0.034
436 4.351 -0.037
437 4.361 -0.039
438 4.371 -0.042
439 4.381 -0.045
440 4.391 -0.047
441 4.401 -0.05
442 4.411 -0.052
443 4.421 -0.055
444 4.431 -0.057
445 4.441 -0.059
446 4.451 -0.061
447 4.461 -0.063
448 4.471 -0.065
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450 4.491 -0.069
451 4.501 -0.07
452 4.511 -0.072
453 4.521 -0.073
454 4.531 -0.075
455 4.541 -0.076
456 4.551 -0.077
457 4.561 -0.078
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465 4.641 -0.083
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467 4.661 -0.083
468 4.671 -0.083
469 4.681 -0.083
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471 4.701 -0.082
472 4.711 -0.082
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477 4.761 -0.078
478 4.771 -0.077
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480 4.791 -0.074
481 4.801 -0.073
482 4.811 -0.071
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485 4.841 -0.066
486 4.851 -0.064
487 4.861 -0.062
488 4.871 -0.06
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490 4.891 -0.055
491 4.901 -0.053
492 4.911 -0.051
493 4.921 -0.049
494 4.931 -0.046
495 4.941 -0.043
496 4.951 -0.041
497 4.961 -0.038
498 4.971 -0.035
499 4.981 -0.033
500 4.991 -0.03
501 5.001 -0.027
502 5.011 -0.025
503 5.021 -0.022
504 5.031 -0.018
505 5.041 -0.016
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1000 9.99 -0.055

/dokumenty/skolni/PRA1/10-Oscilace/pohl400.txt
0,0 → 1,1001
1 0 0.001
2 0.01 -0.003
3 0.02 -0.007
4 0.03 -0.011
5 0.04 -0.015
6 0.05 -0.019
7 0.06 -0.023
8 0.07 -0.027
9 0.08 -0.031
10 0.09 -0.035
11 0.1 -0.039
12 0.11 -0.042
13 0.12 -0.046
14 0.13 -0.05
15 0.14 -0.053
16 0.15 -0.057
17 0.16 -0.06
18 0.17 -0.063
19 0.18 -0.066
20 0.19 -0.069
21 0.2 -0.072
22 0.21 -0.075
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24 0.23 -0.08
25 0.24 -0.082
26 0.25 -0.085
27 0.26 -0.087
28 0.27 -0.089
29 0.28 -0.091
30 0.29 -0.093
31 0.3 -0.095
32 0.31 -0.097
33 0.32 -0.098
34 0.33 -0.099
35 0.34 -0.101
36 0.35 -0.102
37 0.36 -0.103
38 0.37 -0.103
39 0.38 -0.104
40 0.39 -0.105
41 0.4 -0.105
42 0.41 -0.105
43 0.42 -0.106
44 0.43 -0.106
45 0.44 -0.106
46 0.45 -0.105
47 0.46 -0.105
48 0.47 -0.105
49 0.48 -0.104
50 0.49 -0.103
51 0.5 -0.102
52 0.51 -0.101
53 0.52 -0.1
54 0.53 -0.098
55 0.54 -0.097
56 0.55 -0.095
57 0.56 -0.094
58 0.57 -0.092
59 0.58 -0.09
60 0.59 -0.089
61 0.6 -0.086
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63 0.62 -0.082
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66 0.65 -0.074
67 0.66 -0.071
68 0.67 -0.069
69 0.68 -0.066
70 0.69 -0.063
71 0.7 -0.06
72 0.71 -0.057
73 0.72 -0.054
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86 0.85 -0.009
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88 0.87 -0.002
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94 0.93 0.019
95 0.94 0.023
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132 1.31 0.1
133 1.32 0.1
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295 2.94 0.062
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299 2.98 0.067
300 2.99 0.068
301 3 0.069
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303 3.02 0.071
304 3.03 0.072
305 3.04 0.073
306 3.05 0.073
307 3.06 0.074
308 3.07 0.074
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311 3.1 0.075
312 3.11 0.075
313 3.12 0.075
314 3.13 0.075
315 3.14 0.075
316 3.15 0.075
317 3.16 0.074
318 3.17 0.074
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320 3.19 0.073
321 3.2 0.072
322 3.21 0.071
323 3.22 0.071
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325 3.24 0.069
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349 3.48 0.027
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/dokumenty/skolni/PRA1/10-Oscilace/pohl500.txt
0,0 → 1,1002
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/dokumenty/skolni/PRA1/10-Oscilace/pohl600.txt
0,0 → 1,1002
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2 0.01 -0.175
3 0.02 -0.175
4 0.03 -0.176
5 0.04 -0.176
6 0.05 -0.176
7 0.06 -0.176
8 0.07 -0.175
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10 0.09 -0.174
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15 0.14 -0.169
16 0.15 -0.167
17 0.16 -0.165
18 0.17 -0.163
19 0.18 -0.162
20 0.19 -0.159
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22 0.21 -0.155
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24 0.23 -0.15
25 0.24 -0.147
26 0.25 -0.144
27 0.26 -0.142
28 0.27 -0.138
29 0.28 -0.135
30 0.29 -0.132
31 0.3 -0.129
32 0.31 -0.126
33 0.32 -0.122
34 0.33 -0.119
35 0.34 -0.115
36 0.35 -0.111
37 0.36 -0.108
38 0.37 -0.104
39 0.38 -0.101
40 0.39 -0.097
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/dokumenty/skolni/PRA1/10-Oscilace/pohl700.txt
0,0 → 1,1002
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4 0.03 -0.197
5 0.04 -0.197
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32 0.31 -0.139
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632 6.31 -0.039
633 6.32 -0.039
634 6.33 -0.039
635 6.34 -0.039
636 6.35 -0.039
637 6.36 -0.039
638 6.37 -0.039
639 6.38 -0.039
640 6.39 -0.039
641 6.4 -0.039
642 6.41 -0.04
643 6.42 -0.04
644 6.43 -0.04
645 6.44 -0.04
646 6.45 -0.04
647 6.46 -0.04
648 6.47 -0.04
649 6.48 -0.04
650 6.49 -0.041
651 6.5 -0.041
652 6.51 -0.041
653 6.52 -0.041
654 6.53 -0.041
655 6.54 -0.041
656 6.55 -0.041
657 6.56 -0.041
658 6.57 -0.041
659 6.58 -0.042
660 6.59 -0.042
661 6.6 -0.042
662 6.61 -0.042
663 6.62 -0.042
664 6.63 -0.042
665 6.64 -0.042
666 6.65 -0.043
667 6.66 -0.043
668 6.67 -0.043
669 6.68 -0.043
670 6.69 -0.043
671 6.7 -0.043
672 6.71 -0.043
673 6.72 -0.044
674 6.73 -0.044
675 6.74 -0.044
676 6.75 -0.045
677 6.76 -0.045
678 6.77 -0.045
679 6.78 -0.045
680 6.79 -0.045
681 6.8 -0.045
682 6.81 -0.045
683 6.82 -0.045
684 6.83 -0.046
685 6.84 -0.046
686 6.85 -0.046
687 6.86 -0.046
688 6.87 -0.046
689 6.88 -0.046
690 6.89 -0.046
691 6.9 -0.047
692 6.91 -0.047
693 6.92 -0.047
694 6.93 -0.047
695 6.94 -0.047
696 6.95 -0.047
697 6.96 -0.047
698 6.97 -0.047
699 6.98 -0.047
700 6.99 -0.048
701 7 -0.048
702 7.01 -0.048
703 7.02 -0.048
704 7.03 -0.048
705 7.04 -0.048
706 7.05 -0.048
707 7.06 -0.049
708 7.07 -0.049
709 7.08 -0.049
710 7.09 -0.049
711 7.1 -0.049
712 7.11 -0.049
713 7.12 -0.049
714 7.13 -0.049
715 7.14 -0.049
716 7.15 -0.049
717 7.16 -0.049
718 7.17 -0.049
719 7.18 -0.049
720 7.19 -0.049
721 7.2 -0.049
722 7.21 -0.049
723 7.22 -0.049
724 7.23 -0.049
725 7.24 -0.049
726 7.25 -0.049
727 7.26 -0.049
728 7.27 -0.049
729 7.28 -0.049
730 7.29 -0.049
731 7.3 -0.049
732 7.31 -0.049
733 7.32 -0.049
734 7.33 -0.049
735 7.34 -0.049
736 7.35 -0.049
737 7.36 -0.049
738 7.37 -0.049
739 7.38 -0.049
740 7.39 -0.048
741 7.4 -0.048
742 7.41 -0.048
743 7.42 -0.048
744 7.43 -0.048
745 7.44 -0.048
746 7.45 -0.048
747 7.46 -0.048
748 7.47 -0.048
749 7.48 -0.047
750 7.49 -0.047
751 7.5 -0.047
752 7.51 -0.047
753 7.52 -0.047
754 7.53 -0.047
755 7.54 -0.047
756 7.55 -0.047
757 7.56 -0.047
758 7.57 -0.047
759 7.58 -0.047
760 7.59 -0.047
761 7.6 -0.047
762 7.61 -0.047
763 7.62 -0.046
764 7.63 -0.046
765 7.64 -0.046
766 7.65 -0.046
767 7.66 -0.046
768 7.67 -0.046
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770 7.69 -0.046
771 7.7 -0.046
772 7.71 -0.046
773 7.72 -0.046
774 7.73 -0.046
775 7.74 -0.046
776 7.75 -0.046
777 7.76 -0.045
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779 7.78 -0.045
780 7.79 -0.045
781 7.8 -0.045
782 7.81 -0.045
783 7.82 -0.045
784 7.83 -0.045
785 7.84 -0.045
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787 7.86 -0.045
788 7.87 -0.045
789 7.88 -0.045
790 7.89 -0.045
791 7.9 -0.045
792 7.91 -0.045
793 7.92 -0.045
794 7.93 -0.045
795 7.94 -0.045
796 7.95 -0.044
797 7.96 -0.044
798 7.97 -0.044
799 7.98 -0.044
800 7.99 -0.044
801 8 -0.044
802 8.01 -0.044
803 8.02 -0.044
804 8.03 -0.044
805 8.04 -0.044
806 8.05 -0.044
807 8.06 -0.044
808 8.07 -0.044
809 8.08 -0.044
810 8.09 -0.044
811 8.1 -0.044
812 8.11 -0.044
813 8.12 -0.044
814 8.13 -0.044
815 8.14 -0.044
816 8.15 -0.044
817 8.16 -0.044
818 8.17 -0.044
819 8.18 -0.044
820 8.19 -0.044
821 8.2 -0.044
822 8.21 -0.044
823 8.22 -0.044
824 8.23 -0.044
825 8.24 -0.044
826 8.25 -0.044
827 8.26 -0.044
828 8.27 -0.044
829 8.28 -0.044
830 8.29 -0.044
831 8.3 -0.045
832 8.31 -0.045
833 8.32 -0.045
834 8.33 -0.045
835 8.34 -0.045
836 8.35 -0.045
837 8.36 -0.045
838 8.37 -0.045
839 8.38 -0.045
840 8.39 -0.045
841 8.4 -0.045
842 8.41 -0.045
843 8.42 -0.045
844 8.43 -0.045
845 8.44 -0.045
846 8.45 -0.045
847 8.46 -0.045
848 8.47 -0.045
849 8.48 -0.045
850 8.49 -0.045
851 8.5 -0.045
852 8.51 -0.045
853 8.52 -0.045
854 8.53 -0.045
855 8.54 -0.045
856 8.55 -0.045
857 8.56 -0.045
858 8.57 -0.045
859 8.58 -0.045
860 8.59 -0.045
861 8.6 -0.045
862 8.61 -0.045
863 8.62 -0.046
864 8.63 -0.046
865 8.64 -0.046
866 8.65 -0.046
867 8.66 -0.046
868 8.67 -0.046
869 8.68 -0.046
870 8.69 -0.046
871 8.7 -0.046
872 8.71 -0.046
873 8.72 -0.046
874 8.73 -0.046
875 8.74 -0.046
876 8.75 -0.046
877 8.76 -0.046
878 8.77 -0.046
879 8.78 -0.046
880 8.79 -0.046
881 8.8 -0.046
882 8.81 -0.046
883 8.82 -0.046
884 8.83 -0.046
885 8.84 -0.046
886 8.85 -0.046
887 8.86 -0.046
888 8.87 -0.046
889 8.88 -0.046
890 8.89 -0.046
891 8.9 -0.046
892 8.91 -0.046
893 8.92 -0.046
894 8.93 -0.046
895 8.94 -0.046
896 8.95 -0.046
897 8.96 -0.046
898 8.97 -0.046
899 8.98 -0.046
900 8.99 -0.046
901 9 -0.046
902 9.01 -0.046
903 9.02 -0.046
904 9.03 -0.046
905 9.04 -0.046
906 9.05 -0.046
907 9.06 -0.046
908 9.07 -0.046
909 9.08 -0.046
910 9.09 -0.046
911 9.1 -0.046
912 9.11 -0.046
913 9.12 -0.046
914 9.13 -0.046
915 9.14 -0.046
916 9.15 -0.046
917 9.16 -0.046
918 9.17 -0.046
919 9.18 -0.046
920 9.19 -0.046
921 9.2 -0.046
922 9.21 -0.046
923 9.22 -0.046
924 9.23 -0.046
925 9.24 -0.046
926 9.25 -0.046
927 9.26 -0.046
928 9.27 -0.046
929 9.28 -0.046
930 9.29 -0.046
931 9.3 -0.046
932 9.31 -0.046
933 9.32 -0.046
934 9.33 -0.046
935 9.34 -0.046
936 9.35 -0.046
937 9.36 -0.046
938 9.37 -0.046
939 9.38 -0.046
940 9.39 -0.046
941 9.4 -0.046
942 9.41 -0.046
943 9.42 -0.046
944 9.43 -0.046
945 9.44 -0.046
946 9.45 -0.046
947 9.46 -0.046
948 9.47 -0.046
949 9.48 -0.046
950 9.49 -0.046
951 9.5 -0.046
952 9.51 -0.046
953 9.52 -0.046
954 9.53 -0.046
955 9.54 -0.046
956 9.55 -0.046
957 9.56 -0.046
958 9.57 -0.046
959 9.58 -0.046
960 9.59 -0.046
961 9.6 -0.046
962 9.61 -0.046
963 9.62 -0.046
964 9.63 -0.046
965 9.64 -0.046
966 9.65 -0.046
967 9.66 -0.046
968 9.67 -0.046
969 9.68 -0.046
970 9.69 -0.046
971 9.7 -0.046
972 9.71 -0.046
973 9.72 -0.046
974 9.73 -0.046
975 9.74 -0.046
976 9.75 -0.046
977 9.76 -0.046
978 9.77 -0.046
979 9.78 -0.046
980 9.79 -0.046
981 9.8 -0.046
982 9.81 -0.046
983 9.82 -0.046
984 9.83 -0.046
985 9.84 -0.046
986 9.85 -0.046
987 9.86 -0.046
988 9.87 -0.046
989 9.88 -0.046
990 9.89 -0.046
991 9.9 -0.046
992 9.91 -0.046
993 9.92 -0.046
994 9.93 -0.046
995 9.94 -0.046
996 9.95 -0.046
997 9.96 -0.046
998 9.97 -0.046
999 9.98 -0.046
1000 9.99 -0.046
1001 10 -0.046

/dokumenty/skolni/PRA1/10-Oscilace/data/druhy1.vcm
0,0 → 1,1379
VCMOT1
t
s
0 16.775 5 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
2 1343
392 3750
392 3750
394 3751
398 3750
404 3751
411 3751
420 3751
431 3755
442 3758
454 3761
467 3766
481 3771
496 3774
510 3779
525 3783
539 3787
554 3789
568 3792
580 3795
593 3798
604 3800
614 3802
622 3802
630 3803
635 3803
638 3804
640 3805
640 3804
638 3804
634 3803
629 3804
622 3804
614 3802
604 3799
592 3795
580 3790
568 3786
554 3783
540 3778
525 3776
511 3772
496 3767
482 3764
467 3761
454 3757
442 3756
430 3754
420 3753
412 3752
404 3750
398 3750
396 3750
394 3749
394 3750
396 3749
399 3750
405 3749
411 3750
420 3751
430 3755
441 3759
453 3761
466 3765
479 3769
494 3773
509 3779
523 3783
538 3786
552 3789
566 3792
580 3795
592 3798
603 3800
613 3801
623 3803
630 3803
635 3804
640 3805
641 3805
641 3804
640 3804
637 3804
632 3804
625 3803
616 3803
606 3800
596 3796
584 3792
570 3787
557 3783
542 3781
527 3777
512 3773
498 3769
483 3764
468 3762
454 3758
442 3757
430 3754
420 3752
412 3751
404 3750
398 3750
394 3749
392 3749
392 3749
394 3750
396 3749
402 3750
409 3750
417 3751
426 3755
438 3758
450 3761
462 3765
476 3769
491 3773
506 3777
521 3782
537 3785
551 3788
566 3792
578 3795
592 3797
603 3799
614 3801
623 3802
631 3803
636 3803
641 3803
643 3804
643 3804
641 3804
638 3804
633 3804
625 3804
617 3802
608 3798
597 3795
584 3793
572 3788
558 3784
543 3780
529 3776
513 3771
499 3769
483 3766
469 3763
455 3760
442 3756
430 3755
419 3753
410 3752
402 3752
396 3751
393 3750
390 3749
390 3749
392 3749
394 3751
400 3751
406 3751
414 3751
425 3754
436 3757
448 3761
462 3765
476 3769
490 3773
506 3777
521 3781
537 3785
551 3788
565 3791
578 3794
591 3797
602 3800
612 3802
622 3803
628 3804
634 3804
638 3805
640 3805
641 3804
640 3804
636 3804
631 3804
624 3804
616 3802
606 3799
596 3796
584 3791
570 3789
556 3784
542 3780
526 3778
511 3773
497 3769
481 3766
467 3763
453 3760
439 3758
428 3756
417 3754
409 3753
401 3751
396 3751
392 3751
390 3750
390 3750
391 3750
394 3750
399 3750
406 3750
415 3751
425 3754
436 3757
448 3761
461 3766
475 3768
489 3773
505 3776
520 3780
535 3785
550 3788
564 3791
578 3794
590 3796
602 3799
612 3801
622 3802
629 3803
635 3804
639 3804
641 3804
642 3804
640 3805
637 3804
632 3805
625 3804
616 3803
608 3800
596 3796
585 3793
572 3788
559 3785
544 3781
529 3777
514 3775
500 3770
485 3766
471 3763
458 3759
446 3757
434 3754
423 3754
414 3753
406 3751
400 3749
396 3750
394 3750
394 3751
394 3751
398 3751
402 3750
409 3750
418 3750
427 3753
438 3757
449 3760
462 3764
475 3768
490 3772
505 3776
519 3781
533 3785
547 3788
562 3791
574 3794
587 3796
599 3798
609 3800
617 3802
625 3803
631 3804
635 3804
637 3804
637 3804
637 3805
634 3805
629 3804
623 3803
615 3803
606 3800
596 3797
584 3794
572 3789
558 3785
544 3781
531 3777
515 3774
502 3771
487 3767
472 3763
459 3760
446 3757
435 3756
424 3754
416 3753
408 3751
402 3750
397 3749
394 3749
394 3750
394 3750
397 3750
401 3750
408 3751
414 3751
424 3753
434 3757
445 3760
458 3764
471 3768
484 3772
500 3775
513 3780
528 3784
543 3787
557 3791
570 3793
583 3795
596 3797
606 3800
615 3802
623 3803
630 3803
634 3804
637 3804
639 3805
638 3805
635 3805
631 3804
625 3804
617 3803
609 3801
599 3798
588 3794
576 3791
564 3786
550 3782
535 3778
521 3774
507 3772
492 3768
477 3764
464 3760
451 3757
439 3756
428 3754
418 3753
410 3752
404 3750
398 3749
396 3749
394 3750
394 3750
396 3751
401 3750
406 3750
414 3750
423 3752
432 3756
444 3760
456 3764
469 3766
483 3771
498 3775
512 3779
527 3784
541 3787
555 3790
569 3792
582 3795
594 3798
606 3800
615 3801
623 3803
630 3803
634 3803
638 3803
639 3804
639 3804
637 3805
633 3804
627 3804
620 3803
611 3801
601 3799
590 3794
578 3791
564 3788
551 3782
537 3779
521 3776
507 3771
493 3768
478 3764
464 3760
452 3758
439 3755
427 3754
418 3753
409 3752
403 3751
397 3750
394 3750
393 3750
394 3750
396 3750
398 3749
404 3750
412 3750
420 3751
430 3756
442 3757
454 3762
467 3766
481 3770
496 3774
511 3779
525 3783
540 3787
555 3790
568 3793
582 3796
594 3798
606 3801
616 3802
625 3803
632 3803
637 3804
641 3804
642 3805
642 3805
640 3805
636 3804
631 3804
624 3804
615 3802
606 3799
594 3795
582 3790
568 3787
554 3783
540 3779
525 3776
510 3772
496 3767
481 3764
466 3761
452 3758
440 3756
429 3753
418 3753
409 3751
402 3750
396 3749
394 3750
391 3750
391 3750
394 3749
396 3749
402 3750
409 3750
418 3752
427 3755
438 3758
450 3762
464 3767
478 3770
494 3775
509 3779
523 3783
539 3786
554 3789
568 3792
582 3796
594 3798
606 3800
616 3801
625 3803
633 3803
639 3804
642 3804
644 3804
644 3805
642 3804
639 3804
633 3804
625 3804
617 3802
606 3798
595 3795
583 3791
570 3787
556 3784
540 3779
525 3776
509 3772
495 3768
479 3765
465 3761
451 3758
439 3756
427 3754
416 3752
407 3752
400 3750
394 3750
390 3750
388 3750
389 3750
390 3750
394 3751
399 3751
408 3751
416 3751
426 3754
438 3758
451 3761
465 3767
479 3770
494 3774
509 3778
525 3782
540 3786
555 3789
568 3793
582 3795
594 3797
605 3800
615 3802
624 3803
631 3804
637 3803
640 3803
641 3804
642 3804
640 3804
635 3804
631 3803
623 3803
614 3802
604 3798
593 3795
580 3792
566 3787
552 3784
538 3781
523 3777
507 3772
493 3768
477 3764
463 3762
450 3759
437 3757
426 3755
416 3753
408 3752
400 3751
394 3751
392 3750
390 3750
390 3750
393 3750
396 3749
402 3749
409 3750
418 3751
428 3753
439 3758
452 3762
465 3765
479 3768
494 3773
509 3777
523 3782
539 3785
553 3789
568 3792
580 3794
592 3796
604 3799
614 3801
623 3803
630 3803
636 3803
639 3803
641 3803
641 3804
639 3805
635 3804
630 3804
624 3803
614 3801
605 3799
594 3796
582 3793
568 3788
554 3784
540 3781
525 3776
511 3773
496 3770
481 3766
467 3762
453 3759
441 3756
430 3755
420 3753
411 3752
404 3751
398 3750
395 3749
394 3750
394 3750
394 3750
399 3751
404 3750
412 3749
420 3749
430 3753
440 3757
452 3761
465 3765
479 3768
492 3773
507 3777
523 3781
537 3785
551 3788
566 3790
578 3793
592 3796
602 3799
612 3800
621 3802
628 3803
634 3803
637 3803
639 3804
639 3805
638 3805
635 3805
629 3803
623 3803
614 3802
605 3799
594 3797
582 3793
570 3789
556 3784
541 3779
527 3777
513 3773
498 3769
484 3766
470 3761
456 3759
444 3756
432 3755
422 3753
414 3752
406 3751
400 3750
396 3749
394 3750
394 3750
396 3750
398 3750
403 3749
410 3750
418 3750
428 3752
438 3757
449 3760
462 3764
475 3767
489 3772
504 3777
518 3781
533 3785
547 3788
562 3791
574 3794
588 3797
599 3799
609 3801
618 3802
626 3803
632 3803
636 3803
639 3804
639 3804
638 3805
634 3804
630 3804
624 3803
616 3803
607 3799
596 3797
586 3793
573 3789
560 3786
545 3781
532 3778
517 3774
502 3771
487 3767
474 3763
461 3759
448 3757
437 3755
426 3753
417 3752
410 3751
404 3750
399 3749
396 3750
396 3749
396 3751
398 3750
404 3750
410 3750
418 3750
426 3751
436 3755
446 3759
459 3764
471 3768
485 3772
499 3776
513 3779
528 3783
543 3787
556 3790
570 3793
582 3796
594 3798
605 3799
615 3801
623 3802
629 3804
633 3804
637 3804
638 3804
637 3803
635 3804
631 3804
625 3804
618 3804
609 3802
599 3797
588 3794
576 3789
562 3786
549 3783
535 3779
521 3775
506 3770
492 3766
478 3764
464 3761
450 3758
438 3756
428 3753
418 3751
410 3751
403 3751
398 3750
395 3750
394 3750
394 3749
397 3749
401 3749
406 3750
414 3751
422 3751
432 3755
444 3757
456 3761
469 3766
482 3770
497 3775
511 3779
525 3783
540 3786
554 3789
568 3793
582 3796
594 3798
605 3800
615 3801
623 3802
630 3803
635 3804
639 3804
641 3804
639 3804
637 3804
635 3804
629 3805
621 3804
613 3803
603 3798
592 3794
580 3791
568 3787
553 3783
539 3780
525 3776
509 3772
496 3768
481 3764
467 3761
454 3758
442 3756
431 3754
421 3752
412 3750
405 3749
399 3749
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394 3749
394 3750
396 3749
398 3749
404 3749
410 3750
418 3751
428 3755
438 3759
450 3762
463 3766
476 3770
491 3775
506 3779
521 3783
536 3785
551 3788
564 3791
578 3794
590 3797
602 3800
612 3801
621 3802
628 3802
634 3804
638 3804
640 3805
640 3805
638 3804
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630 3804
623 3804
615 3802
606 3799
595 3795
583 3792
570 3787
556 3784
542 3780
527 3776
513 3772
498 3768
482 3765
467 3763
455 3759
441 3757
429 3755
419 3753
411 3751
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397 3751
394 3751
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391 3749
393 3749
396 3750
400 3750
408 3751
416 3751
426 3754
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450 3760
462 3765
477 3769
491 3773
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535 3785
550 3788
564 3792
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638 3803
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558 3784
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514 3773
500 3769
484 3766
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456 3760
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412 3752
404 3751
397 3751
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392 3750
392 3751
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396 3750
402 3750
408 3750
416 3750
426 3753
437 3756
448 3760
461 3764
475 3768
489 3773
504 3776
519 3780
533 3784
548 3788
562 3792
576 3795
588 3797
600 3799
610 3800
619 3803
627 3803
633 3804
638 3804
641 3804
641 3804
640 3804
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625 3804
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608 3799
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585 3793
572 3791
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544 3781
529 3778
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470 3764
456 3761
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431 3754
421 3753
412 3752
404 3751
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392 3749
391 3748
392 3750
395 3750
400 3750
407 3751
415 3750
425 3750
436 3754
447 3759
460 3764
473 3768
488 3773
503 3776
517 3779
532 3783
547 3787
561 3791
574 3794
588 3797
598 3798
610 3799
619 3801
627 3804
633 3805
637 3805
640 3805
641 3804
640 3803
637 3804
633 3805
627 3805
619 3804
610 3800
600 3797
588 3792
576 3790
562 3786
548 3782
533 3780
519 3775
504 3770
489 3767
474 3763
460 3760
447 3758
435 3756
425 3754
415 3752
407 3750
400 3751
395 3751
393 3750
391 3750
392 3750
394 3750
397 3750
404 3750
412 3751
420 3752
430 3755
442 3758
454 3763
468 3767
482 3771
497 3775
511 3779
526 3783
541 3787
555 3790
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582 3796
594 3799
605 3800
615 3801
623 3802
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637 3804
638 3805
638 3804
635 3803
631 3803
626 3804
618 3803
609 3802
599 3798
588 3795
576 3790
563 3786
549 3783
535 3779
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476 3764
462 3761
450 3759
437 3757
426 3754
415 3752
407 3751
401 3751
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393 3751
391 3750
393 3749
394 3749
398 3750
405 3751
411 3751
421 3752
431 3754
443 3757
455 3762
468 3766
482 3770
497 3774
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540 3786
554 3789
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580 3796
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603 3800
612 3802
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639 3804
638 3804
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399 3750
395 3750
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394 3750
395 3749
399 3750
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420 3750
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452 3759
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478 3768
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506 3776
521 3781
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549 3788
562 3791
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609 3800
617 3803
625 3804
631 3804
635 3805
637 3804
637 3804
637 3804
633 3803
629 3804
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615 3803
605 3799
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557 3785
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416 3752
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396 3750
396 3750
399 3750
404 3751
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439 3756
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410 3752
403 3752
398 3752
396 3751
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398 3750
403 3750
409 3751
416 3751
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483 3771
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511 3778
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540 3785
554 3789
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602 3799
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401 3751
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398 3749
401 3750
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478 3770
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535 3786
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562 3792
576 3796
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600 3799
609 3801
619 3803
626 3803
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637 3804
639 3804
639 3804
638 3804
635 3804
631 3805
624 3803
616 3802
607 3799
596 3795
586 3791
572 3788
560 3783
545 3779
0.0125 0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/druhy2.vcm
0,0 → 1,980
VCMOT1
t
s
0 11.7875 5 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
2 944
577 3789
608 3792
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367 3755
339 3753
314 3751
293 3749
276 3747
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253 3746
261 3746
274 3745
292 3747
311 3748
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392 3760
424 3765
457 3771
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687 3801
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356 3754
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251 3746
257 3747
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319 3749
344 3754
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402 3765
434 3768
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287 3746
306 3748
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385 3761
415 3766
448 3770
482 3776
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585 3789
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729 3805
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779 3810
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687 3795
659 3792
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561 3777
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457 3765
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391 3758
361 3754
334 3751
310 3749
288 3748
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259 3747
250 3746
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262 3747
276 3747
294 3747
315 3749
340 3755
368 3757
397 3765
430 3769
464 3773
500 3778
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694 3802
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644 3788
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316 3750
294 3748
275 3746
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244 3746
242 3746
245 3746
252 3746
264 3746
280 3746
301 3747
324 3753
351 3757
381 3761
413 3766
447 3771
482 3777
518 3781
553 3786
589 3789
623 3794
656 3797
685 3800
713 3803
737 3805
757 3807
773 3808
785 3809
792 3808
795 3809
793 3808
786 3809
775 3808
759 3808
739 3803
717 3800
689 3794
660 3790
628 3786
594 3782
558 3777
0.0125 0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/druhy3.vcm
0,0 → 1,857
VCMOT1
t
s
0 10.25 5 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
2 821
665 3759
678 3758
686 3757
690 3758
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650 3757
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610 3761
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316 3792
310 3794
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318 3793
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358 3794
378 3794
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425 3787
452 3785
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692 3758
688 3759
680 3758
669 3759
654 3758
635 3759
613 3760
589 3764
564 3768
536 3771
508 3775
480 3778
452 3782
425 3784
400 3785
377 3788
358 3790
338 3792
324 3793
313 3793
306 3794
304 3794
306 3794
312 3794
322 3794
336 3794
352 3794
372 3794
395 3792
419 3788
445 3786
473 3781
502 3778
530 3774
558 3771
584 3769
608 3766
631 3764
649 3762
665 3761
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686 3759
691 3758
692 3759
688 3758
681 3758
669 3758
654 3759
636 3759
614 3760
590 3762
564 3766
537 3771
509 3774
481 3777
453 3780
427 3782
401 3784
378 3787
356 3789
338 3791
324 3792
313 3793
306 3792
303 3793
305 3793
310 3793
319 3794
332 3793
349 3793
368 3792
390 3791
415 3789
442 3785
469 3781
499 3778
527 3773
555 3770
582 3768
606 3764
629 3763
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665 3759
678 3757
687 3758
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691 3757
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662 3756
644 3757
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573 3765
546 3769
518 3772
489 3775
461 3779
433 3781
405 3784
381 3787
360 3788
342 3789
326 3791
315 3791
307 3792
304 3793
304 3793
310 3792
318 3793
330 3792
346 3792
365 3793
386 3792
411 3788
437 3783
465 3780
494 3777
522 3773
550 3770
578 3768
603 3764
626 3763
646 3760
663 3759
677 3758
687 3758
693 3758
695 3758
693 3758
688 3756
678 3756
665 3757
647 3758
627 3758
603 3763
577 3764
551 3769
523 3771
494 3775
466 3779
438 3782
409 3784
386 3786
364 3789
344 3790
329 3791
317 3792
308 3792
305 3792
303 3792
308 3793
316 3792
327 3793
342 3793
361 3793
382 3792
407 3788
433 3783
461 3780
489 3777
517 3773
545 3771
572 3768
597 3765
620 3764
640 3761
658 3760
672 3760
683 3761
689 3760
693 3759
691 3758
686 3758
676 3759
664 3760
646 3759
626 3761
603 3764
579 3767
552 3771
524 3773
496 3778
468 3781
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414 3786
390 3788
368 3791
350 3792
332 3793
319 3794
310 3794
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306 3794
310 3795
318 3795
328 3794
343 3794
361 3794
383 3794
407 3789
431 3785
459 3782
487 3778
516 3774
543 3773
570 3770
594 3767
618 3765
639 3761
656 3761
671 3760
681 3759
690 3759
692 3759
691 3759
686 3758
676 3759
664 3759
646 3760
627 3761
605 3765
580 3767
554 3770
526 3773
499 3778
470 3781
443 3785
417 3786
393 3788
371 3790
350 3792
334 3795
322 3795
312 3794
307 3794
307 3796
310 3796
316 3795
326 3794
341 3794
359 3795
381 3795
403 3790
428 3785
456 3783
484 3779
513 3777
540 3773
566 3769
591 3766
617 3765
638 3763
656 3762
670 3761
681 3759
687 3759
691 3759
690 3759
686 3761
677 3760
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646 3758
628 3760
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528 3774
500 3778
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417 3787
393 3789
371 3790
352 3792
336 3794
324 3795
316 3795
310 3794
309 3794
312 3795
320 3795
330 3795
344 3795
360 3794
381 3793
404 3789
429 3787
455 3783
483 3778
510 3776
538 3772
564 3769
589 3767
612 3765
633 3763
650 3760
665 3760
676 3759
683 3760
686 3760
685 3759
683 3759
674 3759
662 3759
646 3759
628 3760
606 3763
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557 3769
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475 3781
448 3783
421 3785
398 3790
377 3791
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338 3791
326 3793
318 3796
312 3797
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312 3793
318 3794
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360 3793
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480 3779
509 3776
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663 3761
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319 3794
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322 3794
332 3794
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362 3794
382 3795
404 3791
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454 3782
482 3780
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562 3772
586 3768
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647 3760
663 3760
673 3761
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683 3758
683 3758
679 3760
671 3760
658 3758
642 3757
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605 3764
582 3767
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502 3774
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448 3784
422 3788
396 3789
374 3790
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340 3794
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681 3756
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422 3785
398 3788
375 3790
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341 3793
329 3795
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315 3795
314 3795
316 3795
324 3795
334 3794
348 3794
364 3794
383 3794
407 3792
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456 3784
482 3780
509 3775
536 3773
562 3770
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610 3764
629 3762
647 3761
663 3760
674 3761
681 3760
684 3758
683 3758
678 3758
671 3758
659 3759
643 3760
625 3760
603 3762
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502 3777
475 3780
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423 3785
398 3787
378 3790
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343 3793
328 3794
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315 3794
314 3794
317 3795
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334 3795
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383 3794
405 3791
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483 3780
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588 3769
610 3766
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673 3760
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683 3761
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658 3758
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446 3784
420 3786
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356 3790
340 3793
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332 3795
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404 3790
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675 3760
683 3760
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686 3758
682 3759
674 3758
662 3759
647 3760
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557 3767
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474 3779
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311 3795
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677 3760
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341 3793
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344 3794
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395 3792
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526 3774
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602 3766
624 3764
643 3761
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672 3759
680 3758
0.0125 0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/druhy4.vcm
0,0 → 1,1100
VCMOT1
t
s
0 13.2875 5 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
2 1064
461 3765
469 3768
478 3771
487 3774
495 3778
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514 3786
522 3788
530 3790
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546 3796
552 3799
559 3801
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580 3804
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568 3803
562 3802
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423 3752
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448 3757
456 3761
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481 3771
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550 3797
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563 3801
568 3802
573 3803
576 3803
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571 3803
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548 3796
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532 3787
524 3784
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497 3774
488 3771
479 3768
471 3764
461 3761
453 3759
446 3757
439 3756
433 3754
427 3753
422 3752
419 3752
417 3752
415 3752
415 3752
415 3751
417 3751
421 3752
424 3752
429 3753
433 3754
441 3754
447 3758
455 3761
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471 3768
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489 3776
499 3780
508 3783
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525 3790
534 3793
542 3795
550 3798
556 3799
562 3801
568 3801
572 3803
576 3803
579 3803
580 3804
580 3803
580 3803
578 3803
576 3804
572 3804
568 3802
562 3802
556 3797
550 3795
543 3791
534 3788
526 3784
517 3780
508 3777
498 3773
489 3770
480 3768
471 3764
462 3762
453 3760
445 3757
439 3756
432 3754
427 3753
421 3753
418 3752
415 3752
414 3751
413 3751
414 3751
415 3752
419 3752
423 3753
427 3753
433 3753
439 3755
447 3758
455 3761
463 3766
471 3769
480 3772
489 3775
499 3779
508 3783
517 3788
526 3790
535 3792
543 3795
551 3798
558 3799
564 3801
570 3802
574 3803
578 3803
580 3803
582 3803
582 3803
582 3804
580 3804
577 3804
574 3803
568 3803
562 3802
556 3798
550 3795
542 3791
534 3788
524 3783
516 3780
507 3777
496 3775
487 3771
478 3767
468 3764
460 3760
451 3758
443 3758
436 3756
429 3754
423 3754
419 3753
415 3752
413 3752
411 3752
411 3752
412 3752
415 3752
417 3752
421 3753
427 3753
433 3753
439 3754
447 3758
455 3761
463 3766
472 3770
481 3773
490 3776
500 3781
509 3784
519 3787
528 3790
536 3793
546 3796
553 3798
560 3800
566 3801
572 3803
576 3804
580 3803
582 3803
584 3803
584 3802
582 3803
580 3803
576 3803
572 3803
568 3803
562 3800
554 3797
548 3795
540 3791
531 3787
522 3783
513 3780
503 3777
493 3773
484 3771
474 3767
465 3763
457 3762
448 3758
441 3757
433 3755
427 3754
423 3753
417 3752
415 3752
411 3752
411 3752
411 3752
411 3753
414 3752
417 3752
422 3752
427 3753
433 3753
441 3756
449 3759
457 3763
465 3767
474 3770
483 3774
493 3777
503 3781
513 3786
522 3788
531 3790
540 3793
548 3796
556 3797
562 3800
568 3801
574 3802
578 3802
580 3802
582 3803
584 3803
584 3804
582 3803
580 3803
576 3802
572 3802
566 3802
560 3801
552 3798
546 3795
537 3790
528 3786
520 3784
511 3779
501 3777
491 3774
481 3769
473 3767
463 3763
455 3760
447 3759
439 3757
433 3755
427 3754
421 3753
417 3752
414 3752
413 3752
411 3753
411 3753
413 3753
415 3753
419 3752
425 3752
431 3753
436 3753
443 3756
451 3759
459 3763
468 3766
477 3770
486 3774
495 3778
505 3782
514 3785
523 3789
532 3791
541 3794
548 3796
556 3798
562 3799
568 3801
572 3803
576 3803
580 3803
582 3803
582 3803
582 3803
580 3803
578 3803
574 3804
570 3803
564 3802
558 3800
552 3797
544 3794
536 3790
528 3786
519 3782
510 3778
501 3776
491 3772
482 3770
473 3766
463 3763
455 3761
447 3758
440 3757
433 3756
427 3754
423 3753
419 3752
415 3752
413 3752
413 3753
413 3752
415 3752
417 3751
421 3752
425 3752
431 3753
437 3753
445 3756
451 3759
460 3763
469 3767
0.0125 0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/druhy5.vcm
0,0 → 1,890
VCMOT1
t
s
0 10.6625 5 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
2 854
501 3775
515 3771
528 3768
540 3765
552 3762
562 3760
570 3758
576 3758
580 3757
584 3756
584 3756
582 3757
578 3756
573 3757
566 3757
557 3757
546 3761
534 3765
522 3768
509 3773
495 3777
482 3781
469 3785
457 3787
445 3790
435 3793
427 3794
419 3796
415 3797
411 3797
411 3797
413 3797
415 3797
421 3798
428 3798
437 3797
447 3794
459 3789
471 3785
484 3781
497 3777
511 3774
525 3769
537 3766
548 3763
558 3761
567 3760
574 3759
579 3757
582 3757
584 3757
582 3756
580 3758
574 3757
568 3757
559 3757
549 3758
537 3763
525 3768
512 3772
498 3775
484 3780
471 3783
458 3787
447 3789
436 3792
427 3794
420 3796
415 3796
411 3797
409 3796
411 3797
413 3797
418 3797
425 3798
433 3797
443 3795
455 3791
467 3787
480 3782
494 3780
508 3776
522 3771
534 3768
546 3765
558 3762
567 3761
574 3758
580 3757
584 3757
586 3756
586 3757
584 3758
579 3758
572 3757
564 3756
554 3757
543 3761
530 3766
517 3769
503 3773
488 3778
475 3781
461 3785
449 3788
437 3791
427 3794
419 3794
413 3796
409 3796
407 3796
406 3797
407 3797
411 3797
418 3797
425 3797
435 3796
447 3794
459 3789
473 3785
487 3781
502 3776
517 3772
530 3769
544 3765
555 3764
566 3762
575 3759
582 3757
587 3756
590 3756
590 3757
589 3758
586 3758
580 3757
573 3757
563 3757
552 3757
540 3764
527 3768
513 3772
497 3775
483 3779
468 3783
455 3787
443 3789
431 3792
422 3794
414 3795
407 3796
403 3797
402 3798
403 3798
405 3797
411 3797
418 3796
427 3796
437 3796
450 3792
463 3788
477 3783
492 3779
507 3775
522 3771
536 3769
548 3765
560 3762
571 3760
580 3758
586 3757
591 3757
593 3757
593 3757
591 3756
587 3756
580 3756
572 3757
562 3758
550 3762
537 3766
523 3769
509 3772
493 3777
479 3782
465 3785
451 3788
439 3790
427 3793
418 3794
411 3796
406 3797
403 3796
402 3797
403 3797
407 3797
411 3798
419 3797
429 3797
440 3794
453 3790
467 3785
481 3782
496 3776
511 3772
525 3770
538 3766
552 3763
563 3760
572 3759
580 3758
586 3757
590 3757
592 3757
592 3757
589 3756
584 3757
578 3756
568 3757
558 3760
546 3764
532 3767
518 3772
504 3776
489 3779
475 3783
461 3787
448 3789
436 3792
426 3794
417 3796
411 3796
407 3796
404 3797
403 3796
405 3796
409 3797
416 3797
424 3798
433 3796
445 3791
459 3786
472 3782
486 3778
501 3776
516 3771
530 3767
543 3765
554 3761
564 3759
574 3759
580 3758
585 3758
588 3757
589 3756
588 3756
584 3757
578 3757
572 3758
562 3759
551 3762
539 3765
525 3770
511 3773
497 3779
483 3783
469 3786
457 3788
NAN NAN
433 3792
425 3795
417 3797
412 3797
409 3797
407 3796
409 3796
411 3797
417 3797
423 3798
433 3797
443 3792
455 3789
467 3784
481 3781
495 3777
509 3773
522 3769
536 3765
548 3761
558 3760
567 3759
574 3758
580 3757
584 3757
585 3757
585 3756
582 3757
578 3758
571 3757
562 3758
552 3760
541 3765
528 3769
515 3773
501 3776
487 3781
473 3784
461 3787
449 3790
438 3793
428 3795
421 3797
415 3797
411 3797
409 3797
409 3796
411 3797
417 3797
423 3797
431 3797
441 3796
451 3790
464 3786
477 3783
490 3778
505 3774
518 3771
531 3766
543 3763
554 3760
563 3759
571 3759
578 3757
582 3756
584 3757
584 3756
582 3756
578 3757
572 3757
564 3757
555 3758
545 3762
532 3765
519 3771
507 3774
492 3778
479 3783
465 3785
453 3788
442 3792
432 3795
423 3796
417 3797
413 3797
409 3797
409 3798
411 3798
415 3798
421 3798
428 3797
437 3796
448 3793
460 3789
473 3785
486 3780
501 3777
514 3772
528 3768
541 3765
552 3762
562 3761
570 3759
577 3756
582 3756
584 3756
586 3756
584 3757
580 3757
576 3756
568 3756
559 3756
548 3759
536 3763
524 3769
511 3772
496 3776
482 3780
469 3784
457 3787
445 3791
434 3793
425 3794
419 3796
413 3796
410 3797
409 3798
410 3798
413 3798
419 3798
425 3797
434 3797
444 3795
455 3792
468 3786
482 3783
496 3779
510 3774
523 3771
536 3767
548 3764
559 3762
568 3759
576 3758
582 3757
584 3756
586 3757
586 3756
583 3756
578 3757
572 3756
564 3757
554 3758
543 3762
530 3766
516 3769
503 3774
488 3778
475 3782
461 3786
449 3788
439 3790
429 3794
421 3795
415 3796
411 3797
409 3797
409 3796
411 3797
415 3797
421 3797
430 3797
439 3797
450 3792
463 3787
476 3785
490 3780
504 3776
518 3773
532 3769
544 3766
556 3763
566 3760
574 3759
580 3758
585 3757
587 3757
588 3756
586 3757
582 3758
576 3757
568 3757
558 3758
547 3760
535 3764
522 3769
508 3774
493 3777
479 3780
465 3784
453 3787
441 3790
430 3793
422 3794
415 3795
409 3796
407 3796
406 3797
407 3797
411 3797
417 3797
424 3796
433 3796
444 3793
457 3790
469 3786
483 3781
497 3778
513 3772
526 3769
539 3767
551 3764
562 3762
570 3760
578 3759
584 3758
587 3757
588 3757
588 3758
584 3758
580 3757
572 3758
564 3758
553 3759
541 3763
529 3768
515 3772
500 3776
485 3779
471 3783
458 3787
445 3790
434 3792
425 3794
417 3795
411 3796
407 3796
405 3796
405 3797
407 3798
412 3797
419 3797
427 3796
437 3795
449 3791
461 3787
475 3783
489 3780
504 3774
518 3771
532 3767
545 3765
556 3763
566 3760
575 3758
582 3758
586 3757
589 3756
590 3757
588 3757
584 3757
578 3757
570 3757
560 3759
548 3762
536 3766
523 3769
509 3774
495 3778
480 3781
467 3785
453 3788
441 3791
431 3793
421 3794
413 3796
409 3797
406 3798
405 3797
406 3798
409 3797
415 3796
422 3797
431 3797
443 3794
455 3789
468 3785
482 3780
496 3776
511 3773
524 3769
538 3766
550 3763
562 3760
571 3758
578 3757
584 3757
588 3756
589 3757
588 3757
586 3755
581 3756
574 3756
566 3757
555 3759
544 3763
530 3768
516 3772
502 3776
488 3780
474 3783
460 3788
448 3790
436 3792
426 3794
419 3795
413 3797
408 3797
406 3797
406 3798
409 3797
413 3798
419 3797
428 3796
438 3795
449 3792
462 3786
475 3782
488 3779
503 3775
517 3771
531 3767
544 3764
555 3761
565 3760
574 3759
580 3757
584 3756
588 3756
588 3756
586 3756
582 3756
576 3757
568 3757
559 3758
548 3762
536 3766
523 3769
509 3774
495 3779
481 3782
467 3786
455 3788
443 3791
433 3794
423 3795
417 3796
412 3797
409 3797
409 3797
409 3798
413 3797
419 3798
425 3797
435 3797
445 3793
457 3789
470 3785
483 3781
497 3777
511 3773
524 3769
536 3766
548 3763
560 3761
568 3759
575 3759
581 3757
584 3756
585 3757
584 3756
581 3757
576 3757
570 3757
560 3758
550 3759
539 3764
527 3768
513 3773
499 3776
485 3781
472 3784
459 3787
447 3790
436 3792
427 3795
419 3796
415 3796
411 3797
409 3796
409 3797
412 3798
417 3798
423 3797
432 3797
443 3795
453 3791
466 3787
479 3782
493 3779
507 3775
520 3770
534 3768
545 3764
556 3762
566 3760
574 3759
580 3757
583 3757
585 3756
584 3757
583 3757
578 3757
572 3757
564 3756
555 3758
543 3761
531 3766
518 3770
505 3774
490 3779
477 3783
463 3787
451 3788
439 3791
431 3793
423 3796
416 3797
411 3797
409 3797
409 3796
411 3797
415 3797
421 3797
429 3797
439 3796
450 3792
462 3788
475 3784
488 3780
503 3775
516 3772
530 3768
543 3764
554 3762
564 3760
572 3758
578 3757
583 3757
585 3757
586 3757
584 3757
581 3757
575 3757
567 3757
558 3758
548 3761
536 3765
522 3769
509 3773
494 3777
480 3781
467 3785
454 3788
443 3790
432 3793
423 3795
417 3796
411 3797
409 3797
407 3798
409 3797
411 3797
417 3797
425 3797
433 3797
443 3795
456 3790
469 3786
483 3780
497 3777
511 3774
524 3770
537 3767
549 3763
560 3760
569 3758
576 3757
582 3757
586 3757
587 3757
586 3756
584 3756
579 3756
572 3756
563 3757
553 3759
541 3763
528 3767
515 3771
501 3775
487 3780
473 3782
459 3787
447 3789
437 3793
427 3794
419 3795
413 3797
409 3797
407 3798
407 3798
409 3797
414 3797
420 3797
428 3797
438 3797
450 3793
462 3788
476 3783
490 3780
504 3774
518 3771
532 3769
544 3765
556 3763
566 3760
574 3758
581 3756
586 3756
588 3756
588 3757
586 3757
582 3756
576 3755
568 3756
559 3758
548 3762
536 3765
522 3768
509 3773
494 3776
480 3781
466 3785
453 3788
441 3791
431 3793
422 3794
415 3795
409 3796
407 3797
406 3797
407 3797
411 3796
416 3797
423 3796
433 3797
443 3794
455 3789
469 3786
483 3780
497 3776
511 3773
525 3770
538 3766
550 3763
0.0125 0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/dynamik.txt
0,0 → 1,946
VCMOT1
t
s
0 11.3625 5 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
1 910
1435
1417
1415
1432
1466
1516
1579
1655
1741
1831
1927
2020
2110
2192
2265
2325
2370
2399
2410
2405
2382
2342
2287
2218
2140
2052
1961
1868
1777
1692
1614
1548
1496
1458
1436
1432
1446
1476
1522
1582
1653
1735
1822
1912
2003
2091
2172
2242
2302
2348
2378
2392
2388
2368
2332
2281
2217
2142
2059
1972
1882
1794
1710
1634
1569
1516
1478
1454
1448
1459
1486
1528
1585
1652
1729
1813
1900
1988
2073
2152
2222
2282
2328
2360
2374
2374
2356
2323
2277
2214
2143
2064
1980
1893
1808
1727
1653
1589
1536
1498
1474
1466
1474
1499
1537
1589
1652
1725
1804
1888
1972
2054
2132
2201
2259
2306
2339
2356
2357
2343
2313
2270
2213
2147
2071
1991
1908
1824
1745
1673
1609
1556
1516
1492
1482
1487
1508
1544
1593
1653
1722
1798
1880
1962
2041
2117
2185
2243
2289
2321
2339
2343
2331
2303
2262
2209
2145
2072
1996
1916
1835
1758
1687
1625
1573
1533
1508
1497
1501
1520
1553
1599
1657
1723
1795
1873
1952
2029
2102
2168
2226
2272
2305
2324
2328
2318
2292
2254
2204
2144
2074
2000
1924
1847
1771
1703
1641
1591
1551
1524
1512
1514
1532
1562
1605
1659
1723
1793
1867
1944
2020
2091
2156
2212
2258
2290
2310
2314
2306
2284
2247
2199
2141
2074
2004
1928
1854
1780
1714
1653
1602
1563
1537
1523
1525
1540
1569
1610
1662
1723
1790
1863
1938
2010
2079
2144
2198
2244
2278
2297
2303
2296
2275
2240
2194
2139
2075
2006
1934
1860
1790
1724
1665
1615
1576
1549
1536
1537
1551
1578
1617
1667
1725
1790
1860
1931
2002
2069
2131
2184
2230
2262
2282
2290
2283
2264
2232
2189
2136
2074
2008
1938
1868
1800
1735
1677
1629
1590
1564
1550
1548
1562
1586
1623
1669
1725
1788
1855
1925
1994
2060
2120
2174
2218
2250
2272
2280
2275
2256
2226
2185
2134
2074
2010
1942
1874
1808
1744
1688
1639
1601
1574
1560
1558
1569
1593
1627
1673
1727
1787
1852
1919
1986
2051
2110
2162
2206
2238
2260
2269
2265
2248
2220
2180
2132
2075
2013
1947
1880
1815
1754
1698
1650
1613
1585
1571
1567
1577
1599
1633
1677
1728
1787
1850
1915
1981
2044
2102
2154
2196
2228
2250
2260
2256
2240
2214
2176
2128
2074
2014
1950
1884
1820
1760
1706
1659
1621
1595
1579
1577
1585
1605
1638
1679
1729
1786
1847
1911
1975
2037
2094
2144
2187
2220
2240
2250
2248
2234
2208
2172
2126
2074
2015
1953
1889
1827
1768
1715
1669
1631
1605
1589
1585
1593
1613
1643
1683
1731
1785
1845
1907
1969
2029
2084
2134
2176
2209
2230
2240
2239
2226
2202
2168
2124
2073
2017
1957
1896
1835
1777
1725
1681
1643
1615
1599
1595
1601
1619
1648
1686
1732
1785
1841
1902
1963
2021
2075
2125
2166
2198
2220
2231
2231
2220
2196
2164
2122
2073
2019
1960
1901
1841
1785
1733
1689
1652
1625
1609
1603
1609
1625
1653
1689
1733
1784
1839
1897
1957
2015
2067
2116
2156
2189
2211
2222
2223
2213
2191
2160
2120
2073
2020
1963
1905
1847
1792
1741
1697
1661
1634
1617
1611
1617
1631
1657
1693
1735
1784
1838
1895
1952
2008
2061
2108
2148
2180
2202
2214
2215
2206
2185
2156
2118
2072
2021
1966
1909
1853
1799
1750
1707
1671
1644
1627
1621
1625
1639
1663
1697
1738
1785
1837
1892
1948
2003
2054
2100
2140
2171
2193
2206
2206
2198
2179
2150
2114
2069
2020
1967
1912
1857
1804
1756
1713
1678
1651
1635
1627
1631
1645
1669
1700
1739
1786
1837
1891
1944
1997
2048
2093
2132
2162
2185
2198
2200
2192
2174
2148
2112
2068
2022
1970
1915
1861
1810
1763
1721
1686
1659
1643
1635
1637
1651
1673
1704
1742
1786
1835
1887
1940
1992
2042
2086
2124
2155
2178
2190
2192
2186
2168
2142
2108
2067
2020
1970
1918
1866
1816
1769
1728
1693
1667
1651
1641
1645
1657
1677
1707
1743
1785
1833
1885
1937
1987
2034
2078
2118
2148
2169
2182
2186
2180
2163
2138
2106
2065
2021
1972
1921
1871
1821
1775
1735
1701
1675
1657
1650
1652
1663
1682
1710
1746
1788
1834
1883
1933
1983
2030
2073
2109
2139
2161
2174
2178
2171
2156
2133
2102
2063
2020
1973
1924
1875
1826
1781
1743
1709
1683
1665
1657
1659
1667
1687
1715
1748
1787
1832
1881
1929
1977
2023
2065
2103
2133
2154
2167
2172
2167
2152
2129
2098
2062
2020
1973
1925
1877
1829
1785
1747
1713
1688
1671
1663
1663
1673
1691
1717
1751
1789
1832
1879
1927
1974
2019
2060
2096
2126
2147
2160
2165
2161
2147
2125
2097
2061
2020
1975
1928
1881
1836
1792
1752
1720
1696
1678
1668
1668
1677
1695
1719
1751
1790
1832
1877
1924
1971
2015
2056
2090
2120
2141
2154
2159
2155
2143
2122
2094
2059
2020
1977
1931
1884
1840
1798
1760
1728
1702
1685
1676
1675
1683
1700
1724
1755
1791
1833
1876
1921
1967
2010
2049
2084
2112
2133
2147
2152
2148
2136
2116
2090
2056
2018
1976
1932
1888
1844
1803
1766
1735
1711
1693
1684
1683
1690
1705
1728
1757
1793
1833
1875
1919
1963
2004
2043
2077
2105
2126
2140
2146
2142
2131
2112
2087
2055
2018
1977
1935
1891
1849
1809
1773
1742
1718
1701
1691
1690
1697
1711
1732
1761
1794
1832
1873
1916
1959
2000
2037
2071
2098
2120
0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/pohl(bez).lab
0,0 → 1,1040
CL4
180 0.1
Index
n
0 1001 500 0 0 0 0 1 0 0 0 0 0 1001 1 1
Time
t
s
0 10 5 0 2 0 0 1 0 0 0 0 0 0 1 1
Frequency
f
Hz
0 50 10 0 2 0 0 1 1000 0 0 0 0 0 1 1
1 1
524032 1 0 1
1 0 0 0 1 0 0 1 1 0 0 0.1 0 0 0 2500 0 0 0 1 883 -5 297 140 0.4848484848 0 0 1
Path
s_A1
m
-1 1 1 0 3 0 0 1 0 1 1 0 0 1.845 1 1
3 1001
1 0 1.767
2 0.01 1.769
3 0.02 1.772
4 0.03 1.774
5 0.04 1.777
6 0.05 1.78
7 0.06 1.782
8 0.07 1.785
9 0.08 1.788
10 0.09 1.791
11 0.1 1.794
12 0.11 1.797
13 0.12 1.8
14 0.13 1.804
15 0.14 1.806
16 0.15 1.81
17 0.16 1.813
18 0.17 1.817
19 0.18 1.82
20 0.19 1.823
21 0.2 1.826
22 0.21 1.83
23 0.22 1.833
24 0.23 1.837
25 0.24 1.841
26 0.25 1.844
27 0.26 1.848
28 0.27 1.851
29 0.28 1.854
30 0.29 1.858
31 0.3 1.861
32 0.31 1.865
33 0.32 1.869
34 0.33 1.872
35 0.34 1.875
36 0.35 1.878
37 0.36 1.882
38 0.37 1.885
39 0.38 1.888
40 0.39 1.892
41 0.4 1.894
42 0.41 1.897
43 0.42 1.9
44 0.43 1.904
45 0.44 1.906
46 0.45 1.909
47 0.46 1.912
48 0.47 1.914
49 0.48 1.917
50 0.49 1.919
51 0.5 1.921
52 0.51 1.924
53 0.52 1.925
54 0.53 1.928
55 0.54 1.929
56 0.55 1.931
57 0.56 1.933
58 0.57 1.934
59 0.58 1.936
60 0.59 1.937
61 0.6 1.938
62 0.61 1.94
63 0.62 1.941
64 0.63 1.941
65 0.64 1.942
66 0.65 1.943
67 0.66 1.944
68 0.67 1.944
69 0.68 1.944
70 0.69 1.944
71 0.7 1.944
72 0.71 1.944
73 0.72 1.944
74 0.73 1.944
75 0.74 1.944
76 0.75 1.943
77 0.76 1.942
78 0.77 1.941
79 0.78 1.94
80 0.79 1.94
81 0.8 1.938
82 0.81 1.937
83 0.82 1.936
84 0.83 1.934
85 0.84 1.932
86 0.85 1.93
87 0.86 1.929
88 0.87 1.927
89 0.88 1.925
90 0.89 1.923
91 0.9 1.921
92 0.91 1.918
93 0.92 1.916
94 0.93 1.913
95 0.94 1.911
96 0.95 1.908
97 0.96 1.905
98 0.97 1.902
99 0.98 1.9
100 0.99 1.897
101 1 1.894
102 1.01 1.891
103 1.02 1.888
104 1.03 1.885
105 1.04 1.881
106 1.05 1.878
107 1.06 1.875
108 1.07 1.872
109 1.08 1.868
110 1.09 1.865
111 1.1 1.861
112 1.11 1.858
113 1.12 1.854
114 1.13 1.851
115 1.14 1.848
116 1.15 1.844
117 1.16 1.841
118 1.17 1.837
119 1.18 1.834
120 1.19 1.83
121 1.2 1.827
122 1.21 1.824
123 1.22 1.82
124 1.23 1.817
125 1.24 1.814
126 1.25 1.81
127 1.26 1.807
128 1.27 1.804
129 1.28 1.801
130 1.29 1.798
131 1.3 1.795
132 1.31 1.792
133 1.32 1.789
134 1.33 1.786
135 1.34 1.784
136 1.35 1.781
137 1.36 1.779
138 1.37 1.776
139 1.38 1.774
140 1.39 1.772
141 1.4 1.769
142 1.41 1.767
143 1.42 1.765
144 1.43 1.764
145 1.44 1.762
146 1.45 1.76
147 1.46 1.758
148 1.47 1.757
149 1.48 1.756
150 1.49 1.754
151 1.5 1.753
152 1.51 1.752
153 1.52 1.751
154 1.53 1.75
155 1.54 1.749
156 1.55 1.749
157 1.56 1.748
158 1.57 1.748
159 1.58 1.748
160 1.59 1.748
161 1.6 1.748
162 1.61 1.748
163 1.62 1.748
164 1.63 1.748
165 1.64 1.749
166 1.65 1.749
167 1.66 1.75
168 1.67 1.751
169 1.68 1.752
170 1.69 1.753
171 1.7 1.754
172 1.71 1.756
173 1.72 1.757
174 1.73 1.758
175 1.74 1.76
176 1.75 1.761
177 1.76 1.764
178 1.77 1.765
179 1.78 1.767
180 1.79 1.769
181 1.8 1.772
182 1.81 1.774
183 1.82 1.776
184 1.83 1.778
185 1.84 1.781
186 1.85 1.784
187 1.86 1.786
188 1.87 1.789
189 1.88 1.792
190 1.89 1.795
191 1.9 1.798
192 1.91 1.801
193 1.92 1.804
194 1.93 1.807
195 1.94 1.81
196 1.95 1.813
197 1.96 1.816
198 1.97 1.82
199 1.98 1.823
200 1.99 1.826
201 2 1.829
202 2.01 1.833
203 2.02 1.836
204 2.03 1.84
205 2.04 1.843
206 2.05 1.846
207 2.06 1.849
208 2.07 1.853
209 2.08 1.856
210 2.09 1.86
211 2.1 1.863
212 2.11 1.866
213 2.12 1.87
214 2.13 1.873
215 2.14 1.876
216 2.15 1.879
217 2.16 1.882
218 2.17 1.885
219 2.18 1.889
220 2.19 1.892
221 2.2 1.894
222 2.21 1.897
223 2.22 1.9
224 2.23 1.903
225 2.24 1.905
226 2.25 1.908
227 2.26 1.91
228 2.27 1.913
229 2.28 1.915
230 2.29 1.917
231 2.3 1.92
232 2.31 1.921
233 2.32 1.924
234 2.33 1.925
235 2.34 1.927
236 2.35 1.929
237 2.36 1.93
238 2.37 1.932
239 2.38 1.933
240 2.39 1.934
241 2.4 1.936
242 2.41 1.937
243 2.42 1.937
244 2.43 1.938
245 2.44 1.939
246 2.45 1.94
247 2.46 1.94
248 2.47 1.94
249 2.48 1.94
250 2.49 1.94
251 2.5 1.94
252 2.51 1.94
253 2.52 1.94
254 2.53 1.94
255 2.54 1.939
256 2.55 1.938
257 2.56 1.938
258 2.57 1.937
259 2.58 1.936
260 2.59 1.935
261 2.6 1.934
262 2.61 1.932
263 2.62 1.931
264 2.63 1.929
265 2.64 1.928
266 2.65 1.926
267 2.66 1.924
268 2.67 1.922
269 2.68 1.92
270 2.69 1.918
271 2.7 1.916
272 2.71 1.914
273 2.72 1.912
274 2.73 1.909
275 2.74 1.906
276 2.75 1.904
277 2.76 1.901
278 2.77 1.898
279 2.78 1.896
280 2.79 1.893
281 2.8 1.89
282 2.81 1.887
283 2.82 1.884
284 2.83 1.881
285 2.84 1.878
286 2.85 1.874
287 2.86 1.872
288 2.87 1.868
289 2.88 1.865
290 2.89 1.862
291 2.9 1.858
292 2.91 1.855
293 2.92 1.852
294 2.93 1.849
295 2.94 1.845
296 2.95 1.842
297 2.96 1.838
298 2.97 1.835
299 2.98 1.832
300 2.99 1.829
301 3 1.826
302 3.01 1.822
303 3.02 1.819
304 3.03 1.816
305 3.04 1.813
306 3.05 1.81
307 3.06 1.807
308 3.07 1.804
309 3.08 1.801
310 3.09 1.798
311 3.1 1.796
312 3.11 1.793
313 3.12 1.79
314 3.13 1.788
315 3.14 1.785
316 3.15 1.782
317 3.16 1.78
318 3.17 1.778
319 3.18 1.776
320 3.19 1.773
321 3.2 1.771
322 3.21 1.769
323 3.22 1.768
324 3.23 1.766
325 3.24 1.764
326 3.25 1.762
327 3.26 1.761
328 3.27 1.76
329 3.28 1.758
330 3.29 1.757
331 3.3 1.756
332 3.31 1.755
333 3.32 1.754
334 3.33 1.754
335 3.34 1.753
336 3.35 1.753
337 3.36 1.752
338 3.37 1.752
339 3.38 1.752
340 3.39 1.752
341 3.4 1.752
342 3.41 1.752
343 3.42 1.752
344 3.43 1.753
345 3.44 1.753
346 3.45 1.754
347 3.46 1.754
348 3.47 1.756
349 3.48 1.756
350 3.49 1.757
351 3.5 1.758
352 3.51 1.76
353 3.52 1.761
354 3.53 1.763
355 3.54 1.765
356 3.55 1.766
357 3.56 1.768
358 3.57 1.77
359 3.58 1.772
360 3.59 1.774
361 3.6 1.776
362 3.61 1.778
363 3.62 1.781
364 3.63 1.783
365 3.64 1.785
366 3.65 1.788
367 3.66 1.79
368 3.67 1.793
369 3.68 1.796
370 3.69 1.799
371 3.7 1.802
372 3.71 1.805
373 3.72 1.808
374 3.73 1.81
375 3.74 1.813
376 3.75 1.817
377 3.76 1.82
378 3.77 1.823
379 3.78 1.826
380 3.79 1.829
381 3.8 1.832
382 3.81 1.836
383 3.82 1.839
384 3.83 1.842
385 3.84 1.845
386 3.85 1.849
387 3.86 1.852
388 3.87 1.855
389 3.88 1.858
390 3.89 1.861
391 3.9 1.865
392 3.91 1.868
393 3.92 1.87
394 3.93 1.874
395 3.94 1.877
396 3.95 1.88
397 3.96 1.883
398 3.97 1.886
399 3.98 1.889
400 3.99 1.892
401 4 1.894
402 4.01 1.897
403 4.02 1.9
404 4.03 1.902
405 4.04 1.905
406 4.05 1.907
407 4.06 1.909
408 4.07 1.912
409 4.08 1.914
410 4.09 1.916
411 4.1 1.918
412 4.11 1.92
413 4.12 1.921
414 4.13 1.923
415 4.14 1.925
416 4.15 1.926
417 4.16 1.928
418 4.17 1.929
419 4.18 1.93
420 4.19 1.932
421 4.2 1.932
422 4.21 1.933
423 4.22 1.934
424 4.23 1.935
425 4.24 1.935
426 4.25 1.936
427 4.26 1.936
428 4.27 1.936
429 4.28 1.936
430 4.29 1.936
431 4.3 1.936
432 4.31 1.936
433 4.32 1.936
434 4.33 1.936
435 4.34 1.935
436 4.35 1.934
437 4.36 1.933
438 4.37 1.932
439 4.38 1.932
440 4.39 1.93
441 4.4 1.929
442 4.41 1.928
443 4.42 1.926
444 4.43 1.925
445 4.44 1.923
446 4.45 1.922
447 4.46 1.92
448 4.47 1.918
449 4.48 1.916
450 4.49 1.914
451 4.5 1.912
452 4.51 1.909
453 4.52 1.907
454 4.53 1.905
455 4.54 1.902
456 4.55 1.9
457 4.56 1.897
458 4.57 1.894
459 4.58 1.892
460 4.59 1.889
461 4.6 1.886
462 4.61 1.884
463 4.62 1.881
464 4.63 1.877
465 4.64 1.874
466 4.65 1.872
467 4.66 1.868
468 4.67 1.865
469 4.68 1.862
470 4.69 1.859
471 4.7 1.856
472 4.71 1.853
473 4.72 1.849
474 4.73 1.846
475 4.74 1.843
476 4.75 1.84
477 4.76 1.837
478 4.77 1.834
479 4.78 1.83
480 4.79 1.828
481 4.8 1.824
482 4.81 1.821
483 4.82 1.818
484 4.83 1.815
485 4.84 1.812
486 4.85 1.809
487 4.86 1.806
488 4.87 1.804
489 4.88 1.801
490 4.89 1.798
491 4.9 1.796
492 4.91 1.793
493 4.92 1.79
494 4.93 1.788
495 4.94 1.786
496 4.95 1.784
497 4.96 1.781
498 4.97 1.779
499 4.98 1.777
500 4.99 1.775
501 5 1.773
502 5.01 1.771
503 5.02 1.769
504 5.03 1.768
505 5.04 1.766
506 5.05 1.765
507 5.06 1.764
508 5.07 1.762
509 5.08 1.761
510 5.09 1.76
511 5.1 1.759
512 5.11 1.758
513 5.12 1.758
514 5.13 1.757
515 5.14 1.757
516 5.15 1.756
517 5.16 1.756
518 5.17 1.756
519 5.18 1.756
520 5.19 1.756
521 5.2 1.756
522 5.21 1.756
523 5.22 1.756
524 5.23 1.757
525 5.24 1.757
526 5.25 1.758
527 5.26 1.759
528 5.27 1.76
529 5.28 1.761
530 5.29 1.762
531 5.3 1.763
532 5.31 1.765
533 5.32 1.766
534 5.33 1.768
535 5.34 1.769
536 5.35 1.771
537 5.36 1.773
538 5.37 1.774
539 5.38 1.776
540 5.39 1.778
541 5.4 1.781
542 5.41 1.783
543 5.42 1.785
544 5.43 1.788
545 5.44 1.79
546 5.45 1.792
547 5.46 1.795
548 5.47 1.797
549 5.48 1.8
550 5.49 1.803
551 5.5 1.805
552 5.51 1.808
553 5.52 1.811
554 5.53 1.814
555 5.54 1.817
556 5.55 1.82
557 5.56 1.823
558 5.57 1.826
559 5.58 1.829
560 5.59 1.832
561 5.6 1.835
562 5.61 1.838
563 5.62 1.841
564 5.63 1.844
565 5.64 1.848
566 5.65 1.85
567 5.66 1.853
568 5.67 1.857
569 5.68 1.86
570 5.69 1.863
571 5.7 1.866
572 5.71 1.869
573 5.72 1.872
574 5.73 1.874
575 5.74 1.877
576 5.75 1.88
577 5.76 1.883
578 5.77 1.886
579 5.78 1.889
580 5.79 1.892
581 5.8 1.894
582 5.81 1.896
583 5.82 1.899
584 5.83 1.901
585 5.84 1.904
586 5.85 1.906
587 5.86 1.908
588 5.87 1.91
589 5.88 1.912
590 5.89 1.914
591 5.9 1.916
592 5.91 1.918
593 5.92 1.92
594 5.93 1.921
595 5.94 1.922
596 5.95 1.924
597 5.96 1.925
598 5.97 1.926
599 5.98 1.928
600 5.99 1.929
601 6 1.929
602 6.01 1.93
603 6.02 1.931
604 6.03 1.932
605 6.04 1.932
606 6.05 1.932
607 6.06 1.932
608 6.07 1.933
609 6.08 1.933
610 6.09 1.933
611 6.1 1.933
612 6.11 1.932
613 6.12 1.932
614 6.13 1.931
615 6.14 1.93
616 6.15 1.93
617 6.16 1.929
618 6.17 1.928
619 6.18 1.927
620 6.19 1.926
621 6.2 1.925
622 6.21 1.924
623 6.22 1.922
624 6.23 1.921
625 6.24 1.919
626 6.25 1.917
627 6.26 1.916
628 6.27 1.913
629 6.28 1.912
630 6.29 1.909
631 6.3 1.908
632 6.31 1.905
633 6.32 1.903
634 6.33 1.901
635 6.34 1.898
636 6.35 1.896
637 6.36 1.893
638 6.37 1.89
639 6.38 1.888
640 6.39 1.885
641 6.4 1.882
642 6.41 1.88
643 6.42 1.877
644 6.43 1.874
645 6.44 1.871
646 6.45 1.868
647 6.46 1.865
648 6.47 1.862
649 6.48 1.86
650 6.49 1.856
651 6.5 1.853
652 6.51 1.85
653 6.52 1.847
654 6.53 1.844
655 6.54 1.841
656 6.55 1.838
657 6.56 1.835
658 6.57 1.832
659 6.58 1.829
660 6.59 1.826
661 6.6 1.823
662 6.61 1.82
663 6.62 1.817
664 6.63 1.814
665 6.64 1.812
666 6.65 1.809
667 6.66 1.806
668 6.67 1.804
669 6.68 1.801
670 6.69 1.798
671 6.7 1.796
672 6.71 1.794
673 6.72 1.791
674 6.73 1.789
675 6.74 1.787
676 6.75 1.785
677 6.76 1.782
678 6.77 1.78
679 6.78 1.778
680 6.79 1.777
681 6.8 1.775
682 6.81 1.773
683 6.82 1.772
684 6.83 1.77
685 6.84 1.769
686 6.85 1.768
687 6.86 1.766
688 6.87 1.765
689 6.88 1.764
690 6.89 1.763
691 6.9 1.762
692 6.91 1.762
693 6.92 1.761
694 6.93 1.761
695 6.94 1.76
696 6.95 1.76
697 6.96 1.76
698 6.97 1.76
699 6.98 1.76
700 6.99 1.76
701 7 1.76
702 7.01 1.76
703 7.02 1.761
704 7.03 1.761
705 7.04 1.762
706 7.05 1.762
707 7.06 1.764
708 7.07 1.764
709 7.08 1.765
710 7.09 1.766
711 7.1 1.768
712 7.11 1.769
713 7.12 1.77
714 7.13 1.772
715 7.14 1.774
716 7.15 1.776
717 7.16 1.777
718 7.17 1.779
719 7.18 1.781
720 7.19 1.783
721 7.2 1.785
722 7.21 1.787
723 7.22 1.789
724 7.23 1.792
725 7.24 1.794
726 7.25 1.796
727 7.26 1.799
728 7.27 1.801
729 7.28 1.804
730 7.29 1.806
731 7.3 1.809
732 7.31 1.812
733 7.32 1.815
734 7.33 1.817
735 7.34 1.82
736 7.35 1.823
737 7.36 1.826
738 7.37 1.829
739 7.38 1.832
740 7.39 1.835
741 7.4 1.838
742 7.41 1.841
743 7.42 1.844
744 7.43 1.847
745 7.44 1.849
746 7.45 1.853
747 7.46 1.856
748 7.47 1.858
749 7.48 1.861
750 7.49 1.864
751 7.5 1.867
752 7.51 1.87
753 7.52 1.873
754 7.53 1.876
755 7.54 1.878
756 7.55 1.881
757 7.56 1.884
758 7.57 1.886
759 7.58 1.889
760 7.59 1.891
761 7.6 1.894
762 7.61 1.896
763 7.62 1.898
764 7.63 1.901
765 7.64 1.903
766 7.65 1.905
767 7.66 1.907
768 7.67 1.909
769 7.68 1.911
770 7.69 1.913
771 7.7 1.914
772 7.71 1.916
773 7.72 1.917
774 7.73 1.919
775 7.74 1.92
776 7.75 1.921
777 7.76 1.922
778 7.77 1.924
779 7.78 1.925
780 7.79 1.925
781 7.8 1.926
782 7.81 1.927
783 7.82 1.928
784 7.83 1.928
785 7.84 1.928
786 7.85 1.929
787 7.86 1.929
788 7.87 1.929
789 7.88 1.929
790 7.89 1.929
791 7.9 1.928
792 7.91 1.928
793 7.92 1.928
794 7.93 1.927
795 7.94 1.926
796 7.95 1.925
797 7.96 1.925
798 7.97 1.924
799 7.98 1.922
800 7.99 1.921
801 8 1.92
802 8.01 1.919
803 8.02 1.917
804 8.03 1.916
805 8.04 1.914
806 8.05 1.913
807 8.06 1.911
808 8.07 1.909
809 8.08 1.907
810 8.09 1.905
811 8.1 1.903
812 8.11 1.901
813 8.12 1.898
814 8.13 1.896
815 8.14 1.894
816 8.15 1.892
817 8.16 1.889
818 8.17 1.887
819 8.18 1.884
820 8.19 1.882
821 8.2 1.879
822 8.21 1.876
823 8.22 1.873
824 8.23 1.871
825 8.24 1.868
826 8.25 1.865
827 8.26 1.862
828 8.27 1.86
829 8.28 1.857
830 8.29 1.854
831 8.3 1.85
832 8.31 1.848
833 8.32 1.845
834 8.33 1.842
835 8.34 1.839
836 8.35 1.836
837 8.36 1.833
838 8.37 1.83
839 8.38 1.828
840 8.39 1.825
841 8.4 1.822
842 8.41 1.82
843 8.42 1.817
844 8.43 1.814
845 8.44 1.812
846 8.45 1.809
847 8.46 1.806
848 8.47 1.804
849 8.48 1.801
850 8.49 1.799
851 8.5 1.797
852 8.51 1.794
853 8.52 1.792
854 8.53 1.79
855 8.54 1.788
856 8.55 1.786
857 8.56 1.784
858 8.57 1.782
859 8.58 1.78
860 8.59 1.778
861 8.6 1.777
862 8.61 1.776
863 8.62 1.774
864 8.63 1.773
865 8.64 1.772
866 8.65 1.77
867 8.66 1.769
868 8.67 1.768
869 8.68 1.767
870 8.69 1.766
871 8.7 1.766
872 8.71 1.765
873 8.72 1.765
874 8.73 1.764
875 8.74 1.764
876 8.75 1.764
877 8.76 1.764
878 8.77 1.764
879 8.78 1.764
880 8.79 1.764
881 8.8 1.764
882 8.81 1.764
883 8.82 1.765
884 8.83 1.765
885 8.84 1.766
886 8.85 1.767
887 8.86 1.768
888 8.87 1.769
889 8.88 1.77
890 8.89 1.771
891 8.9 1.772
892 8.91 1.774
893 8.92 1.775
894 8.93 1.777
895 8.94 1.778
896 8.95 1.78
897 8.96 1.781
898 8.97 1.784
899 8.98 1.785
900 8.99 1.787
901 9 1.789
902 9.01 1.792
903 9.02 1.793
904 9.03 1.796
905 9.04 1.798
906 9.05 1.801
907 9.06 1.803
908 9.07 1.805
909 9.08 1.808
910 9.09 1.81
911 9.1 1.813
912 9.11 1.816
913 9.12 1.818
914 9.13 1.821
915 9.14 1.824
916 9.15 1.826
917 9.16 1.829
918 9.17 1.832
919 9.18 1.834
920 9.19 1.837
921 9.2 1.84
922 9.21 1.843
923 9.22 1.846
924 9.23 1.849
925 9.24 1.852
926 9.25 1.854
927 9.26 1.857
928 9.27 1.86
929 9.28 1.863
930 9.29 1.865
931 9.3 1.868
932 9.31 1.871
933 9.32 1.873
934 9.33 1.876
935 9.34 1.879
936 9.35 1.881
937 9.36 1.884
938 9.37 1.886
939 9.38 1.889
940 9.39 1.891
941 9.4 1.893
942 9.41 1.895
943 9.42 1.897
944 9.43 1.9
945 9.44 1.902
946 9.45 1.904
947 9.46 1.905
948 9.47 1.907
949 9.48 1.909
950 9.49 1.91
951 9.5 1.912
952 9.51 1.913
953 9.52 1.915
954 9.53 1.916
955 9.54 1.917
956 9.55 1.918
957 9.56 1.92
958 9.57 1.921
959 9.58 1.921
960 9.59 1.922
961 9.6 1.923
962 9.61 1.924
963 9.62 1.924
964 9.63 1.924
965 9.64 1.925
966 9.65 1.925
967 9.66 1.925
968 9.67 1.925
969 9.68 1.925
970 9.69 1.925
971 9.7 1.924
972 9.71 1.924
973 9.72 1.923
974 9.73 1.923
975 9.74 1.922
976 9.75 1.921
977 9.76 1.92
978 9.77 1.919
979 9.78 1.918
980 9.79 1.917
981 9.8 1.916
982 9.81 1.914
983 9.82 1.913
984 9.83 1.912
985 9.84 1.91
986 9.85 1.908
987 9.86 1.906
988 9.87 1.905
989 9.88 1.903
990 9.89 1.901
991 9.9 1.899
992 9.91 1.897
993 9.92 1.894
994 9.93 1.892
995 9.94 1.89
996 9.95 1.888
997 9.96 1.885
998 9.97 1.883
999 9.98 1.881
1000 9.99 1.878
1001 10 1.876
1 0
1 524032 0
-1
-1
-1
-1
-1
-1
-1
0 0.01 10 1 0 -1 0 1 0 0 0 0 1
1
Standard
1 0 0 10 3 0 -1 1 -1 -1 -1 -1 -1 -1 -1 1 0 1 0 1 2 2 0 1 0
58432
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/pohl200.lab
0,0 → 1,1039
CL4
180 0.1
Index
n
0 1001 500 0 0 0 0 1 0 0 0 0 0 1000 1 1
Time
t
s
0 10 5 0 2 0 0 1 0 0 0 0 0 0 1 1
Frequency
f
Hz
0 50 10 0 2 0 0 1 1000 0 0 0 0 0 1 1
1 1
524032 1 0 1
1 0 0 0 1 0 0 1 1 0 0 0.1 0 0 0 2500 0 0 0 1 132 132 297 140 0.4848484848 0 0 1
Path
s_A1
m
-1 1 1 0 3 0 0 1 0 1 1 0 0 0.006 1 1
3 1000
1 0 0.099
2 0.01 0.102
3 0.021 0.105
4 0.031 0.106
5 0.041 0.109
6 0.051 0.11
7 0.061 0.112
8 0.071 0.114
9 0.081 0.115
10 0.091 0.116
11 0.101 0.117
12 0.111 0.118
13 0.121 0.119
14 0.131 0.12
15 0.141 0.121
16 0.151 0.121
17 0.161 0.121
18 0.171 0.122
19 0.181 0.122
20 0.191 0.122
21 0.201 0.121
22 0.211 0.121
23 0.221 0.12
24 0.231 0.119
25 0.241 0.119
26 0.251 0.118
27 0.261 0.117
28 0.271 0.115
29 0.281 0.114
30 0.291 0.112
31 0.301 0.111
32 0.311 0.109
33 0.321 0.107
34 0.331 0.105
35 0.341 0.103
36 0.351 0.101
37 0.361 0.098
38 0.371 0.095
39 0.381 0.093
40 0.391 0.09
41 0.401 0.087
42 0.411 0.085
43 0.421 0.081
44 0.431 0.078
45 0.441 0.075
46 0.451 0.071
47 0.461 0.069
48 0.471 0.065
49 0.481 0.062
50 0.491 0.058
51 0.501 0.055
52 0.511 0.051
53 0.521 0.047
54 0.531 0.043
55 0.541 0.039
56 0.551 0.035
57 0.561 0.032
58 0.571 0.028
59 0.581 0.024
60 0.591 0.02
61 0.601 0.016
62 0.611 0.012
63 0.621 0.008
64 0.631 0.004
65 0.641 0
66 0.651 -0.004
67 0.661 -0.008
68 0.671 -0.012
69 0.681 -0.016
70 0.691 -0.019
71 0.701 -0.023
72 0.711 -0.027
73 0.721 -0.031
74 0.731 -0.035
75 0.741 -0.038
76 0.751 -0.042
77 0.761 -0.045
78 0.771 -0.049
79 0.781 -0.052
80 0.791 -0.055
81 0.801 -0.059
82 0.811 -0.062
83 0.821 -0.065
84 0.831 -0.068
85 0.841 -0.071
86 0.851 -0.074
87 0.861 -0.077
88 0.871 -0.079
89 0.881 -0.082
90 0.891 -0.084
91 0.901 -0.086
92 0.911 -0.089
93 0.921 -0.09
94 0.931 -0.092
95 0.941 -0.094
96 0.951 -0.096
97 0.961 -0.097
98 0.971 -0.099
99 0.981 -0.1
100 0.991 -0.101
101 1.001 -0.102
102 1.011 -0.103
103 1.021 -0.104
104 1.031 -0.105
105 1.041 -0.105
106 1.051 -0.105
107 1.061 -0.105
108 1.071 -0.106
109 1.081 -0.106
110 1.091 -0.106
111 1.101 -0.105
112 1.111 -0.105
113 1.121 -0.104
114 1.131 -0.103
115 1.141 -0.102
116 1.151 -0.102
117 1.161 -0.101
118 1.171 -0.099
119 1.181 -0.098
120 1.191 -0.096
121 1.201 -0.095
122 1.211 -0.093
123 1.221 -0.091
124 1.231 -0.089
125 1.241 -0.087
126 1.251 -0.085
127 1.261 -0.082
128 1.271 -0.08
129 1.281 -0.078
130 1.291 -0.075
131 1.301 -0.073
132 1.311 -0.07
133 1.321 -0.067
134 1.331 -0.064
135 1.341 -0.061
136 1.351 -0.058
137 1.361 -0.054
138 1.371 -0.051
139 1.381 -0.048
140 1.391 -0.045
141 1.401 -0.041
142 1.411 -0.038
143 1.421 -0.034
144 1.431 -0.03
145 1.441 -0.027
146 1.451 -0.023
147 1.461 -0.019
148 1.471 -0.016
149 1.481 -0.012
150 1.491 -0.009
151 1.501 -0.005
152 1.511 -0.001
153 1.521 0.003
154 1.531 0.007
155 1.541 0.01
156 1.551 0.014
157 1.561 0.018
158 1.571 0.022
159 1.581 0.025
160 1.591 0.029
161 1.601 0.033
162 1.611 0.036
163 1.621 0.039
164 1.631 0.043
165 1.641 0.046
166 1.651 0.05
167 1.661 0.053
168 1.671 0.057
169 1.681 0.06
170 1.691 0.063
171 1.701 0.066
172 1.711 0.069
173 1.721 0.072
174 1.731 0.075
175 1.741 0.077
176 1.751 0.08
177 1.761 0.082
178 1.771 0.085
179 1.781 0.087
180 1.791 0.09
181 1.801 0.091
182 1.811 0.094
183 1.821 0.095
184 1.831 0.097
185 1.841 0.099
186 1.851 0.101
187 1.861 0.102
188 1.871 0.103
189 1.881 0.105
190 1.891 0.106
191 1.901 0.106
192 1.911 0.107
193 1.921 0.108
194 1.931 0.109
195 1.941 0.109
196 1.951 0.109
197 1.961 0.11
198 1.971 0.11
199 1.981 0.11
200 1.991 0.109
201 2.001 0.109
202 2.011 0.109
203 2.021 0.108
204 2.031 0.107
205 2.041 0.106
206 2.051 0.105
207 2.061 0.104
208 2.071 0.103
209 2.081 0.102
210 2.091 0.1
211 2.101 0.099
212 2.111 0.097
213 2.121 0.095
214 2.131 0.093
215 2.141 0.091
216 2.151 0.089
217 2.161 0.087
218 2.171 0.085
219 2.181 0.082
220 2.191 0.079
221 2.201 0.077
222 2.211 0.074
223 2.221 0.071
224 2.231 0.069
225 2.241 0.066
226 2.251 0.063
227 2.261 0.06
228 2.271 0.057
229 2.281 0.053
230 2.291 0.05
231 2.301 0.047
232 2.311 0.043
233 2.321 0.04
234 2.331 0.037
235 2.341 0.033
236 2.351 0.03
237 2.361 0.026
238 2.371 0.023
239 2.381 0.019
240 2.391 0.015
241 2.401 0.012
242 2.411 0.009
243 2.421 0.005
244 2.431 0.001
245 2.441 -0.002
246 2.451 -0.006
247 2.461 -0.009
248 2.471 -0.013
249 2.481 -0.016
250 2.491 -0.019
251 2.501 -0.023
252 2.511 -0.026
253 2.521 -0.03
254 2.531 -0.033
255 2.541 -0.036
256 2.551 -0.039
257 2.561 -0.042
258 2.571 -0.046
259 2.581 -0.049
260 2.591 -0.051
261 2.601 -0.054
262 2.611 -0.057
263 2.621 -0.06
264 2.631 -0.062
265 2.641 -0.065
266 2.651 -0.067
267 2.661 -0.07
268 2.671 -0.072
269 2.681 -0.074
270 2.691 -0.076
271 2.701 -0.078
272 2.711 -0.08
273 2.721 -0.082
274 2.731 -0.083
275 2.741 -0.085
276 2.751 -0.086
277 2.761 -0.087
278 2.771 -0.089
279 2.781 -0.09
280 2.791 -0.091
281 2.801 -0.091
282 2.811 -0.092
283 2.821 -0.093
284 2.831 -0.093
285 2.841 -0.094
286 2.851 -0.094
287 2.861 -0.094
288 2.871 -0.094
289 2.881 -0.094
290 2.891 -0.094
291 2.901 -0.093
292 2.911 -0.093
293 2.921 -0.092
294 2.931 -0.091
295 2.941 -0.09
296 2.951 -0.09
297 2.961 -0.089
298 2.971 -0.087
299 2.981 -0.086
300 2.991 -0.085
301 3.001 -0.083
302 3.011 -0.082
303 3.021 -0.079
304 3.031 -0.078
305 3.041 -0.076
306 3.051 -0.074
307 3.061 -0.072
308 3.071 -0.07
309 3.081 -0.067
310 3.091 -0.065
311 3.101 -0.062
312 3.111 -0.06
313 3.121 -0.057
314 3.131 -0.054
315 3.141 -0.052
316 3.151 -0.049
317 3.161 -0.046
318 3.171 -0.043
319 3.181 -0.04
320 3.191 -0.037
321 3.201 -0.034
322 3.211 -0.031
323 3.221 -0.027
324 3.231 -0.025
325 3.241 -0.021
326 3.251 -0.018
327 3.261 -0.014
328 3.271 -0.011
329 3.281 -0.008
330 3.291 -0.005
331 3.301 -0.001
332 3.311 0.002
333 3.321 0.006
334 3.331 0.009
335 3.341 0.012
336 3.351 0.015
337 3.361 0.019
338 3.371 0.022
339 3.381 0.026
340 3.391 0.029
341 3.401 0.032
342 3.411 0.035
343 3.421 0.038
344 3.431 0.042
345 3.441 0.045
346 3.451 0.047
347 3.461 0.05
348 3.471 0.053
349 3.481 0.056
350 3.491 0.059
351 3.501 0.062
352 3.511 0.064
353 3.521 0.067
354 3.531 0.069
355 3.541 0.071
356 3.551 0.074
357 3.561 0.076
358 3.571 0.078
359 3.581 0.08
360 3.591 0.082
361 3.601 0.084
362 3.611 0.086
363 3.621 0.087
364 3.631 0.089
365 3.641 0.09
366 3.651 0.091
367 3.661 0.093
368 3.671 0.094
369 3.681 0.095
370 3.691 0.095
371 3.701 0.097
372 3.711 0.097
373 3.721 0.098
374 3.731 0.098
375 3.741 0.098
376 3.751 0.098
377 3.761 0.098
378 3.771 0.098
379 3.781 0.098
380 3.791 0.098
381 3.801 0.098
382 3.811 0.097
383 3.821 0.097
384 3.831 0.095
385 3.841 0.095
386 3.851 0.094
387 3.861 0.093
388 3.871 0.091
389 3.881 0.09
390 3.891 0.089
391 3.901 0.087
392 3.911 0.086
393 3.921 0.084
394 3.931 0.082
395 3.941 0.081
396 3.951 0.078
397 3.961 0.077
398 3.971 0.074
399 3.981 0.072
400 3.991 0.07
401 4.001 0.067
402 4.011 0.065
403 4.021 0.062
404 4.031 0.06
405 4.041 0.057
406 4.051 0.055
407 4.061 0.052
408 4.071 0.049
409 4.081 0.046
410 4.091 0.043
411 4.101 0.04
412 4.111 0.037
413 4.121 0.034
414 4.131 0.031
415 4.141 0.028
416 4.151 0.025
417 4.161 0.022
418 4.171 0.019
419 4.181 0.015
420 4.191 0.012
421 4.201 0.009
422 4.211 0.006
423 4.221 0.003
424 4.231 -0.001
425 4.241 -0.004
426 4.251 -0.007
427 4.261 -0.01
428 4.271 -0.013
429 4.281 -0.016
430 4.291 -0.019
431 4.301 -0.022
432 4.311 -0.025
433 4.321 -0.028
434 4.331 -0.031
435 4.341 -0.034
436 4.351 -0.037
437 4.361 -0.039
438 4.371 -0.042
439 4.381 -0.045
440 4.391 -0.047
441 4.401 -0.05
442 4.411 -0.052
443 4.421 -0.055
444 4.431 -0.057
445 4.441 -0.059
446 4.451 -0.061
447 4.461 -0.063
448 4.471 -0.065
449 4.481 -0.067
450 4.491 -0.069
451 4.501 -0.07
452 4.511 -0.072
453 4.521 -0.073
454 4.531 -0.075
455 4.541 -0.076
456 4.551 -0.077
457 4.561 -0.078
458 4.571 -0.079
459 4.581 -0.08
460 4.591 -0.081
461 4.601 -0.082
462 4.611 -0.082
463 4.621 -0.082
464 4.631 -0.083
465 4.641 -0.083
466 4.651 -0.083
467 4.661 -0.083
468 4.671 -0.083
469 4.681 -0.083
470 4.691 -0.083
471 4.701 -0.082
472 4.711 -0.082
473 4.721 -0.081
474 4.731 -0.081
475 4.741 -0.079
476 4.751 -0.079
477 4.761 -0.078
478 4.771 -0.077
479 4.781 -0.075
480 4.791 -0.074
481 4.801 -0.073
482 4.811 -0.071
483 4.821 -0.069
484 4.831 -0.067
485 4.841 -0.066
486 4.851 -0.064
487 4.861 -0.062
488 4.871 -0.06
489 4.881 -0.058
490 4.891 -0.055
491 4.901 -0.053
492 4.911 -0.051
493 4.921 -0.049
494 4.931 -0.046
495 4.941 -0.043
496 4.951 -0.041
497 4.961 -0.038
498 4.971 -0.035
499 4.981 -0.033
500 4.991 -0.03
501 5.001 -0.027
502 5.011 -0.025
503 5.021 -0.022
504 5.031 -0.018
505 5.041 -0.016
506 5.051 -0.013
507 5.061 -0.01
508 5.071 -0.007
509 5.081 -0.004
510 5.091 -0.001
511 5.101 0.002
512 5.111 0.005
513 5.121 0.008
514 5.131 0.011
515 5.141 0.014
516 5.151 0.017
517 5.161 0.02
518 5.171 0.023
519 5.181 0.026
520 5.191 0.029
521 5.201 0.031
522 5.211 0.034
523 5.221 0.037
524 5.231 0.04
525 5.241 0.042
526 5.251 0.045
527 5.261 0.047
528 5.271 0.05
529 5.281 0.053
530 5.291 0.055
531 5.301 0.057
532 5.311 0.059
533 5.321 0.062
534 5.331 0.064
535 5.341 0.066
536 5.351 0.068
537 5.361 0.07
538 5.371 0.071
539 5.381 0.073
540 5.391 0.075
541 5.401 0.077
542 5.411 0.078
543 5.421 0.079
544 5.431 0.081
545 5.441 0.082
546 5.451 0.083
547 5.461 0.084
548 5.471 0.085
549 5.481 0.085
550 5.491 0.086
551 5.501 0.087
552 5.511 0.087
553 5.521 0.087
554 5.531 0.088
555 5.541 0.088
556 5.551 0.088
557 5.561 0.088
558 5.571 0.088
559 5.581 0.088
560 5.591 0.087
561 5.601 0.087
562 5.611 0.086
563 5.621 0.086
564 5.631 0.085
565 5.641 0.084
566 5.651 0.083
567 5.661 0.082
568 5.671 0.081
569 5.681 0.08
570 5.691 0.079
571 5.701 0.077
572 5.711 0.076
573 5.721 0.074
574 5.731 0.073
575 5.741 0.071
576 5.751 0.069
577 5.761 0.067
578 5.771 0.065
579 5.781 0.063
580 5.791 0.061
581 5.801 0.059
582 5.811 0.057
583 5.821 0.054
584 5.831 0.052
585 5.841 0.05
586 5.851 0.047
587 5.861 0.045
588 5.871 0.042
589 5.881 0.039
590 5.891 0.037
591 5.901 0.034
592 5.911 0.031
593 5.921 0.029
594 5.931 0.026
595 5.941 0.023
596 5.951 0.021
597 5.961 0.018
598 5.971 0.015
599 5.981 0.012
600 5.991 0.009
601 6.001 0.006
602 6.011 0.003
603 6.021 0.001
604 6.031 -0.002
605 6.041 -0.005
606 6.051 -0.008
607 6.061 -0.011
608 6.071 -0.013
609 6.081 -0.016
610 6.091 -0.019
611 6.101 -0.021
612 6.111 -0.024
613 6.121 -0.027
614 6.131 -0.029
615 6.141 -0.031
616 6.151 -0.034
617 6.161 -0.037
618 6.171 -0.039
619 6.181 -0.041
620 6.191 -0.043
621 6.201 -0.045
622 6.211 -0.047
623 6.221 -0.049
624 6.231 -0.051
625 6.241 -0.053
626 6.251 -0.055
627 6.261 -0.057
628 6.271 -0.059
629 6.281 -0.06
630 6.291 -0.062
631 6.301 -0.063
632 6.311 -0.065
633 6.321 -0.066
634 6.331 -0.067
635 6.341 -0.068
636 6.351 -0.069
637 6.361 -0.07
638 6.371 -0.07
639 6.381 -0.071
640 6.391 -0.071
641 6.401 -0.072
642 6.411 -0.073
643 6.421 -0.073
644 6.431 -0.073
645 6.441 -0.073
646 6.451 -0.073
647 6.461 -0.073
648 6.471 -0.073
649 6.481 -0.073
650 6.491 -0.073
651 6.501 -0.072
652 6.511 -0.071
653 6.521 -0.071
654 6.531 -0.07
655 6.541 -0.069
656 6.551 -0.069
657 6.561 -0.067
658 6.571 -0.066
659 6.581 -0.065
660 6.591 -0.064
661 6.601 -0.062
662 6.611 -0.061
663 6.621 -0.059
664 6.631 -0.058
665 6.641 -0.056
666 6.651 -0.054
667 6.661 -0.053
668 6.671 -0.051
669 6.681 -0.049
670 6.691 -0.047
671 6.701 -0.045
672 6.711 -0.043
673 6.72 -0.041
674 6.73 -0.039
675 6.74 -0.037
676 6.75 -0.034
677 6.76 -0.032
678 6.77 -0.029
679 6.78 -0.027
680 6.79 -0.025
681 6.8 -0.022
682 6.81 -0.019
683 6.82 -0.017
684 6.83 -0.014
685 6.84 -0.011
686 6.85 -0.009
687 6.86 -0.006
688 6.87 -0.004
689 6.88 -0.001
690 6.89 0.002
691 6.9 0.004
692 6.91 0.007
693 6.92 0.01
694 6.93 0.012
695 6.94 0.015
696 6.95 0.017
697 6.96 0.02
698 6.97 0.022
699 6.98 0.025
700 6.99 0.027
701 7 0.03
702 7.01 0.033
703 7.02 0.035
704 7.03 0.037
705 7.04 0.04
706 7.05 0.042
707 7.06 0.044
708 7.07 0.046
709 7.08 0.049
710 7.09 0.051
711 7.1 0.053
712 7.11 0.055
713 7.12 0.057
714 7.13 0.058
715 7.14 0.06
716 7.15 0.062
717 7.16 0.063
718 7.17 0.065
719 7.18 0.066
720 7.19 0.068
721 7.2 0.069
722 7.21 0.07
723 7.22 0.072
724 7.23 0.073
725 7.24 0.074
726 7.25 0.075
727 7.26 0.075
728 7.27 0.076
729 7.28 0.077
730 7.29 0.077
731 7.3 0.078
732 7.31 0.078
733 7.32 0.078
734 7.33 0.079
735 7.34 0.079
736 7.35 0.079
737 7.36 0.079
738 7.37 0.079
739 7.38 0.078
740 7.39 0.078
741 7.4 0.078
742 7.41 0.077
743 7.42 0.077
744 7.43 0.075
745 7.44 0.075
746 7.45 0.074
747 7.46 0.073
748 7.47 0.072
749 7.48 0.071
750 7.49 0.07
751 7.5 0.068
752 7.51 0.067
753 7.52 0.065
754 7.53 0.064
755 7.54 0.062
756 7.55 0.061
757 7.56 0.059
758 7.57 0.057
759 7.58 0.055
760 7.59 0.053
761 7.6 0.051
762 7.61 0.049
763 7.62 0.047
764 7.63 0.045
765 7.64 0.043
766 7.65 0.041
767 7.66 0.039
768 7.67 0.036
769 7.68 0.034
770 7.69 0.031
771 7.7 0.029
772 7.71 0.027
773 7.72 0.025
774 7.73 0.022
775 7.74 0.019
776 7.75 0.017
777 7.76 0.014
778 7.77 0.012
779 7.78 0.009
780 7.79 0.007
781 7.8 0.005
782 7.81 0.002
783 7.82 -0.001
784 7.83 -0.003
785 7.84 -0.006
786 7.85 -0.008
787 7.86 -0.01
788 7.87 -0.013
789 7.88 -0.015
790 7.89 -0.018
791 7.9 -0.02
792 7.91 -0.022
793 7.92 -0.025
794 7.93 -0.027
795 7.94 -0.029
796 7.95 -0.031
797 7.96 -0.033
798 7.97 -0.035
799 7.98 -0.037
800 7.99 -0.039
801 8 -0.041
802 8.01 -0.043
803 8.02 -0.045
804 8.03 -0.046
805 8.04 -0.047
806 8.05 -0.049
807 8.06 -0.051
808 8.07 -0.052
809 8.08 -0.053
810 8.09 -0.055
811 8.1 -0.056
812 8.11 -0.057
813 8.12 -0.058
814 8.13 -0.059
815 8.14 -0.06
816 8.15 -0.061
817 8.16 -0.061
818 8.17 -0.062
819 8.18 -0.062
820 8.19 -0.063
821 8.2 -0.063
822 8.21 -0.063
823 8.22 -0.064
824 8.23 -0.064
825 8.24 -0.064
826 8.25 -0.064
827 8.26 -0.064
828 8.27 -0.064
829 8.28 -0.063
830 8.29 -0.063
831 8.3 -0.063
832 8.31 -0.062
833 8.32 -0.062
834 8.33 -0.061
835 8.34 -0.06
836 8.35 -0.059
837 8.36 -0.058
838 8.37 -0.057
839 8.38 -0.056
840 8.39 -0.055
841 8.4 -0.054
842 8.41 -0.052
843 8.42 -0.051
844 8.43 -0.05
845 8.44 -0.048
846 8.45 -0.046
847 8.46 -0.045
848 8.47 -0.043
849 8.48 -0.041
850 8.49 -0.039
851 8.5 -0.038
852 8.51 -0.036
853 8.52 -0.034
854 8.53 -0.032
855 8.54 -0.03
856 8.55 -0.028
857 8.56 -0.026
858 8.57 -0.023
859 8.58 -0.021
860 8.59 -0.019
861 8.6 -0.017
862 8.61 -0.015
863 8.62 -0.013
864 8.63 -0.01
865 8.64 -0.007
866 8.65 -0.006
867 8.66 -0.003
868 8.67 -0.001
869 8.68 0.002
870 8.69 0.004
871 8.7 0.006
872 8.71 0.009
873 8.72 0.011
874 8.73 0.013
875 8.74 0.016
876 8.75 0.018
877 8.76 0.02
878 8.77 0.023
879 8.78 0.025
880 8.79 0.027
881 8.8 0.029
882 8.81 0.031
883 8.82 0.033
884 8.83 0.035
885 8.84 0.038
886 8.85 0.039
887 8.86 0.042
888 8.87 0.043
889 8.88 0.045
890 8.89 0.047
891 8.9 0.049
892 8.91 0.05
893 8.92 0.052
894 8.93 0.054
895 8.94 0.055
896 8.95 0.057
897 8.96 0.058
898 8.97 0.059
899 8.98 0.061
900 8.99 0.062
901 9 0.063
902 9.01 0.064
903 9.02 0.065
904 9.03 0.066
905 9.04 0.066
906 9.05 0.067
907 9.06 0.068
908 9.07 0.069
909 9.08 0.069
910 9.09 0.069
911 9.1 0.07
912 9.11 0.07
913 9.12 0.07
914 9.13 0.07
915 9.14 0.07
916 9.15 0.07
917 9.16 0.07
918 9.17 0.07
919 9.18 0.069
920 9.19 0.069
921 9.2 0.069
922 9.21 0.068
923 9.22 0.067
924 9.23 0.067
925 9.24 0.066
926 9.25 0.065
927 9.26 0.064
928 9.27 0.063
929 9.28 0.062
930 9.29 0.061
931 9.3 0.059
932 9.31 0.058
933 9.32 0.057
934 9.33 0.055
935 9.34 0.054
936 9.35 0.053
937 9.36 0.051
938 9.37 0.049
939 9.38 0.048
940 9.39 0.046
941 9.4 0.045
942 9.41 0.042
943 9.42 0.041
944 9.43 0.039
945 9.44 0.037
946 9.45 0.035
947 9.46 0.033
948 9.47 0.031
949 9.48 0.029
950 9.49 0.027
951 9.5 0.025
952 9.51 0.022
953 9.52 0.02
954 9.53 0.018
955 9.54 0.016
956 9.55 0.014
957 9.56 0.011
958 9.57 0.009
959 9.58 0.007
960 9.59 0.005
961 9.6 0.003
962 9.61 0
963 9.62 -0.002
964 9.63 -0.004
965 9.64 -0.006
966 9.65 -0.008
967 9.66 -0.01
968 9.67 -0.013
969 9.68 -0.014
970 9.69 -0.017
971 9.7 -0.019
972 9.71 -0.021
973 9.72 -0.022
974 9.73 -0.025
975 9.74 -0.026
976 9.75 -0.028
977 9.76 -0.03
978 9.77 -0.031
979 9.78 -0.033
980 9.79 -0.035
981 9.8 -0.037
982 9.81 -0.038
983 9.82 -0.039
984 9.83 -0.041
985 9.84 -0.042
986 9.85 -0.044
987 9.86 -0.045
988 9.87 -0.046
989 9.88 -0.047
990 9.89 -0.048
991 9.9 -0.049
992 9.91 -0.05
993 9.92 -0.051
994 9.93 -0.052
995 9.94 -0.053
996 9.95 -0.053
997 9.96 -0.054
998 9.97 -0.054
999 9.98 -0.055
1000 9.99 -0.055
1 0
1 524032 0
-1
-1
-1
-1
-1
-1
-1
0 0.01 10 1 0 -1 0 1 0 0 0 0 1
1
Standard
1 0 0 10 3 0 -1 1 -1 -1 -1 -1 -1 -1 -1 1 0 1 0 1 2 2 0 1 0
58432
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/pohl400.lab
0,0 → 1,1039
CL4
180 0.1
Index
n
0 1001 500 0 0 0 0 1 0 0 0 0 0 1000 1 1
Time
t
s
0 10 5 0 2 0 0 1 0 0 0 0 0 0 1 1
Frequency
f
Hz
0 50 10 0 2 0 0 1 1000 0 0 0 0 0 1 1
1 1
524032 1 0 1
1 0 0 0 1 0 0 1 1 0 0 0.1 0 0 0 2500 0 0 0 1 132 132 297 140 0.4848484848 0 0 1
Path
s_A1
m
-1 1 1 0 3 0 0 1 0 1 1 0 0 0.006 1 1
3 1000
1 0 0.001
2 0.01 -0.003
3 0.02 -0.007
4 0.03 -0.011
5 0.04 -0.015
6 0.05 -0.019
7 0.06 -0.023
8 0.07 -0.027
9 0.08 -0.031
10 0.09 -0.035
11 0.1 -0.039
12 0.11 -0.042
13 0.12 -0.046
14 0.13 -0.05
15 0.14 -0.053
16 0.15 -0.057
17 0.16 -0.06
18 0.17 -0.063
19 0.18 -0.066
20 0.19 -0.069
21 0.2 -0.072
22 0.21 -0.075
23 0.22 -0.078
24 0.23 -0.08
25 0.24 -0.082
26 0.25 -0.085
27 0.26 -0.087
28 0.27 -0.089
29 0.28 -0.091
30 0.29 -0.093
31 0.3 -0.095
32 0.31 -0.097
33 0.32 -0.098
34 0.33 -0.099
35 0.34 -0.101
36 0.35 -0.102
37 0.36 -0.103
38 0.37 -0.103
39 0.38 -0.104
40 0.39 -0.105
41 0.4 -0.105
42 0.41 -0.105
43 0.42 -0.106
44 0.43 -0.106
45 0.44 -0.106
46 0.45 -0.105
47 0.46 -0.105
48 0.47 -0.105
49 0.48 -0.104
50 0.49 -0.103
51 0.5 -0.102
52 0.51 -0.101
53 0.52 -0.1
54 0.53 -0.098
55 0.54 -0.097
56 0.55 -0.095
57 0.56 -0.094
58 0.57 -0.092
59 0.58 -0.09
60 0.59 -0.089
61 0.6 -0.086
62 0.61 -0.084
63 0.62 -0.082
64 0.63 -0.079
65 0.64 -0.077
66 0.65 -0.074
67 0.66 -0.071
68 0.67 -0.069
69 0.68 -0.066
70 0.69 -0.063
71 0.7 -0.06
72 0.71 -0.057
73 0.72 -0.054
74 0.73 -0.051
75 0.74 -0.047
76 0.75 -0.044
77 0.76 -0.041
78 0.77 -0.037
79 0.78 -0.034
80 0.79 -0.03
81 0.8 -0.027
82 0.81 -0.023
83 0.82 -0.019
84 0.83 -0.016
85 0.84 -0.013
86 0.85 -0.009
87 0.86 -0.006
88 0.87 -0.002
89 0.88 0.002
90 0.89 0.005
91 0.9 0.009
92 0.91 0.013
93 0.92 0.016
94 0.93 0.019
95 0.94 0.023
96 0.95 0.026
97 0.96 0.03
98 0.97 0.033
99 0.98 0.037
100 0.99 0.04
101 1 0.043
102 1.01 0.046
103 1.02 0.049
104 1.03 0.053
105 1.04 0.055
106 1.05 0.058
107 1.06 0.061
108 1.07 0.064
109 1.08 0.067
110 1.09 0.069
111 1.1 0.071
112 1.11 0.074
113 1.12 0.077
114 1.13 0.079
115 1.14 0.081
116 1.15 0.083
117 1.16 0.085
118 1.17 0.086
119 1.18 0.088
120 1.19 0.09
121 1.2 0.091
122 1.21 0.093
123 1.22 0.094
124 1.23 0.095
125 1.24 0.096
126 1.25 0.097
127 1.26 0.098
128 1.27 0.098
129 1.28 0.099
130 1.29 0.099
131 1.3 0.1
132 1.31 0.1
133 1.32 0.1
134 1.33 0.1
135 1.34 0.1
136 1.35 0.1
137 1.36 0.099
138 1.37 0.099
139 1.38 0.099
140 1.39 0.098
141 1.4 0.097
142 1.41 0.096
143 1.42 0.095
144 1.43 0.094
145 1.44 0.093
146 1.45 0.091
147 1.46 0.09
148 1.47 0.088
149 1.48 0.086
150 1.49 0.085
151 1.5 0.083
152 1.51 0.081
153 1.52 0.079
154 1.53 0.077
155 1.54 0.075
156 1.55 0.073
157 1.56 0.07
158 1.57 0.067
159 1.58 0.065
160 1.59 0.063
161 1.6 0.06
162 1.61 0.057
163 1.62 0.055
164 1.63 0.052
165 1.64 0.049
166 1.65 0.046
167 1.66 0.043
168 1.67 0.041
169 1.68 0.037
170 1.69 0.034
171 1.7 0.031
172 1.71 0.028
173 1.72 0.025
174 1.73 0.022
175 1.74 0.019
176 1.75 0.016
177 1.76 0.013
178 1.77 0.01
179 1.78 0.006
180 1.79 0.003
181 1.8 0
182 1.81 -0.003
183 1.82 -0.006
184 1.83 -0.009
185 1.84 -0.012
186 1.85 -0.015
187 1.86 -0.018
188 1.87 -0.021
189 1.88 -0.023
190 1.89 -0.026
191 1.9 -0.029
192 1.91 -0.032
193 1.92 -0.034
194 1.93 -0.037
195 1.94 -0.039
196 1.95 -0.042
197 1.96 -0.044
198 1.97 -0.047
199 1.98 -0.049
200 1.99 -0.051
201 2 -0.053
202 2.01 -0.055
203 2.02 -0.057
204 2.03 -0.059
205 2.04 -0.061
206 2.05 -0.062
207 2.06 -0.064
208 2.07 -0.066
209 2.08 -0.067
210 2.09 -0.069
211 2.1 -0.07
212 2.11 -0.071
213 2.12 -0.071
214 2.13 -0.073
215 2.14 -0.074
216 2.15 -0.074
217 2.16 -0.075
218 2.17 -0.075
219 2.18 -0.076
220 2.19 -0.076
221 2.2 -0.077
222 2.21 -0.077
223 2.22 -0.077
224 2.23 -0.077
225 2.24 -0.077
226 2.25 -0.077
227 2.26 -0.076
228 2.27 -0.075
229 2.28 -0.075
230 2.29 -0.074
231 2.3 -0.074
232 2.31 -0.073
233 2.32 -0.072
234 2.33 -0.071
235 2.34 -0.07
236 2.35 -0.069
237 2.36 -0.067
238 2.37 -0.066
239 2.38 -0.065
240 2.39 -0.063
241 2.4 -0.061
242 2.41 -0.059
243 2.42 -0.058
244 2.43 -0.056
245 2.44 -0.054
246 2.45 -0.052
247 2.46 -0.05
248 2.47 -0.048
249 2.48 -0.046
250 2.49 -0.044
251 2.5 -0.042
252 2.51 -0.039
253 2.52 -0.037
254 2.53 -0.034
255 2.54 -0.032
256 2.55 -0.029
257 2.56 -0.027
258 2.57 -0.025
259 2.58 -0.022
260 2.59 -0.019
261 2.6 -0.017
262 2.61 -0.014
263 2.62 -0.011
264 2.63 -0.009
265 2.64 -0.006
266 2.65 -0.003
267 2.66 -0.001
268 2.67 0.002
269 2.68 0.004
270 2.69 0.007
271 2.7 0.01
272 2.71 0.012
273 2.72 0.015
274 2.73 0.017
275 2.74 0.02
276 2.75 0.022
277 2.76 0.025
278 2.77 0.027
279 2.78 0.03
280 2.79 0.032
281 2.8 0.034
282 2.81 0.037
283 2.82 0.039
284 2.83 0.041
285 2.84 0.043
286 2.85 0.046
287 2.86 0.047
288 2.87 0.05
289 2.88 0.051
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291 2.9 0.055
292 2.91 0.057
293 2.92 0.058
294 2.93 0.06
295 2.94 0.062
296 2.95 0.063
297 2.96 0.065
298 2.97 0.066
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300 2.99 0.068
301 3 0.069
302 3.01 0.07
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304 3.03 0.072
305 3.04 0.073
306 3.05 0.073
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308 3.07 0.074
309 3.08 0.074
310 3.09 0.075
311 3.1 0.075
312 3.11 0.075
313 3.12 0.075
314 3.13 0.075
315 3.14 0.075
316 3.15 0.075
317 3.16 0.074
318 3.17 0.074
319 3.18 0.074
320 3.19 0.073
321 3.2 0.072
322 3.21 0.071
323 3.22 0.071
324 3.23 0.07
325 3.24 0.069
326 3.25 0.068
327 3.26 0.067
328 3.27 0.065
329 3.28 0.064
330 3.29 0.063
331 3.3 0.061
332 3.31 0.06
333 3.32 0.058
334 3.33 0.057
335 3.34 0.055
336 3.35 0.054
337 3.36 0.052
338 3.37 0.05
339 3.38 0.048
340 3.39 0.046
341 3.4 0.044
342 3.41 0.042
343 3.42 0.04
344 3.43 0.038
345 3.44 0.036
346 3.45 0.034
347 3.46 0.032
348 3.47 0.03
349 3.48 0.027
350 3.49 0.025
351 3.5 0.023
352 3.51 0.021
353 3.52 0.018
354 3.53 0.016
355 3.54 0.014
356 3.55 0.011
357 3.56 0.009
358 3.57 0.007
359 3.58 0.005
360 3.59 0.002
361 3.6 0
362 3.61 -0.002
363 3.62 -0.005
364 3.63 -0.006
365 3.64 -0.009
366 3.65 -0.011
367 3.66 -0.013
368 3.67 -0.015
369 3.68 -0.017
370 3.69 -0.019
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372 3.71 -0.023
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374 3.73 -0.027
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376 3.75 -0.03
377 3.76 -0.032
378 3.77 -0.034
379 3.78 -0.035
380 3.79 -0.037
381 3.8 -0.038
382 3.81 -0.04
383 3.82 -0.041
384 3.83 -0.042
385 3.84 -0.044
386 3.85 -0.045
387 3.86 -0.046
388 3.87 -0.047
389 3.88 -0.048
390 3.89 -0.049
391 3.9 -0.05
392 3.91 -0.051
393 3.92 -0.051
394 3.93 -0.052
395 3.94 -0.053
396 3.95 -0.053
397 3.96 -0.054
398 3.97 -0.054
399 3.98 -0.054
400 3.99 -0.054
401 4 -0.054
402 4.01 -0.054
403 4.02 -0.054
404 4.03 -0.054
405 4.04 -0.054
406 4.05 -0.054
407 4.06 -0.054
408 4.07 -0.054
409 4.08 -0.053
410 4.09 -0.053
411 4.1 -0.052
412 4.11 -0.051
413 4.12 -0.05
414 4.13 -0.05
415 4.14 -0.049
416 4.15 -0.048
417 4.16 -0.047
418 4.17 -0.046
419 4.18 -0.045
420 4.19 -0.043
421 4.2 -0.042
422 4.21 -0.041
423 4.22 -0.04
424 4.23 -0.038
425 4.24 -0.037
426 4.25 -0.035
427 4.26 -0.034
428 4.27 -0.033
429 4.28 -0.031
430 4.29 -0.03
431 4.3 -0.028
432 4.31 -0.026
433 4.32 -0.025
434 4.33 -0.023
435 4.34 -0.021
436 4.35 -0.019
437 4.36 -0.017
438 4.37 -0.015
439 4.38 -0.014
440 4.39 -0.011
441 4.4 -0.01
442 4.41 -0.008
443 4.42 -0.006
444 4.43 -0.004
445 4.44 -0.002
446 4.45 0
447 4.46 0.002
448 4.47 0.003
449 4.48 0.006
450 4.49 0.007
451 4.5 0.009
452 4.51 0.011
453 4.52 0.013
454 4.53 0.015
455 4.54 0.017
456 4.55 0.019
457 4.56 0.021
458 4.57 0.022
459 4.58 0.024
460 4.59 0.026
461 4.6 0.027
462 4.61 0.029
463 4.62 0.031
464 4.63 0.032
465 4.64 0.034
466 4.65 0.035
467 4.66 0.037
468 4.67 0.038
469 4.68 0.039
470 4.69 0.041
471 4.7 0.042
472 4.71 0.043
473 4.72 0.045
474 4.73 0.046
475 4.74 0.047
476 4.75 0.048
477 4.76 0.049
478 4.77 0.05
479 4.78 0.05
480 4.79 0.051
481 4.8 0.052
482 4.81 0.053
483 4.82 0.053
484 4.83 0.054
485 4.84 0.054
486 4.85 0.055
487 4.86 0.055
488 4.87 0.055
489 4.88 0.055
490 4.89 0.056
491 4.9 0.056
492 4.91 0.056
493 4.92 0.056
494 4.93 0.056
495 4.94 0.056
496 4.95 0.055
497 4.96 0.055
498 4.97 0.055
499 4.98 0.054
500 4.99 0.054
501 5 0.054
502 5.01 0.053
503 5.02 0.053
504 5.03 0.051
505 5.04 0.051
506 5.05 0.05
507 5.06 0.049
508 5.07 0.049
509 5.08 0.047
510 5.09 0.046
511 5.1 0.045
512 5.11 0.044
513 5.12 0.043
514 5.13 0.042
515 5.14 0.041
516 5.15 0.039
517 5.16 0.038
518 5.17 0.037
519 5.18 0.035
520 5.19 0.034
521 5.2 0.033
522 5.21 0.031
523 5.22 0.03
524 5.23 0.028
525 5.24 0.027
526 5.25 0.025
527 5.26 0.023
528 5.27 0.022
529 5.28 0.021
530 5.29 0.019
531 5.3 0.017
532 5.31 0.015
533 5.32 0.014
534 5.33 0.012
535 5.34 0.011
536 5.35 0.009
537 5.36 0.007
538 5.37 0.006
539 5.38 0.004
540 5.39 0.002
541 5.4 0.001
542 5.41 -0.001
543 5.42 -0.002
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545 5.44 -0.006
546 5.45 -0.007
547 5.46 -0.009
548 5.47 -0.01
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550 5.49 -0.013
551 5.5 -0.014
552 5.51 -0.016
553 5.52 -0.017
554 5.53 -0.018
555 5.54 -0.02
556 5.55 -0.021
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558 5.57 -0.023
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560 5.59 -0.026
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562 5.61 -0.027
563 5.62 -0.029
564 5.63 -0.03
565 5.64 -0.03
566 5.65 -0.031
567 5.66 -0.032
568 5.67 -0.033
569 5.68 -0.033
570 5.69 -0.034
571 5.7 -0.035
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575 5.74 -0.037
576 5.75 -0.037
577 5.76 -0.037
578 5.77 -0.037
579 5.78 -0.037
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581 5.8 -0.038
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583 5.82 -0.038
584 5.83 -0.038
585 5.84 -0.038
586 5.85 -0.037
587 5.86 -0.037
588 5.87 -0.037
589 5.88 -0.036
590 5.89 -0.036
591 5.9 -0.035
592 5.91 -0.035
593 5.92 -0.034
594 5.93 -0.034
595 5.94 -0.033
596 5.95 -0.033
597 5.96 -0.032
598 5.97 -0.031
599 5.98 -0.03
600 5.99 -0.029
601 6 -0.029
602 6.01 -0.027
603 6.02 -0.026
604 6.03 -0.026
605 6.04 -0.025
606 6.05 -0.023
607 6.06 -0.022
608 6.07 -0.021
609 6.08 -0.02
610 6.09 -0.019
611 6.1 -0.018
612 6.11 -0.017
613 6.12 -0.015
614 6.13 -0.014
615 6.14 -0.013
616 6.15 -0.011
617 6.16 -0.01
618 6.17 -0.009
619 6.18 -0.007
620 6.19 -0.006
621 6.2 -0.005
622 6.21 -0.003
623 6.22 -0.002
624 6.23 -0.001
625 6.24 0.001
626 6.25 0.002
627 6.26 0.003
628 6.27 0.005
629 6.28 0.006
630 6.29 0.007
631 6.3 0.009
632 6.31 0.01
633 6.32 0.011
634 6.33 0.013
635 6.34 0.014
636 6.35 0.015
637 6.36 0.017
638 6.37 0.018
639 6.38 0.019
640 6.39 0.021
641 6.4 0.022
642 6.41 0.023
643 6.42 0.024
644 6.43 0.025
645 6.44 0.026
646 6.45 0.027
647 6.46 0.028
648 6.47 0.029
649 6.48 0.03
650 6.49 0.031
651 6.5 0.032
652 6.51 0.033
653 6.52 0.034
654 6.53 0.034
655 6.54 0.035
656 6.55 0.036
657 6.56 0.037
658 6.57 0.037
659 6.58 0.038
660 6.59 0.038
661 6.6 0.039
662 6.61 0.039
663 6.62 0.04
664 6.63 0.04
665 6.64 0.041
666 6.65 0.041
667 6.66 0.041
668 6.67 0.041
669 6.68 0.041
670 6.69 0.041
671 6.7 0.041
672 6.71 0.041
673 6.72 0.041
674 6.73 0.041
675 6.74 0.041
676 6.75 0.041
677 6.76 0.041
678 6.77 0.041
679 6.78 0.04
680 6.79 0.04
681 6.8 0.039
682 6.81 0.039
683 6.82 0.039
684 6.83 0.038
685 6.84 0.038
686 6.85 0.037
687 6.86 0.037
688 6.87 0.036
689 6.88 0.035
690 6.89 0.034
691 6.9 0.034
692 6.91 0.033
693 6.92 0.032
694 6.93 0.031
695 6.94 0.03
696 6.95 0.029
697 6.96 0.029
698 6.97 0.027
699 6.98 0.026
700 6.99 0.026
701 7 0.025
702 7.01 0.023
703 7.02 0.022
704 7.03 0.021
705 7.04 0.02
706 7.05 0.019
707 7.06 0.018
708 7.07 0.017
709 7.08 0.016
710 7.09 0.015
711 7.1 0.013
712 7.11 0.012
713 7.12 0.011
714 7.13 0.01
715 7.14 0.009
716 7.15 0.007
717 7.16 0.006
718 7.17 0.005
719 7.18 0.004
720 7.19 0.003
721 7.2 0.002
722 7.21 0.001
723 7.22 -0.001
724 7.23 -0.002
725 7.24 -0.002
726 7.25 -0.003
727 7.26 -0.005
728 7.27 -0.006
729 7.28 -0.007
730 7.29 -0.008
731 7.3 -0.009
732 7.31 -0.01
733 7.32 -0.011
734 7.33 -0.011
735 7.34 -0.013
736 7.35 -0.013
737 7.36 -0.014
738 7.37 -0.015
739 7.38 -0.016
740 7.39 -0.017
741 7.4 -0.017
742 7.41 -0.018
743 7.42 -0.019
744 7.43 -0.019
745 7.44 -0.02
746 7.45 -0.021
747 7.46 -0.021
748 7.47 -0.022
749 7.48 -0.022
750 7.49 -0.022
751 7.5 -0.023
752 7.51 -0.023
753 7.52 -0.023
754 7.53 -0.023
755 7.54 -0.024
756 7.55 -0.024
757 7.56 -0.025
758 7.57 -0.025
759 7.58 -0.025
760 7.59 -0.025
761 7.6 -0.025
762 7.61 -0.025
763 7.62 -0.025
764 7.63 -0.025
765 7.64 -0.025
766 7.65 -0.025
767 7.66 -0.024
768 7.67 -0.024
769 7.68 -0.023
770 7.69 -0.023
771 7.7 -0.023
772 7.71 -0.023
773 7.72 -0.022
774 7.73 -0.022
775 7.74 -0.022
776 7.75 -0.021
777 7.76 -0.021
778 7.77 -0.02
779 7.78 -0.019
780 7.79 -0.019
781 7.8 -0.018
782 7.81 -0.018
783 7.82 -0.017
784 7.83 -0.016
785 7.84 -0.015
786 7.85 -0.014
787 7.86 -0.014
788 7.87 -0.013
789 7.88 -0.012
790 7.89 -0.011
791 7.9 -0.01
792 7.91 -0.01
793 7.92 -0.009
794 7.93 -0.008
795 7.94 -0.007
796 7.95 -0.006
797 7.96 -0.005
798 7.97 -0.004
799 7.98 -0.003
800 7.99 -0.002
801 8 -0.002
802 8.01 -0.001
803 8.02 0.001
804 8.03 0.001
805 8.04 0.002
806 8.05 0.003
807 8.06 0.004
808 8.07 0.005
809 8.08 0.006
810 8.09 0.007
811 8.1 0.008
812 8.11 0.009
813 8.12 0.01
814 8.13 0.011
815 8.14 0.012
816 8.15 0.013
817 8.16 0.014
818 8.17 0.014
819 8.18 0.015
820 8.19 0.016
821 8.2 0.017
822 8.21 0.018
823 8.22 0.018
824 8.23 0.019
825 8.24 0.02
826 8.25 0.021
827 8.26 0.021
828 8.27 0.022
829 8.28 0.023
830 8.29 0.023
831 8.3 0.024
832 8.31 0.025
833 8.32 0.025
834 8.33 0.026
835 8.34 0.026
836 8.35 0.027
837 8.36 0.027
838 8.37 0.027
839 8.38 0.028
840 8.39 0.029
841 8.4 0.029
842 8.41 0.029
843 8.42 0.029
844 8.43 0.03
845 8.44 0.03
846 8.45 0.03
847 8.46 0.03
848 8.47 0.03
849 8.48 0.03
850 8.49 0.03
851 8.5 0.03
852 8.51 0.03
853 8.52 0.03
854 8.53 0.03
855 8.54 0.03
856 8.55 0.03
857 8.56 0.03
858 8.57 0.03
859 8.58 0.029
860 8.59 0.029
861 8.6 0.029
862 8.61 0.029
863 8.62 0.028
864 8.63 0.028
865 8.64 0.027
866 8.65 0.027
867 8.66 0.027
868 8.67 0.026
869 8.68 0.026
870 8.69 0.025
871 8.7 0.025
872 8.71 0.024
873 8.72 0.023
874 8.73 0.023
875 8.74 0.022
876 8.75 0.022
877 8.76 0.021
878 8.77 0.021
879 8.78 0.02
880 8.79 0.019
881 8.8 0.018
882 8.81 0.018
883 8.82 0.017
884 8.83 0.016
885 8.84 0.015
886 8.85 0.015
887 8.86 0.014
888 8.87 0.013
889 8.88 0.013
890 8.89 0.011
891 8.9 0.011
892 8.91 0.01
893 8.92 0.009
894 8.93 0.009
895 8.94 0.007
896 8.95 0.007
897 8.96 0.006
898 8.97 0.005
899 8.98 0.005
900 8.99 0.003
901 9 0.003
902 9.01 0.002
903 9.02 0.001
904 9.03 0.001
905 9.04 0
906 9.05 -0.001
907 9.06 -0.002
908 9.07 -0.002
909 9.08 -0.003
910 9.09 -0.004
911 9.1 -0.005
912 9.11 -0.005
913 9.12 -0.006
914 9.13 -0.006
915 9.14 -0.007
916 9.15 -0.007
917 9.16 -0.008
918 9.17 -0.009
919 9.18 -0.009
920 9.19 -0.01
921 9.2 -0.01
922 9.21 -0.011
923 9.22 -0.011
924 9.23 -0.011
925 9.24 -0.012
926 9.25 -0.013
927 9.26 -0.013
928 9.27 -0.013
929 9.28 -0.013
930 9.29 -0.014
931 9.3 -0.014
932 9.31 -0.014
933 9.32 -0.014
934 9.33 -0.014
935 9.34 -0.015
936 9.35 -0.015
937 9.36 -0.015
938 9.37 -0.015
939 9.38 -0.015
940 9.39 -0.015
941 9.4 -0.015
942 9.41 -0.015
943 9.42 -0.015
944 9.43 -0.015
945 9.44 -0.015
946 9.45 -0.015
947 9.46 -0.015
948 9.47 -0.014
949 9.48 -0.014
950 9.49 -0.014
951 9.5 -0.014
952 9.51 -0.014
953 9.527 -0.013
954 9.539 -0.013
955 9.547 -0.013
956 9.558 -0.012
957 9.57 -0.011
958 9.578 -0.011
959 9.59 -0.011
960 9.598 -0.01
961 9.609 -0.01
962 9.617 -0.01
963 9.629 -0.009
964 9.637 -0.009
965 9.648 -0.008
966 9.66 -0.007
967 9.668 -0.007
968 9.68 -0.006
969 9.687 -0.006
970 9.699 -0.005
971 9.707 -0.005
972 9.719 -0.004
973 9.727 -0.003
974 9.738 -0.003
975 9.75 -0.002
976 9.758 -0.002
977 9.769 -0.001
978 9.777 -0.001
979 9.789 0.001
980 9.797 0.001
981 9.808 0.002
982 9.82 0.002
983 9.828 0.003
984 9.836 0.003
985 9.848 0.004
986 9.859 0.005
987 9.867 0.005
988 9.879 0.006
989 9.887 0.006
990 9.898 0.007
991 9.91 0.008
992 9.918 0.009
993 9.93 0.009
994 9.939 0.01
995 9.949 0.01
996 9.957 0.011
997 9.969 0.011
998 9.976 0.012
999 9.988 0.013
1000 10 0.013
1 0
1 524032 0
-1
-1
-1
-1
-1
-1
-1
0 0.01 10 1 0 -1 0 1 0 0 0 0 1
1
Standard
1 0 0 10 3 0 -1 1 -1 -1 -1 -1 -1 -1 -1 1 0 1 0 1 2 2 0 1 0
58432
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/pohl500.lab
0,0 → 1,1040
CL4
180 0.1
Index
n
0 1001 500 0 0 0 0 1 0 0 0 0 0 1001 1 1
Time
t
s
0 10 5 0 2 0 0 1 0 0 0 0 0 0 1 1
Frequency
f
Hz
0 50 10 0 2 0 0 1 1000 0 0 0 0 0 1 1
1 1
524032 1 0 1
1 0 0 0 1 0 0 1 1 0 0 0.1 0 0 0 2500 0 0 0 1 132 132 297 140 0.4848484848 0 0 1
Path
s_A1
m
-1 1 1 0 3 0 0 1 0 1 1 0 0 -0.046 1 1
3 1001
1 0 -0.142
2 0.01 -0.145
3 0.02 -0.147
4 0.03 -0.15
5 0.04 -0.152
6 0.05 -0.154
7 0.06 -0.157
8 0.07 -0.158
9 0.08 -0.161
10 0.09 -0.162
11 0.1 -0.163
12 0.11 -0.165
13 0.12 -0.166
14 0.13 -0.167
15 0.14 -0.168
16 0.15 -0.169
17 0.16 -0.169
18 0.17 -0.169
19 0.18 -0.17
20 0.19 -0.17
21 0.2 -0.17
22 0.21 -0.17
23 0.22 -0.169
24 0.23 -0.169
25 0.24 -0.168
26 0.25 -0.167
27 0.26 -0.166
28 0.27 -0.165
29 0.28 -0.164
30 0.29 -0.163
31 0.3 -0.161
32 0.31 -0.159
33 0.32 -0.158
34 0.33 -0.156
35 0.34 -0.154
36 0.35 -0.152
37 0.36 -0.15
38 0.37 -0.147
39 0.38 -0.145
40 0.39 -0.142
41 0.4 -0.139
42 0.41 -0.137
43 0.42 -0.134
44 0.43 -0.131
45 0.44 -0.128
46 0.45 -0.125
47 0.46 -0.122
48 0.47 -0.118
49 0.48 -0.115
50 0.49 -0.111
51 0.5 -0.107
52 0.51 -0.104
53 0.52 -0.101
54 0.53 -0.097
55 0.54 -0.093
56 0.55 -0.09
57 0.56 -0.086
58 0.57 -0.082
59 0.58 -0.078
60 0.59 -0.074
61 0.6 -0.07
62 0.61 -0.066
63 0.62 -0.062
64 0.63 -0.058
65 0.64 -0.055
66 0.65 -0.051
67 0.66 -0.047
68 0.67 -0.043
69 0.68 -0.039
70 0.69 -0.035
71 0.7 -0.031
72 0.71 -0.028
73 0.72 -0.024
74 0.73 -0.021
75 0.74 -0.017
76 0.75 -0.014
77 0.76 -0.01
78 0.77 -0.006
79 0.78 -0.003
80 0.79 0
81 0.8 0.003
82 0.81 0.006
83 0.82 0.01
84 0.83 0.013
85 0.84 0.015
86 0.85 0.018
87 0.86 0.021
88 0.87 0.023
89 0.88 0.026
90 0.89 0.029
91 0.9 0.031
92 0.91 0.033
93 0.92 0.035
94 0.93 0.037
95 0.94 0.039
96 0.95 0.041
97 0.96 0.043
98 0.97 0.044
99 0.98 0.046
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1 0
1 524032 0
-1
-1
-1
-1
-1
-1
-1
0 0.01 10 1 0 -1 0 1 0 0 0 0 1
1
Standard
1 0 0 10 3 0 -1 1 -1 -1 -1 -1 -1 -1 -1 1 0 1 0 1 2 2 0 1 0
58432
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/pohl600.lab
0,0 → 1,1040
CL4
180 0.1
Index
n
0 1001 500 0 0 0 0 1 0 0 0 0 0 1001 1 1
Time
t
s
0 10 5 0 2 0 0 1 0 0 0 0 0 0 1 1
Frequency
f
Hz
0 50 10 0 2 0 0 1 1000 0 0 0 0 0 1 1
1 1
524032 1 0 1
1 0 0 0 1 0 0 1 1 0 0 0.1 0 0 0 2500 0 0 0 1 132 132 297 140 0.4848484848 0 0 1
Path
s_A1
m
-1 1 1 0 3 0 0 1 0 1 1 0 0 -0.046 1 1
3 1001
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707 7.06 -0.053
708 7.07 -0.053
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710 7.09 -0.053
711 7.1 -0.053
712 7.11 -0.053
713 7.12 -0.053
714 7.13 -0.053
715 7.14 -0.053
716 7.15 -0.053
717 7.16 -0.053
718 7.17 -0.053
719 7.18 -0.053
720 7.19 -0.053
721 7.2 -0.053
722 7.21 -0.053
723 7.22 -0.053
724 7.23 -0.053
725 7.24 -0.053
726 7.25 -0.053
727 7.26 -0.053
728 7.27 -0.053
729 7.28 -0.053
730 7.29 -0.053
731 7.3 -0.053
732 7.31 -0.053
733 7.32 -0.053
734 7.33 -0.053
735 7.34 -0.053
736 7.35 -0.053
737 7.36 -0.053
738 7.37 -0.052
739 7.38 -0.052
740 7.39 -0.052
741 7.4 -0.052
742 7.41 -0.052
743 7.42 -0.051
744 7.43 -0.051
745 7.44 -0.051
746 7.45 -0.051
747 7.46 -0.051
748 7.47 -0.051
749 7.48 -0.05
750 7.49 -0.05
751 7.5 -0.05
752 7.51 -0.05
753 7.52 -0.05
754 7.53 -0.05
755 7.54 -0.049
756 7.55 -0.049
757 7.56 -0.049
758 7.57 -0.049
759 7.58 -0.049
760 7.59 -0.048
761 7.6 -0.048
762 7.61 -0.048
763 7.62 -0.047
764 7.63 -0.047
765 7.64 -0.047
766 7.65 -0.047
767 7.66 -0.047
768 7.67 -0.046
769 7.68 -0.046
770 7.69 -0.046
771 7.7 -0.046
772 7.71 -0.046
773 7.72 -0.045
774 7.73 -0.045
775 7.74 -0.045
776 7.75 -0.045
777 7.76 -0.045
778 7.77 -0.044
779 7.78 -0.044
780 7.79 -0.044
781 7.8 -0.043
782 7.81 -0.043
783 7.82 -0.043
784 7.83 -0.043
785 7.84 -0.043
786 7.85 -0.043
787 7.86 -0.042
788 7.87 -0.042
789 7.88 -0.042
790 7.89 -0.042
791 7.9 -0.042
792 7.91 -0.042
793 7.92 -0.042
794 7.93 -0.042
795 7.94 -0.041
796 7.95 -0.041
797 7.96 -0.041
798 7.97 -0.041
799 7.98 -0.041
800 7.99 -0.041
801 8 -0.041
802 8.01 -0.041
803 8.02 -0.041
804 8.03 -0.041
805 8.04 -0.041
806 8.05 -0.041
807 8.06 -0.041
808 8.07 -0.041
809 8.08 -0.041
810 8.09 -0.041
811 8.1 -0.041
812 8.11 -0.041
813 8.12 -0.041
814 8.13 -0.041
815 8.14 -0.041
816 8.15 -0.041
817 8.16 -0.041
818 8.17 -0.041
819 8.18 -0.041
820 8.19 -0.041
821 8.2 -0.041
822 8.21 -0.041
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824 8.23 -0.041
825 8.24 -0.041
826 8.25 -0.041
827 8.26 -0.041
828 8.27 -0.041
829 8.28 -0.041
830 8.29 -0.042
831 8.3 -0.042
832 8.31 -0.042
833 8.32 -0.042
834 8.33 -0.042
835 8.34 -0.042
836 8.35 -0.042
837 8.36 -0.042
838 8.37 -0.043
839 8.38 -0.043
840 8.39 -0.043
841 8.4 -0.043
842 8.41 -0.043
843 8.42 -0.043
844 8.43 -0.043
845 8.44 -0.043
846 8.45 -0.043
847 8.46 -0.044
848 8.47 -0.044
849 8.48 -0.044
850 8.49 -0.044
851 8.5 -0.045
852 8.51 -0.045
853 8.52 -0.045
854 8.53 -0.045
855 8.54 -0.045
856 8.55 -0.045
857 8.56 -0.045
858 8.57 -0.045
859 8.58 -0.045
860 8.59 -0.045
861 8.6 -0.046
862 8.61 -0.046
863 8.62 -0.046
864 8.63 -0.046
865 8.64 -0.046
866 8.65 -0.046
867 8.66 -0.046
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871 8.7 -0.047
872 8.71 -0.047
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874 8.73 -0.047
875 8.74 -0.047
876 8.75 -0.047
877 8.76 -0.047
878 8.77 -0.047
879 8.78 -0.047
880 8.79 -0.047
881 8.8 -0.047
882 8.81 -0.048
883 8.82 -0.048
884 8.83 -0.048
885 8.84 -0.048
886 8.85 -0.048
887 8.86 -0.048
888 8.87 -0.048
889 8.88 -0.048
890 8.89 -0.048
891 8.9 -0.048
892 8.91 -0.048
893 8.92 -0.048
894 8.93 -0.048
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897 8.96 -0.049
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899 8.98 -0.049
900 8.99 -0.049
901 9 -0.049
902 9.01 -0.049
903 9.02 -0.049
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905 9.04 -0.049
906 9.05 -0.049
907 9.06 -0.049
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912 9.11 -0.048
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915 9.14 -0.048
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922 9.21 -0.047
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925 9.24 -0.047
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951 9.5 -0.045
952 9.51 -0.045
953 9.52 -0.045
954 9.53 -0.045
955 9.54 -0.045
956 9.55 -0.045
957 9.56 -0.045
958 9.57 -0.045
959 9.58 -0.045
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963 9.62 -0.045
964 9.63 -0.045
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987 9.86 -0.045
988 9.87 -0.045
989 9.88 -0.045
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993 9.92 -0.045
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995 9.94 -0.045
996 9.95 -0.045
997 9.96 -0.045
998 9.97 -0.045
999 9.98 -0.045
1000 9.99 -0.045
1001 10 -0.045
1 0
1 524032 0
-1
-1
-1
-1
-1
-1
-1
0 0.01 10 1 0 -1 0 1 0 0 0 0 1
1
Standard
1 0 0 10 3 0 -1 1 -1 -1 -1 -1 -1 -1 -1 1 0 1 0 1 2 2 0 1 0
58432
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/pohl700.lab
0,0 → 1,1040
CL4
180 0.1
Index
n
0 1001 500 0 0 0 0 1 0 0 0 0 0 1001 1 1
Time
t
s
0 10 5 0 2 0 0 1 0 0 0 0 0 0 1 1
Frequency
f
Hz
0 50 10 0 2 0 0 1 1000 0 0 0 0 0 1 1
1 1
524032 1 0 1
1 0 0 0 1 0 0 1 1 0 0 0.1 0 0 0 2500 0 0 0 1 132 132 297 140 0.4848484848 0 0 1
Path
s_A1
m
-1 1 1 0 3 0 0 1 0 1 1 0 0 -0.046 1 1
3 1001
1 0 -0.197
2 0.01 -0.197
3 0.02 -0.197
4 0.03 -0.197
5 0.04 -0.197
6 0.05 -0.197
7 0.06 -0.196
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9 0.08 -0.195
10 0.09 -0.194
11 0.1 -0.193
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14 0.13 -0.189
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16 0.15 -0.186
17 0.16 -0.183
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24 0.23 -0.166
25 0.24 -0.163
26 0.25 -0.161
27 0.26 -0.157
28 0.27 -0.154
29 0.28 -0.15
30 0.29 -0.147
31 0.3 -0.143
32 0.31 -0.139
33 0.32 -0.136
34 0.33 -0.132
35 0.34 -0.128
36 0.35 -0.124
37 0.36 -0.12
38 0.37 -0.116
39 0.38 -0.112
40 0.39 -0.108
41 0.4 -0.103
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43 0.42 -0.095
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63 0.62 -0.011
64 0.63 -0.008
65 0.64 -0.005
66 0.65 -0.001
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68 0.67 0.006
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72 0.71 0.018
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78 0.77 0.034
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81 0.8 0.04
82 0.81 0.042
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84 0.83 0.045
85 0.84 0.046
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122 1.21 0.018
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516 5.15 -0.05
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518 5.17 -0.051
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524 5.23 -0.053
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528 5.27 -0.054
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533 5.32 -0.055
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536 5.35 -0.055
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558 5.57 -0.055
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565 5.64 -0.054
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602 6.01 -0.043
603 6.02 -0.043
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605 6.04 -0.043
606 6.05 -0.043
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614 6.13 -0.041
615 6.14 -0.041
616 6.15 -0.041
617 6.16 -0.041
618 6.17 -0.041
619 6.18 -0.041
620 6.19 -0.041
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622 6.21 -0.04
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624 6.23 -0.04
625 6.24 -0.04
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627 6.26 -0.04
628 6.27 -0.04
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630 6.29 -0.039
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634 6.33 -0.039
635 6.34 -0.039
636 6.35 -0.039
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638 6.37 -0.039
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655 6.54 -0.041
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670 6.69 -0.043
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715 7.14 -0.049
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718 7.17 -0.049
719 7.18 -0.049
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735 7.34 -0.049
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737 7.36 -0.049
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810 8.09 -0.044
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812 8.11 -0.044
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814 8.13 -0.044
815 8.14 -0.044
816 8.15 -0.044
817 8.16 -0.044
818 8.17 -0.044
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820 8.19 -0.044
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823 8.22 -0.044
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825 8.24 -0.044
826 8.25 -0.044
827 8.26 -0.044
828 8.27 -0.044
829 8.28 -0.044
830 8.29 -0.044
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832 8.31 -0.045
833 8.32 -0.045
834 8.33 -0.045
835 8.34 -0.045
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837 8.36 -0.045
838 8.37 -0.045
839 8.38 -0.045
840 8.39 -0.045
841 8.4 -0.045
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843 8.42 -0.045
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845 8.44 -0.045
846 8.45 -0.045
847 8.46 -0.045
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849 8.48 -0.045
850 8.49 -0.045
851 8.5 -0.045
852 8.51 -0.045
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854 8.53 -0.045
855 8.54 -0.045
856 8.55 -0.045
857 8.56 -0.045
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859 8.58 -0.045
860 8.59 -0.045
861 8.6 -0.045
862 8.61 -0.045
863 8.62 -0.046
864 8.63 -0.046
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886 8.85 -0.046
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891 8.9 -0.046
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902 9.01 -0.046
903 9.02 -0.046
904 9.03 -0.046
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906 9.05 -0.046
907 9.06 -0.046
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909 9.08 -0.046
910 9.09 -0.046
911 9.1 -0.046
912 9.11 -0.046
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914 9.13 -0.046
915 9.14 -0.046
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919 9.18 -0.046
920 9.19 -0.046
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924 9.23 -0.046
925 9.24 -0.046
926 9.25 -0.046
927 9.26 -0.046
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930 9.29 -0.046
931 9.3 -0.046
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934 9.33 -0.046
935 9.34 -0.046
936 9.35 -0.046
937 9.36 -0.046
938 9.37 -0.046
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940 9.39 -0.046
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946 9.45 -0.046
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950 9.49 -0.046
951 9.5 -0.046
952 9.51 -0.046
953 9.52 -0.046
954 9.53 -0.046
955 9.54 -0.046
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957 9.56 -0.046
958 9.57 -0.046
959 9.58 -0.046
960 9.59 -0.046
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969 9.68 -0.046
970 9.69 -0.046
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984 9.83 -0.046
985 9.84 -0.046
986 9.85 -0.046
987 9.86 -0.046
988 9.87 -0.046
989 9.88 -0.046
990 9.89 -0.046
991 9.9 -0.046
992 9.91 -0.046
993 9.92 -0.046
994 9.93 -0.046
995 9.94 -0.046
996 9.95 -0.046
997 9.96 -0.046
998 9.97 -0.046
999 9.98 -0.046
1000 9.99 -0.046
1001 10 -0.046
1 0
1 524032 0
-1
-1
-1
-1
-1
-1
-1
0 0.01 10 1 0 -1 0 1 0 0 0 0 1
1
Standard
1 0 0 10 3 0 -1 1 -1 -1 -1 -1 -1 -1 -1 1 0 1 0 1 2 2 0 1 0
58432
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/dynamik_d1.txt
0,0 → 1,620
VCMOT1
t
s
0 7.2875 1 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
1 584
2012
1926
1840
1758
1682
1616
1560
1518
1490
1477
1480
1498
1530
1576
1633
1701
1775
1853
1933
2012
2088
2154
2213
2260
2294
2316
2321
2313
2290
2254
2206
2149
2084
2012
1938
1863
1791
1724
1665
1615
1575
1548
1534
1535
1548
1575
1613
1661
1718
1781
1849
1919
1987
2052
2112
2164
2208
2239
2259
2266
2261
2243
2214
2174
2125
2068
2008
1944
1878
1815
1757
1704
1659
1623
1599
1585
1583
1594
1615
1647
1687
1736
1791
1849
1909
1969
2027
2079
2126
2164
2194
2212
2220
2216
2202
2178
2144
2104
2054
2002
1946
1890
1835
1784
1736
1697
1665
1643
1629
1627
1635
1652
1678
1712
1754
1800
1851
1903
1955
2005
2052
2093
2128
2154
2172
2180
2178
2167
2147
2119
2083
2042
1996
1948
1898
1850
1804
1762
1727
1698
1677
1665
1662
1667
1682
1704
1733
1769
1810
1854
1900
1945
1990
2030
2067
2098
2122
2138
2146
2146
2137
2121
2096
2066
2030
1990
1948
1904
1862
1822
1785
1753
1727
1708
1696
1693
1697
1708
1727
1752
1783
1818
1856
1896
1937
1976
2012
2045
2072
2094
2109
2116
2118
2110
2096
2075
2050
2019
1984
1948
1910
1873
1837
1805
1776
1753
1736
1725
1721
1724
1733
1749
1771
1797
1827
1860
1895
1929
1964
1996
2025
2049
2068
2082
2090
2090
2084
2072
2056
2034
2008
1978
1946
1912
1880
1849
1821
1796
1775
1760
1749
1745
1747
1755
1769
1787
1809
1835
1864
1893
1925
1954
1982
2008
2029
2046
2058
2066
2066
2062
2052
2038
2020
1996
1971
1944
1915
1887
1860
1835
1813
1795
1781
1772
1768
1769
1775
1786
1802
1821
1843
1867
1894
1920
1946
1970
1993
2012
2028
2038
2045
2046
2044
2036
2024
2008
1988
1966
1942
1918
1893
1870
1848
1828
1812
1800
1791
1787
1788
1793
1802
1815
1831
1851
1871
1894
1917
1939
1961
1980
1997
2010
2020
2026
2028
2026
2020
2009
1996
1979
1960
1940
1919
1897
1877
1858
1841
1827
1816
1808
1805
1805
1809
1817
1828
1842
1858
1876
1895
1915
1934
1952
1969
1984
1996
2004
2010
2011
2010
2004
1996
1984
1971
1955
1937
1919
1901
1884
1867
1853
1841
1831
1824
1821
1821
1824
1831
1840
1851
1865
1880
1896
1913
1929
1945
1959
1972
1982
1990
1995
1997
1996
1991
1984
1975
1963
1949
1935
1920
1904
1889
1875
1863
1853
1844
1838
1835
1835
1837
1843
1850
1860
1871
1884
1897
1911
1925
1939
1951
1962
1971
1978
1982
1983
1982
1979
1973
1965
1956
1945
1932
1919
1907
1894
1882
1871
1863
1855
1850
1847
1847
1849
1853
1859
1867
1877
1887
1899
1911
1922
1933
1943
1953
1960
1966
1970
1971
1971
1968
1964
1957
1949
1940
1930
1919
1909
1899
1889
1880
1872
1866
1862
1859
1859
1860
1863
1868
1875
1883
1891
1901
1910
1919
1928
1937
1945
1951
1955
1959
1960
1960
1958
1955
1949
1943
1936
1928
1919
1911
1902
1894
1887
1881
1876
1872
1870
1869
1871
1873
1877
1882
1888
1895
1902
1909
1917
1925
1931
1937
1942
1947
1949
1950
1950
1948
1946
1942
1937
1931
1925
1918
1911
1905
1899
1893
1888
1884
1881
1879
1879
1880
1882
1885
1888
1893
1898
1904
1910
1915
1921
1927
1931
1935
1938
1940
1941
1941
1940
1938
1935
1931
1927
1922
1917
1912
1907
1903
1898
1894
1891
1889
1888
1887
1888
1889
1891
1894
1897
1901
1905
1909
1914
1918
1922
0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/dynamik_d2(ne).txt
0,0 → 1,346
VCMOT1
t
s
0 3.8625 1 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
1 310
2182
2129
2068
2004
1936
1870
1805
1746
1694
1651
1617
1595
1584
1585
1598
1622
1655
1698
1747
1802
1859
1918
1976
2030
2078
2121
2155
2179
2194
2199
2193
2177
2152
2120
2079
2034
1985
1934
1883
1835
1789
1749
1715
1689
1671
1663
1663
1672
1689
1715
1746
1783
1824
1868
1913
1956
1998
2036
2068
2095
2114
2126
2130
2126
2116
2098
2072
2043
2008
1971
1932
1893
1856
1822
1791
1765
1744
1731
1723
1723
1729
1741
1760
1784
1811
1843
1876
1909
1943
1974
2003
2028
2048
2063
2072
2075
2073
2065
2052
2034
2011
1986
1959
1929
1900
1872
1846
1822
1802
1786
1775
1769
1769
1773
1782
1795
1813
1834
1857
1883
1907
1933
1957
1979
1997
2013
2025
2032
2036
2034
2028
2019
2005
1989
1970
1949
1927
1905
1885
1865
1847
1831
1819
1811
1806
1805
1808
1815
1824
1837
1853
1869
1888
1907
1925
1944
1960
1974
1986
1995
2001
2003
2002
1999
1992
1982
1970
1956
1941
1925
1909
1893
1879
1865
1854
1845
1838
1834
1833
1835
1840
1847
1857
1867
1880
1893
1907
1921
1934
1946
1956
1965
1972
1976
1978
1978
1975
1970
1963
1955
1945
1934
1923
1911
1899
1889
1879
1871
1864
1859
1857
1855
1857
1859
1865
1871
1879
1888
1897
1907
1917
1926
1935
1943
1949
1953
1957
1958
1958
1956
1953
1948
1943
1936
1928
1920
1912
1905
1897
1890
1884
1879
1876
1873
1873
1874
1876
1879
1883
1889
1895
1901
1908
1914
1921
1927
1931
1936
1939
1941
1943
1942
1942
1940
1937
1933
1929
1924
1919
1913
1908
1903
1898
1894
1891
1889
1887
1887
1887
1889
1891
1893
1897
1900
1905
1909
1913
1917
1920
1923
1926
1928
1929
1931
1931
1929
1929
1927
1925
1922
1919
1917
1913
1911
1907
1905
1902
1900
1899
1898
0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/dynamik_d3(ne).txt
0,0 → 1,523
VCMOT1
t
s
0 6.075 1 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
1 487
1421
1414
1425
1452
1495
1552
1622
1701
1787
1877
1968
2054
2136
2209
2271
2319
2351
2369
2370
2355
2324
2280
2222
2153
2078
1998
1914
1833
1756
1685
1623
1572
1534
1509
1499
1504
1524
1556
1602
1657
1722
1792
1866
1940
2014
2083
2145
2198
2241
2271
2288
2291
2282
2259
2224
2178
2124
2062
1996
1928
1860
1794
1734
1680
1635
1601
1578
1567
1569
1583
1607
1644
1689
1742
1801
1864
1927
1989
2048
2101
2148
2185
2213
2229
2233
2227
2209
2181
2143
2098
2046
1990
1932
1875
1818
1765
1719
1681
1651
1630
1620
1621
1631
1651
1681
1719
1763
1812
1864
1918
1972
2022
2068
2108
2140
2165
2180
2184
2180
2166
2142
2112
2073
2030
1984
1934
1884
1837
1792
1752
1718
1692
1673
1665
1663
1673
1689
1714
1745
1783
1823
1867
1913
1958
2001
2040
2075
2103
2124
2138
2142
2140
2128
2110
2084
2052
2016
1976
1935
1893
1852
1814
1780
1750
1727
1711
1702
1701
1707
1721
1741
1767
1798
1833
1869
1909
1947
1983
2018
2047
2072
2090
2102
2108
2106
2098
2082
2060
2034
2004
1970
1936
1900
1865
1832
1803
1778
1758
1743
1735
1734
1738
1749
1766
1787
1813
1843
1874
1907
1939
1970
1999
2024
2046
2062
2072
2077
2075
2069
2056
2039
2017
1992
1964
1934
1904
1875
1847
1822
1800
1783
1771
1763
1761
1765
1773
1787
1804
1826
1851
1877
1905
1932
1959
1984
2005
2024
2038
2048
2052
2052
2046
2036
2022
2003
1982
1958
1933
1907
1883
1859
1837
1819
1804
1793
1787
1785
1787
1795
1806
1820
1839
1859
1881
1903
1927
1949
1970
1988
2004
2016
2025
2029
2029
2025
2017
2006
1990
1973
1953
1932
1912
1890
1871
1853
1837
1824
1814
1809
1807
1808
1813
1822
1835
1849
1865
1883
1903
1921
1940
1957
1973
1986
1997
2004
2008
2008
2006
1998
1990
1978
1964
1948
1931
1913
1896
1880
1864
1851
1841
1832
1827
1825
1827
1831
1837
1847
1859
1873
1887
1903
1918
1933
1948
1961
1972
1981
1987
1991
1991
1989
1984
1977
1967
1956
1943
1929
1915
1901
1887
1875
1864
1855
1848
1843
1841
1842
1845
1851
1858
1867
1878
1890
1903
1915
1928
1940
1951
1960
1968
1973
1976
1977
1975
1971
1966
1958
1949
1939
1927
1915
1905
1893
1883
1874
1867
1861
1857
1855
1856
1858
1862
1868
1876
1884
1894
1904
1914
1924
1934
1943
1950
1956
1961
1964
1964
1963
1960
1955
1950
1942
1934
1925
1916
1907
1898
1889
1883
1877
1872
1869
1867
1867
1869
1872
1877
1883
1889
1897
1905
1912
1921
1928
1935
1941
1946
1950
1952
1953
1952
1950
1946
1942
1936
1930
1923
1916
1909
1903
1896
1891
1886
1882
1879
1878
1878
1879
1881
1885
1889
1894
1899
1905
1912
1918
1923
1929
1933
1937
1940
1942
1942
1942
1940
1938
1935
1931
0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/data/dynamik_d4.txt
0,0 → 1,797
VCMOT1
t
s
0 9.5 1 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
1 761
1760
1628
1507
1401
1313
1247
1207
1189
1199
1233
1291
1372
1471
1584
1709
1840
1973
2103
2225
2335
2431
2507
2561
2593
2601
2583
2543
2481
2399
2301
2189
2069
1944
1819
1698
1587
1487
1404
1339
1295
1273
1273
1295
1340
1405
1487
1584
1691
1807
1925
2042
2154
2256
2346
2420
2475
2511
2525
2517
2489
2439
2371
2289
2193
2087
1977
1866
1756
1653
1561
1482
1418
1373
1345
1339
1354
1387
1440
1508
1591
1685
1785
1890
1996
2097
2191
2276
2345
2399
2437
2455
2454
2434
2395
2340
2271
2188
2097
1999
1900
1801
1708
1622
1547
1487
1442
1412
1402
1409
1434
1476
1533
1603
1685
1773
1865
1959
2051
2137
2214
2280
2334
2370
2392
2396
2382
2352
2307
2248
2178
2098
2012
1924
1836
1752
1674
1605
1547
1503
1474
1460
1463
1482
1515
1563
1624
1694
1771
1852
1936
2018
2096
2167
2228
2278
2314
2335
2342
2333
2310
2273
2223
2162
2093
2018
1940
1860
1784
1713
1649
1596
1554
1526
1510
1510
1525
1552
1593
1644
1704
1772
1844
1918
1992
2062
2127
2183
2229
2263
2285
2295
2289
2271
2239
2197
2145
2084
2018
1948
1878
1810
1745
1687
1639
1599
1571
1556
1554
1564
1586
1620
1664
1717
1776
1840
1905
1972
2035
2094
2145
2188
2220
2242
2252
2249
2234
2208
2172
2127
2074
2016
1955
1892
1831
1772
1721
1676
1639
1613
1597
1593
1601
1619
1648
1685
1731
1783
1839
1897
1956
2013
2065
2112
2152
2182
2203
2214
2213
2201
2179
2149
2109
2063
2011
1957
1901
1846
1793
1746
1704
1670
1646
1631
1626
1631
1647
1671
1704
1744
1790
1840
1892
1945
1996
2044
2087
2123
2152
2171
2183
2183
2173
2155
2127
2093
2052
2006
1957
1906
1856
1809
1766
1728
1697
1673
1659
1653
1658
1671
1692
1721
1757
1798
1843
1890
1937
1984
2028
2067
2100
2126
2146
2156
2156
2149
2134
2110
2079
2042
2002
1958
1912
1868
1825
1786
1750
1722
1700
1686
1681
1683
1694
1712
1738
1770
1806
1846
1888
1931
1972
2012
2048
2077
2102
2120
2130
2132
2125
2112
2092
2064
2032
1996
1956
1916
1876
1836
1800
1768
1742
1722
1709
1703
1705
1714
1730
1752
1780
1812
1848
1886
1924
1962
1998
2032
2059
2082
2098
2108
2111
2106
2094
2076
2052
2024
1990
1956
1918
1882
1847
1814
1785
1761
1742
1729
1724
1724
1732
1746
1766
1791
1820
1852
1886
1921
1955
1988
2017
2043
2064
2079
2088
2090
2088
2077
2061
2040
2015
1986
1954
1921
1888
1856
1827
1800
1778
1761
1750
1744
1744
1750
1763
1780
1801
1827
1855
1885
1917
1947
1976
2004
2026
2046
2060
2068
2072
2068
2060
2047
2028
2006
1980
1952
1922
1894
1864
1838
1814
1794
1778
1767
1761
1760
1766
1776
1791
1810
1833
1858
1885
1913
1940
1967
1992
2012
2030
2043
2052
2055
2053
2046
2034
2018
1998
1976
1950
1924
1898
1872
1848
1826
1808
1793
1783
1778
1776
1780
1790
1803
1820
1840
1862
1886
1911
1935
1959
1981
2000
2016
2028
2036
2039
2038
2032
2022
2008
1991
1971
1949
1926
1902
1880
1858
1839
1822
1808
1800
1794
1793
1796
1804
1814
1829
1846
1866
1887
1909
1930
1951
1970
1988
2002
2012
2020
2024
2022
2018
2010
1998
1982
1966
1946
1926
1904
1884
1866
1848
1833
1821
1812
1808
1806
1808
1815
1824
1836
1852
1869
1888
1907
1926
1944
1962
1978
1990
2000
2008
2010
2010
2006
1999
1989
1976
1960
1944
1926
1908
1890
1873
1857
1844
1833
1824
1820
1818
1820
1825
1833
1844
1857
1872
1888
1905
1922
1939
1954
1968
1980
1989
1996
1998
1999
1996
1990
1981
1970
1956
1942
1926
1910
1894
1880
1866
1854
1844
1836
1832
1830
1832
1836
1842
1852
1863
1876
1890
1904
1919
1934
1947
1959
1970
1978
1984
1987
1988
1984
1980
1972
1963
1952
1939
1926
1912
1898
1884
1872
1862
1854
1847
1842
1841
1842
1845
1851
1859
1868
1880
1892
1904
1917
1930
1942
1952
1962
1969
1974
1977
1978
1976
1972
1966
1957
1948
1937
1925
1913
1901
1890
1879
1870
1862
1856
1853
1851
1851
1854
1859
1866
1874
1883
1893
1904
1915
1926
1936
1946
1954
1960
1965
1968
1968
1966
1964
1958
1952
1944
1934
1924
1914
1904
1894
1885
1877
1871
1865
1862
1860
1861
1863
1867
1872
1879
1887
1896
1904
1914
1923
1932
1940
1946
1952
1956
1958
1959
1958
1955
1951
1946
1939
1931
1923
0.0125
10 -1 2 0 10 1
0 0 0
0 0 1 0 4000
1
3 0
0 0
0 1 0 1
0 1 0 1
58462
Property changes:
Added: svn:executable
+*
\ No newline at end of property

/dokumenty/skolni/PRA1/10-Oscilace/osc1.txt
0,0 → 1,911
0.000 1435 10
0.013 1417 10
0.025 1415 10
0.038 1432 10
0.050 1466 10
0.063 1516 10
0.075 1579 10
0.088 1655 10
0.100 1741 10
0.113 1831 10
0.125 1927 10
0.138 2020 10
0.150 2110 10
0.163 2192 10
0.175 2265 10
0.188 2325 10
0.200 2370 10
0.213 2399 10
0.225 2410 10
0.238 2405 10
0.250 2382 10
0.263 2342 10
0.275 2287 10
0.288 2218 10
0.300 2140 10
0.313 2052 10
0.325 1961 10
0.338 1868 10
0.350 1777 10
0.363 1692 10
0.375 1614 10
0.388 1548 10
0.400 1496 10
0.413 1458 10
0.425 1436 10
0.438 1432 10
0.450 1446 10
0.463 1476 10
0.475 1522 10
0.488 1582 10
0.500 1653 10
0.513 1735 10
0.525 1822 10
0.538 1912 10
0.550 2003 10
0.563 2091 10
0.575 2172 10
0.588 2242 10
0.600 2302 10
0.613 2348 10
0.625 2378 10
0.638 2392 10
0.650 2388 10
0.663 2368 10
0.675 2332 10
0.688 2281 10
0.700 2217 10
0.713 2142 10
0.725 2059 10
0.738 1972 10
0.750 1882 10
0.763 1794 10
0.775 1710 10
0.788 1634 10
0.800 1569 10
0.813 1516 10
0.825 1478 10
0.838 1454 10
0.850 1448 10
0.863 1459 10
0.875 1486 10
0.888 1528 10
0.900 1585 10
0.913 1652 10
0.925 1729 10
0.938 1813 10
0.950 1900 10
0.963 1988 10
0.975 2073 10
0.988 2152 10
1.000 2222 10
1.013 2282 10
1.025 2328 10
1.038 2360 10
1.050 2374 10
1.063 2374 10
1.075 2356 10
1.088 2323 10
1.100 2277 10
1.113 2214 10
1.125 2143 10
1.138 2064 10
1.150 1980 10
1.163 1893 10
1.175 1808 10
1.188 1727 10
1.200 1653 10
1.213 1589 10
1.225 1536 10
1.238 1498 10
1.250 1474 10
1.263 1466 10
1.275 1474 10
1.288 1499 10
1.300 1537 10
1.313 1589 10
1.325 1652 10
1.338 1725 10
1.350 1804 10
1.363 1888 10
1.375 1972 10
1.388 2054 10
1.400 2132 10
1.413 2201 10
1.425 2259 10
1.438 2306 10
1.450 2339 10
1.463 2356 10
1.475 2357 10
1.488 2343 10
1.500 2313 10
1.513 2270 10
1.525 2213 10
1.538 2147 10
1.550 2071 10
1.563 1991 10
1.575 1908 10
1.588 1824 10
1.600 1745 10
1.613 1673 10
1.625 1609 10
1.638 1556 10
1.650 1516 10
1.663 1492 10
1.675 1482 10
1.688 1487 10
1.700 1508 10
1.713 1544 10
1.725 1593 10
1.738 1653 10
1.750 1722 10
1.763 1798 10
1.775 1880 10
1.788 1962 10
1.800 2041 10
1.813 2117 10
1.825 2185 10
1.838 2243 10
1.850 2289 10
1.863 2321 10
1.875 2339 10
1.888 2343 10
1.900 2331 10
1.913 2303 10
1.925 2262 10
1.938 2209 10
1.950 2145 10
1.963 2072 10
1.975 1996 10
1.988 1916 10
2.000 1835 10
2.013 1758 10
2.025 1687 10
2.038 1625 10
2.050 1573 10
2.063 1533 10
2.075 1508 10
2.088 1497 10
2.100 1501 10
2.113 1520 10
2.125 1553 10
2.138 1599 10
2.150 1657 10
2.163 1723 10
2.175 1795 10
2.188 1873 10
2.200 1952 10
2.213 2029 10
2.225 2102 10
2.238 2168 10
2.250 2226 10
2.263 2272 10
2.275 2305 10
2.288 2324 10
2.300 2328 10
2.313 2318 10
2.325 2292 10
2.338 2254 10
2.350 2204 10
2.363 2144 10
2.375 2074 10
2.388 2000 10
2.400 1924 10
2.413 1847 10
2.425 1771 10
2.438 1703 10
2.450 1641 10
2.463 1591 10
2.475 1551 10
2.488 1524 10
2.500 1512 10
2.513 1514 10
2.525 1532 10
2.538 1562 10
2.550 1605 10
2.563 1659 10
2.575 1723 10
2.588 1793 10
2.600 1867 10
2.613 1944 10
2.625 2020 10
2.638 2091 10
2.650 2156 10
2.663 2212 10
2.675 2258 10
2.688 2290 10
2.700 2310 10
2.713 2314 10
2.725 2306 10
2.738 2284 10
2.750 2247 10
2.763 2199 10
2.775 2141 10
2.788 2074 10
2.800 2004 10
2.813 1928 10
2.825 1854 10
2.838 1780 10
2.850 1714 10
2.863 1653 10
2.875 1602 10
2.888 1563 10
2.900 1537 10
2.913 1523 10
2.925 1525 10
2.938 1540 10
2.950 1569 10
2.963 1610 10
2.975 1662 10
2.988 1723 10
3.000 1790 10
3.013 1863 10
3.025 1938 10
3.038 2010 10
3.050 2079 10
3.063 2144 10
3.075 2198 10
3.088 2244 10
3.100 2278 10
3.113 2297 10
3.125 2303 10
3.138 2296 10
3.150 2275 10
3.163 2240 10
3.175 2194 10
3.188 2139 10
3.200 2075 10
3.213 2006 10
3.225 1934 10
3.238 1860 10
3.250 1790 10
3.263 1724 10
3.275 1665 10
3.288 1615 10
3.300 1576 10
3.313 1549 10
3.325 1536 10
3.338 1537 10
3.350 1551 10
3.363 1578 10
3.375 1617 10
3.388 1667 10
3.400 1725 10
3.413 1790 10
3.425 1860 10
3.438 1931 10
3.450 2002 10
3.463 2069 10
3.475 2131 10
3.488 2184 10
3.500 2230 10
3.513 2262 10
3.525 2282 10
3.538 2290 10
3.550 2283 10
3.563 2264 10
3.575 2232 10
3.588 2189 10
3.600 2136 10
3.613 2074 10
3.625 2008 10
3.638 1938 10
3.650 1868 10
3.663 1800 10
3.675 1735 10
3.688 1677 10
3.700 1629 10
3.713 1590 10
3.725 1564 10
3.738 1550 10
3.750 1548 10
3.763 1562 10
3.775 1586 10
3.788 1623 10
3.800 1669 10
3.813 1725 10
3.825 1788 10
3.838 1855 10
3.850 1925 10
3.863 1994 10
3.875 2060 10
3.888 2120 10
3.900 2174 10
3.913 2218 10
3.925 2250 10
3.938 2272 10
3.950 2280 10
3.963 2275 10
3.975 2256 10
3.988 2226 10
4.000 2185 10
4.013 2134 10
4.025 2074 10
4.038 2010 10
4.050 1942 10
4.063 1874 10
4.075 1808 10
4.088 1744 10
4.100 1688 10
4.113 1639 10
4.125 1601 10
4.138 1574 10
4.150 1560 10
4.163 1558 10
4.175 1569 10
4.188 1593 10
4.200 1627 10
4.213 1673 10
4.225 1727 10
4.238 1787 10
4.250 1852 10
4.263 1919 10
4.275 1986 10
4.288 2051 10
4.300 2110 10
4.313 2162 10
4.325 2206 10
4.338 2238 10
4.350 2260 10
4.363 2269 10
4.375 2265 10
4.388 2248 10
4.400 2220 10
4.413 2180 10
4.425 2132 10
4.438 2075 10
4.450 2013 10
4.463 1947 10
4.475 1880 10
4.488 1815 10
4.500 1754 10
4.513 1698 10
4.525 1650 10
4.538 1613 10
4.550 1585 10
4.563 1571 10
4.575 1567 10
4.588 1577 10
4.600 1599 10
4.613 1633 10
4.625 1677 10
4.638 1728 10
4.650 1787 10
4.663 1850 10
4.675 1915 10
4.688 1981 10
4.700 2044 10
4.713 2102 10
4.725 2154 10
4.738 2196 10
4.750 2228 10
4.763 2250 10
4.775 2260 10
4.788 2256 10
4.800 2240 10
4.813 2214 10
4.825 2176 10
4.838 2128 10
4.850 2074 10
4.863 2014 10
4.875 1950 10
4.888 1884 10
4.900 1820 10
4.913 1760 10
4.925 1706 10
4.938 1659 10
4.950 1621 10
4.963 1595 10
4.975 1579 10
4.988 1577 10
5.000 1585 10
5.013 1605 10
5.025 1638 10
5.038 1679 10
5.050 1729 10
5.063 1786 10
5.075 1847 10
5.088 1911 10
5.100 1975 10
5.113 2037 10
5.125 2094 10
5.138 2144 10
5.150 2187 10
5.163 2220 10
5.175 2240 10
5.188 2250 10
5.200 2248 10
5.213 2234 10
5.225 2208 10
5.238 2172 10
5.250 2126 10
5.263 2074 10
5.275 2015 10
5.288 1953 10
5.300 1889 10
5.313 1827 10
5.325 1768 10
5.338 1715 10
5.350 1669 10
5.363 1631 10
5.375 1605 10
5.388 1589 10
5.400 1585 10
5.413 1593 10
5.425 1613 10
5.438 1643 10
5.450 1683 10
5.463 1731 10
5.475 1785 10
5.488 1845 10
5.500 1907 10
5.513 1969 10
5.525 2029 10
5.538 2084 10
5.550 2134 10
5.563 2176 10
5.575 2209 10
5.588 2230 10
5.600 2240 10
5.613 2239 10
5.625 2226 10
5.638 2202 10
5.650 2168 10
5.663 2124 10
5.675 2073 10
5.688 2017 10
5.700 1957 10
5.713 1896 10
5.725 1835 10
5.738 1777 10
5.750 1725 10
5.763 1681 10
5.775 1643 10
5.788 1615 10
5.800 1599 10
5.813 1595 10
5.825 1601 10
5.838 1619 10
5.850 1648 10
5.863 1686 10
5.875 1732 10
5.888 1785 10
5.900 1841 10
5.913 1902 10
5.925 1963 10
5.938 2021 10
5.950 2075 10
5.963 2125 10
5.975 2166 10
5.988 2198 10
6.000 2220 10
6.013 2231 10
6.025 2231 10
6.038 2220 10
6.050 2196 10
6.063 2164 10
6.075 2122 10
6.088 2073 10
6.100 2019 10
6.113 1960 10
6.125 1901 10
6.138 1841 10
6.150 1785 10
6.163 1733 10
6.175 1689 10
6.188 1652 10
6.200 1625 10
6.213 1609 10
6.225 1603 10
6.238 1609 10
6.250 1625 10
6.263 1653 10
6.275 1689 10
6.288 1733 10
6.300 1784 10
6.313 1839 10
6.325 1897 10
6.338 1957 10
6.350 2015 10
6.363 2067 10
6.375 2116 10
6.388 2156 10
6.400 2189 10
6.413 2211 10
6.425 2222 10
6.438 2223 10
6.450 2213 10
6.463 2191 10
6.475 2160 10
6.488 2120 10
6.500 2073 10
6.513 2020 10
6.525 1963 10
6.538 1905 10
6.550 1847 10
6.563 1792 10
6.575 1741 10
6.588 1697 10
6.600 1661 10
6.613 1634 10
6.625 1617 10
6.638 1611 10
6.650 1617 10
6.663 1631 10
6.675 1657 10
6.688 1693 10
6.700 1735 10
6.713 1784 10
6.725 1838 10
6.738 1895 10
6.750 1952 10
6.763 2008 10
6.775 2061 10
6.788 2108 10
6.800 2148 10
6.813 2180 10
6.825 2202 10
6.838 2214 10
6.850 2215 10
6.863 2206 10
6.875 2185 10
6.888 2156 10
6.900 2118 10
6.913 2072 10
6.925 2021 10
6.938 1966 10
6.950 1909 10
6.963 1853 10
6.975 1799 10
6.988 1750 10
7.000 1707 10
7.013 1671 10
7.025 1644 10
7.038 1627 10
7.050 1621 10
7.063 1625 10
7.075 1639 10
7.088 1663 10
7.100 1697 10
7.113 1738 10
7.125 1785 10
7.138 1837 10
7.150 1892 10
7.163 1948 10
7.175 2003 10
7.188 2054 10
7.200 2100 10
7.213 2140 10
7.225 2171 10
7.238 2193 10
7.250 2206 10
7.263 2206 10
7.275 2198 10
7.288 2179 10
7.300 2150 10
7.313 2114 10
7.325 2069 10
7.338 2020 10
7.350 1967 10
7.363 1912 10
7.375 1857 10
7.388 1804 10
7.400 1756 10
7.413 1713 10
7.425 1678 10
7.438 1651 10
7.450 1635 10
7.463 1627 10
7.475 1631 10
7.488 1645 10
7.500 1669 10
7.513 1700 10
7.525 1739 10
7.538 1786 10
7.550 1837 10
7.563 1891 10
7.575 1944 10
7.588 1997 10
7.600 2048 10
7.613 2093 10
7.625 2132 10
7.638 2162 10
7.650 2185 10
7.663 2198 10
7.675 2200 10
7.688 2192 10
7.700 2174 10
7.713 2148 10
7.725 2112 10
7.738 2068 10
7.750 2022 10
7.763 1970 10
7.775 1915 10
7.788 1861 10
7.800 1810 10
7.813 1763 10
7.825 1721 10
7.838 1686 10
7.850 1659 10
7.863 1643 10
7.875 1635 10
7.888 1637 10
7.900 1651 10
7.913 1673 10
7.925 1704 10
7.938 1742 10
7.950 1786 10
7.963 1835 10
7.975 1887 10
7.988 1940 10
8.000 1992 10
8.013 2042 10
8.025 2086 10
8.038 2124 10
8.050 2155 10
8.063 2178 10
8.075 2190 10
8.088 2192 10
8.100 2186 10
8.113 2168 10
8.125 2142 10
8.138 2108 10
8.150 2067 10
8.163 2020 10
8.175 1970 10
8.188 1918 10
8.200 1866 10
8.213 1816 10
8.225 1769 10
8.238 1728 10
8.250 1693 10
8.263 1667 10
8.275 1651 10
8.288 1641 10
8.300 1645 10
8.313 1657 10
8.325 1677 10
8.338 1707 10
8.350 1743 10
8.363 1785 10
8.375 1833 10
8.388 1885 10
8.400 1937 10
8.413 1987 10
8.425 2034 10
8.438 2078 10
8.450 2118 10
8.463 2148 10
8.475 2169 10
8.488 2182 10
8.500 2186 10
8.513 2180 10
8.525 2163 10
8.538 2138 10
8.550 2106 10
8.563 2065 10
8.575 2021 10
8.588 1972 10
8.600 1921 10
8.613 1871 10
8.625 1821 10
8.638 1775 10
8.650 1735 10
8.663 1701 10
8.675 1675 10
8.688 1657 10
8.700 1650 10
8.713 1652 10
8.725 1663 10
8.738 1682 10
8.750 1710 10
8.763 1746 10
8.775 1788 10
8.788 1834 10
8.800 1883 10
8.813 1933 10
8.825 1983 10
8.838 2030 10
8.850 2073 10
8.863 2109 10
8.875 2139 10
8.888 2161 10
8.900 2174 10
8.913 2178 10
8.925 2171 10
8.938 2156 10
8.950 2133 10
8.963 2102 10
8.975 2063 10
8.988 2020 10
9.000 1973 10
9.013 1924 10
9.025 1875 10
9.038 1826 10
9.050 1781 10
9.063 1743 10
9.075 1709 10
9.088 1683 10
9.100 1665 10
9.113 1657 10
9.125 1659 10
9.138 1667 10
9.150 1687 10
9.163 1715 10
9.175 1748 10
9.188 1787 10
9.200 1832 10
9.213 1881 10
9.225 1929 10
9.238 1977 10
9.250 2023 10
9.263 2065 10
9.275 2103 10
9.288 2133 10
9.300 2154 10
9.313 2167 10
9.325 2172 10
9.338 2167 10
9.350 2152 10
9.363 2129 10
9.375 2098 10
9.388 2062 10
9.400 2020 10
9.413 1973 10
9.425 1925 10
9.438 1877 10
9.450 1829 10
9.463 1785 10
9.475 1747 10
9.488 1713 10
9.500 1688 10
9.513 1671 10
9.525 1663 10
9.538 1663 10
9.550 1673 10
9.563 1691 10
9.575 1717 10
9.588 1751 10
9.600 1789 10
9.613 1832 10
9.625 1879 10
9.638 1927 10
9.650 1974 10
9.663 2019 10
9.675 2060 10
9.688 2096 10
9.700 2126 10
9.713 2147 10
9.725 2160 10
9.738 2165 10
9.750 2161 10
9.763 2147 10
9.775 2125 10
9.788 2097 10
9.800 2061 10
9.813 2020 10
9.825 1975 10
9.838 1928 10
9.850 1881 10
9.863 1836 10
9.875 1792 10
9.888 1752 10
9.900 1720 10
9.913 1696 10
9.925 1678 10
9.938 1668 10
9.950 1668 10
9.963 1677 10
9.975 1695 10
9.988 1719 10
10.000 1751 10
10.013 1790 10
10.025 1832 10
10.038 1877 10
10.050 1924 10
10.063 1971 10
10.075 2015 10
10.088 2056 10
10.100 2090 10
10.113 2120 10
10.125 2141 10
10.138 2154 10
10.150 2159 10
10.163 2155 10
10.175 2143 10
10.188 2122 10
10.200 2094 10
10.213 2059 10
10.225 2020 10
10.238 1977 10
10.250 1931 10
10.263 1884 10
10.275 1840 10
10.288 1798 10
10.300 1760 10
10.313 1728 10
10.325 1702 10
10.338 1685 10
10.350 1676 10
10.363 1675 10
10.375 1683 10
10.388 1700 10
10.400 1724 10
10.413 1755 10
10.425 1791 10
10.438 1833 10
10.450 1876 10
10.463 1921 10
10.475 1967 10
10.488 2010 10
10.500 2049 10
10.513 2084 10
10.525 2112 10
10.538 2133 10
10.550 2147 10
10.563 2152 10
10.575 2148 10
10.588 2136 10
10.600 2116 10
10.613 2090 10
10.625 2056 10
10.638 2018 10
10.650 1976 10
10.663 1932 10
10.675 1888 10
10.688 1844 10
10.700 1803 10
10.713 1766 10
10.725 1735 10
10.738 1711 10
10.750 1693 10
10.763 1684 10
10.775 1683 10
10.788 1690 10
10.800 1705 10
10.813 1728 10
10.825 1757 10
10.838 1793 10
10.850 1833 10
10.863 1875 10
10.875 1919 10
10.888 1963 10
10.900 2004 10
10.913 2043 10
10.925 2077 10
10.938 2105 10
10.950 2126 10
10.963 2140 10
10.975 2146 10
10.988 2142 10
11.000 2131 10
11.013 2112 10
11.025 2087 10
11.038 2055 10
11.050 2018 10
11.063 1977 10
11.075 1935 10
11.088 1891 10
11.100 1849 10
11.113 1809 10
11.125 1773 10
11.138 1742 10
11.150 1718 10
11.163 1701 10
11.175 1691 10
11.188 1690 10
11.200 1697 10
11.213 1711 10
11.225 1732 10
11.238 1761 10
11.250 1794 10
11.263 1832 10
11.275 1873 10
11.288 1916 10
11.300 1959 10
11.313 2000 10
11.325 2037 10
11.338 2071 10
11.350 2098 10
11.363 2120 10
Property changes:
Added: svn:mergeinfo

/dokumenty/skolni/PRA1/10-Oscilace/osc2.txt
0,0 → 1,585
0.000 2012 10
0.013 1926 10
0.025 1840 10
0.038 1758 10
0.050 1682 10
0.063 1616 10
0.075 1560 10
0.088 1518 10
0.100 1490 10
0.113 1477 10
0.125 1480 10
0.138 1498 10
0.150 1530 10
0.163 1576 10
0.175 1633 10
0.188 1701 10
0.200 1775 10
0.213 1853 10
0.225 1933 10
0.238 2012 10
0.250 2088 10
0.263 2154 10
0.275 2213 10
0.288 2260 10
0.300 2294 10
0.313 2316 10
0.325 2321 10
0.338 2313 10
0.350 2290 10
0.363 2254 10
0.375 2206 10
0.388 2149 10
0.400 2084 10
0.413 2012 10
0.425 1938 10
0.438 1863 10
0.450 1791 10
0.463 1724 10
0.475 1665 10
0.488 1615 10
0.500 1575 10
0.513 1548 10
0.525 1534 10
0.538 1535 10
0.550 1548 10
0.563 1575 10
0.575 1613 10
0.588 1661 10
0.600 1718 10
0.613 1781 10
0.625 1849 10
0.638 1919 10
0.650 1987 10
0.663 2052 10
0.675 2112 10
0.688 2164 10
0.700 2208 10
0.713 2239 10
0.725 2259 10
0.738 2266 10
0.750 2261 10
0.763 2243 10
0.775 2214 10
0.788 2174 10
0.800 2125 10
0.813 2068 10
0.825 2008 10
0.838 1944 10
0.850 1878 10
0.863 1815 10
0.875 1757 10
0.888 1704 10
0.900 1659 10
0.913 1623 10
0.925 1599 10
0.938 1585 10
0.950 1583 10
0.963 1594 10
0.975 1615 10
0.988 1647 10
1.000 1687 10
1.013 1736 10
1.025 1791 10
1.038 1849 10
1.050 1909 10
1.063 1969 10
1.075 2027 10
1.088 2079 10
1.100 2126 10
1.113 2164 10
1.125 2194 10
1.138 2212 10
1.150 2220 10
1.163 2216 10
1.175 2202 10
1.188 2178 10
1.200 2144 10
1.213 2104 10
1.225 2054 10
1.238 2002 10
1.250 1946 10
1.263 1890 10
1.275 1835 10
1.288 1784 10
1.300 1736 10
1.313 1697 10
1.325 1665 10
1.338 1643 10
1.350 1629 10
1.363 1627 10
1.375 1635 10
1.388 1652 10
1.400 1678 10
1.413 1712 10
1.425 1754 10
1.438 1800 10
1.450 1851 10
1.463 1903 10
1.475 1955 10
1.488 2005 10
1.500 2052 10
1.513 2093 10
1.525 2128 10
1.538 2154 10
1.550 2172 10
1.563 2180 10
1.575 2178 10
1.588 2167 10
1.600 2147 10
1.613 2119 10
1.625 2083 10
1.638 2042 10
1.650 1996 10
1.663 1948 10
1.675 1898 10
1.688 1850 10
1.700 1804 10
1.713 1762 10
1.725 1727 10
1.738 1698 10
1.750 1677 10
1.763 1665 10
1.775 1662 10
1.788 1667 10
1.800 1682 10
1.813 1704 10
1.825 1733 10
1.838 1769 10
1.850 1810 10
1.863 1854 10
1.875 1900 10
1.888 1945 10
1.900 1990 10
1.913 2030 10
1.925 2067 10
1.938 2098 10
1.950 2122 10
1.963 2138 10
1.975 2146 10
1.988 2146 10
2.000 2137 10
2.013 2121 10
2.025 2096 10
2.038 2066 10
2.050 2030 10
2.063 1990 10
2.075 1948 10
2.088 1904 10
2.100 1862 10
2.113 1822 10
2.125 1785 10
2.138 1753 10
2.150 1727 10
2.163 1708 10
2.175 1696 10
2.188 1693 10
2.200 1697 10
2.213 1708 10
2.225 1727 10
2.238 1752 10
2.250 1783 10
2.263 1818 10
2.275 1856 10
2.288 1896 10
2.300 1937 10
2.313 1976 10
2.325 2012 10
2.338 2045 10
2.350 2072 10
2.363 2094 10
2.375 2109 10
2.388 2116 10
2.400 2118 10
2.413 2110 10
2.425 2096 10
2.438 2075 10
2.450 2050 10
2.463 2019 10
2.475 1984 10
2.488 1948 10
2.500 1910 10
2.513 1873 10
2.525 1837 10
2.538 1805 10
2.550 1776 10
2.563 1753 10
2.575 1736 10
2.588 1725 10
2.600 1721 10
2.613 1724 10
2.625 1733 10
2.638 1749 10
2.650 1771 10
2.663 1797 10
2.675 1827 10
2.688 1860 10
2.700 1895 10
2.713 1929 10
2.725 1964 10
2.738 1996 10
2.750 2025 10
2.763 2049 10
2.775 2068 10
2.788 2082 10
2.800 2090 10
2.813 2090 10
2.825 2084 10
2.838 2072 10
2.850 2056 10
2.863 2034 10
2.875 2008 10
2.888 1978 10
2.900 1946 10
2.913 1912 10
2.925 1880 10
2.938 1849 10
2.950 1821 10
2.963 1796 10
2.975 1775 10
2.988 1760 10
3.000 1749 10
3.013 1745 10
3.025 1747 10
3.038 1755 10
3.050 1769 10
3.063 1787 10
3.075 1809 10
3.088 1835 10
3.100 1864 10
3.113 1893 10
3.125 1925 10
3.138 1954 10
3.150 1982 10
3.163 2008 10
3.175 2029 10
3.188 2046 10
3.200 2058 10
3.213 2066 10
3.225 2066 10
3.238 2062 10
3.250 2052 10
3.263 2038 10
3.275 2020 10
3.288 1996 10
3.300 1971 10
3.313 1944 10
3.325 1915 10
3.338 1887 10
3.350 1860 10
3.363 1835 10
3.375 1813 10
3.388 1795 10
3.400 1781 10
3.413 1772 10
3.425 1768 10
3.438 1769 10
3.450 1775 10
3.463 1786 10
3.475 1802 10
3.488 1821 10
3.500 1843 10
3.513 1867 10
3.525 1894 10
3.538 1920 10
3.550 1946 10
3.563 1970 10
3.575 1993 10
3.588 2012 10
3.600 2028 10
3.613 2038 10
3.625 2045 10
3.638 2046 10
3.650 2044 10
3.663 2036 10
3.675 2024 10
3.688 2008 10
3.700 1988 10
3.713 1966 10
3.725 1942 10
3.738 1918 10
3.750 1893 10
3.763 1870 10
3.775 1848 10
3.788 1828 10
3.800 1812 10
3.813 1800 10
3.825 1791 10
3.838 1787 10
3.850 1788 10
3.863 1793 10
3.875 1802 10
3.888 1815 10
3.900 1831 10
3.913 1851 10
3.925 1871 10
3.938 1894 10
3.950 1917 10
3.963 1939 10
3.975 1961 10
3.988 1980 10
4.000 1997 10
4.013 2010 10
4.025 2020 10
4.038 2026 10
4.050 2028 10
4.063 2026 10
4.075 2020 10
4.088 2009 10
4.100 1996 10
4.113 1979 10
4.125 1960 10
4.138 1940 10
4.150 1919 10
4.163 1897 10
4.175 1877 10
4.188 1858 10
4.200 1841 10
4.213 1827 10
4.225 1816 10
4.238 1808 10
4.250 1805 10
4.263 1805 10
4.275 1809 10
4.288 1817 10
4.300 1828 10
4.313 1842 10
4.325 1858 10
4.338 1876 10
4.350 1895 10
4.363 1915 10
4.375 1934 10
4.388 1952 10
4.400 1969 10
4.413 1984 10
4.425 1996 10
4.438 2004 10
4.450 2010 10
4.463 2011 10
4.475 2010 10
4.488 2004 10
4.500 1996 10
4.513 1984 10
4.525 1971 10
4.538 1955 10
4.550 1937 10
4.563 1919 10
4.575 1901 10
4.588 1884 10
4.600 1867 10
4.613 1853 10
4.625 1841 10
4.638 1831 10
4.650 1824 10
4.663 1821 10
4.675 1821 10
4.688 1824 10
4.700 1831 10
4.713 1840 10
4.725 1851 10
4.738 1865 10
4.750 1880 10
4.763 1896 10
4.775 1913 10
4.788 1929 10
4.800 1945 10
4.813 1959 10
4.825 1972 10
4.838 1982 10
4.850 1990 10
4.863 1995 10
4.875 1997 10
4.888 1996 10
4.900 1991 10
4.913 1984 10
4.925 1975 10
4.938 1963 10
4.950 1949 10
4.963 1935 10
4.975 1920 10
4.988 1904 10
5.000 1889 10
5.013 1875 10
5.025 1863 10
5.038 1853 10
5.050 1844 10
5.063 1838 10
5.075 1835 10
5.088 1835 10
5.100 1837 10
5.113 1843 10
5.125 1850 10
5.138 1860 10
5.150 1871 10
5.163 1884 10
5.175 1897 10
5.188 1911 10
5.200 1925 10
5.213 1939 10
5.225 1951 10
5.238 1962 10
5.250 1971 10
5.263 1978 10
5.275 1982 10
5.288 1983 10
5.300 1982 10
5.313 1979 10
5.325 1973 10
5.338 1965 10
5.350 1956 10
5.363 1945 10
5.375 1932 10
5.388 1919 10
5.400 1907 10
5.413 1894 10
5.425 1882 10
5.438 1871 10
5.450 1863 10
5.463 1855 10
5.475 1850 10
5.488 1847 10
5.500 1847 10
5.513 1849 10
5.525 1853 10
5.538 1859 10
5.550 1867 10
5.563 1877 10
5.575 1887 10
5.588 1899 10
5.600 1911 10
5.613 1922 10
5.625 1933 10
5.638 1943 10
5.650 1953 10
5.663 1960 10
5.675 1966 10
5.688 1970 10
5.700 1971 10
5.713 1971 10
5.725 1968 10
5.738 1964 10
5.750 1957 10
5.763 1949 10
5.775 1940 10
5.788 1930 10
5.800 1919 10
5.813 1909 10
5.825 1899 10
5.838 1889 10
5.850 1880 10
5.863 1872 10
5.875 1866 10
5.888 1862 10
5.900 1859 10
5.913 1859 10
5.925 1860 10
5.938 1863 10
5.950 1868 10
5.963 1875 10
5.975 1883 10
5.988 1891 10
6.000 1901 10
6.013 1910 10
6.025 1919 10
6.038 1928 10
6.050 1937 10
6.063 1945 10
6.075 1951 10
6.088 1955 10
6.100 1959 10
6.113 1960 10
6.125 1960 10
6.138 1958 10
6.150 1955 10
6.163 1949 10
6.175 1943 10
6.188 1936 10
6.200 1928 10
6.213 1919 10
6.225 1911 10
6.238 1902 10
6.250 1894 10
6.263 1887 10
6.275 1881 10
6.288 1876 10
6.300 1872 10
6.313 1870 10
6.325 1869 10
6.338 1871 10
6.350 1873 10
6.363 1877 10
6.375 1882 10
6.388 1888 10
6.400 1895 10
6.413 1902 10
6.425 1909 10
6.438 1917 10
6.450 1925 10
6.463 1931 10
6.475 1937 10
6.488 1942 10
6.500 1947 10
6.513 1949 10
6.525 1950 10
6.538 1950 10
6.550 1948 10
6.563 1946 10
6.575 1942 10
6.588 1937 10
6.600 1931 10
6.613 1925 10
6.625 1918 10
6.638 1911 10
6.650 1905 10
6.663 1899 10
6.675 1893 10
6.688 1888 10
6.700 1884 10
6.713 1881 10
6.725 1879 10
6.738 1879 10
6.750 1880 10
6.763 1882 10
6.775 1885 10
6.788 1888 10
6.800 1893 10
6.813 1898 10
6.825 1904 10
6.838 1910 10
6.850 1915 10
6.863 1921 10
6.875 1927 10
6.888 1931 10
6.900 1935 10
6.913 1938 10
6.925 1940 10
6.938 1941 10
6.950 1941 10
6.963 1940 10
6.975 1938 10
6.988 1935 10
7.000 1931 10
7.013 1927 10
7.025 1922 10
7.038 1917 10
7.050 1912 10
7.063 1907 10
7.075 1903 10
7.088 1898 10
7.100 1894 10
7.113 1891 10
7.125 1889 10
7.138 1888 10
7.150 1887 10
7.163 1888 10
7.175 1889 10
7.188 1891 10
7.200 1894 10
7.213 1897 10
7.225 1901 10
7.238 1905 10
7.250 1909 10
7.263 1914 10
7.275 1918 10
7.288 1922 10

/dokumenty/skolni/PRA1/10-Oscilace/osc3.txt
0,0 → 1,762
0.000 1760
0.013 1628
0.025 1507
0.038 1401
0.050 1313
0.063 1247
0.075 1207
0.088 1189
0.100 1199
0.113 1233
0.125 1291
0.138 1372
0.150 1471
0.163 1584
0.175 1709
0.188 1840
0.200 1973
0.213 2103
0.225 2225
0.238 2335
0.250 2431
0.263 2507
0.275 2561
0.288 2593
0.300 2601
0.313 2583
0.325 2543
0.338 2481
0.350 2399
0.363 2301
0.375 2189
0.388 2069
0.400 1944
0.413 1819
0.425 1698
0.438 1587
0.450 1487
0.463 1404
0.475 1339
0.488 1295
0.500 1273
0.513 1273
0.525 1295
0.538 1340
0.550 1405
0.563 1487
0.575 1584
0.588 1691
0.600 1807
0.613 1925
0.625 2042
0.638 2154
0.650 2256
0.663 2346
0.675 2420
0.688 2475
0.700 2511
0.713 2525
0.725 2517
0.738 2489
0.750 2439
0.763 2371
0.775 2289
0.788 2193
0.800 2087
0.813 1977
0.825 1866
0.838 1756
0.850 1653
0.863 1561
0.875 1482
0.888 1418
0.900 1373
0.913 1345
0.925 1339
0.938 1354
0.950 1387
0.963 1440
0.975 1508
0.988 1591
1.000 1685
1.013 1785
1.025 1890
1.038 1996
1.050 2097
1.063 2191
1.075 2276
1.088 2345
1.100 2399
1.113 2437
1.125 2455
1.138 2454
1.150 2434
1.163 2395
1.175 2340
1.188 2271
1.200 2188
1.213 2097
1.225 1999
1.238 1900
1.250 1801
1.263 1708
1.275 1622
1.288 1547
1.300 1487
1.313 1442
1.325 1412
1.338 1402
1.350 1409
1.363 1434
1.375 1476
1.388 1533
1.400 1603
1.413 1685
1.425 1773
1.438 1865
1.450 1959
1.463 2051
1.475 2137
1.488 2214
1.500 2280
1.513 2334
1.525 2370
1.538 2392
1.550 2396
1.563 2382
1.575 2352
1.588 2307
1.600 2248
1.613 2178
1.625 2098
1.638 2012
1.650 1924
1.663 1836
1.675 1752
1.688 1674
1.700 1605
1.713 1547
1.725 1503
1.738 1474
1.750 1460
1.763 1463
1.775 1482
1.788 1515
1.800 1563
1.813 1624
1.825 1694
1.838 1771
1.850 1852
1.863 1936
1.875 2018
1.888 2096
1.900 2167
1.913 2228
1.925 2278
1.938 2314
1.950 2335
1.963 2342
1.975 2333
1.988 2310
2.000 2273
2.013 2223
2.025 2162
2.038 2093
2.050 2018
2.063 1940
2.075 1860
2.088 1784
2.100 1713
2.113 1649
2.125 1596
2.138 1554
2.150 1526
2.163 1510
2.175 1510
2.188 1525
2.200 1552
2.213 1593
2.225 1644
2.238 1704
2.250 1772
2.263 1844
2.275 1918
2.288 1992
2.300 2062
2.313 2127
2.325 2183
2.338 2229
2.350 2263
2.363 2285
2.375 2295
2.388 2289
2.400 2271
2.413 2239
2.425 2197
2.438 2145
2.450 2084
2.463 2018
2.475 1948
2.488 1878
2.500 1810
2.513 1745
2.525 1687
2.538 1639
2.550 1599
2.563 1571
2.575 1556
2.588 1554
2.600 1564
2.613 1586
2.625 1620
2.638 1664
2.650 1717
2.663 1776
2.675 1840
2.688 1905
2.700 1972
2.713 2035
2.725 2094
2.738 2145
2.750 2188
2.763 2220
2.775 2242
2.788 2252
2.800 2249
2.813 2234
2.825 2208
2.838 2172
2.850 2127
2.863 2074
2.875 2016
2.888 1955
2.900 1892
2.913 1831
2.925 1772
2.938 1721
2.950 1676
2.963 1639
2.975 1613
2.988 1597
3.000 1593
3.013 1601
3.025 1619
3.038 1648
3.050 1685
3.063 1731
3.075 1783
3.088 1839
3.100 1897
3.113 1956
3.125 2013
3.138 2065
3.150 2112
3.163 2152
3.175 2182
3.188 2203
3.200 2214
3.213 2213
3.225 2201
3.238 2179
3.250 2149
3.263 2109
3.275 2063
3.288 2011
3.300 1957
3.313 1901
3.325 1846
3.338 1793
3.350 1746
3.363 1704
3.375 1670
3.388 1646
3.400 1631
3.413 1626
3.425 1631
3.438 1647
3.450 1671
3.463 1704
3.475 1744
3.488 1790
3.500 1840
3.513 1892
3.525 1945
3.538 1996
3.550 2044
3.563 2087
3.575 2123
3.588 2152
3.600 2171
3.613 2183
3.625 2183
3.638 2173
3.650 2155
3.663 2127
3.675 2093
3.688 2052
3.700 2006
3.713 1957
3.725 1906
3.738 1856
3.750 1809
3.763 1766
3.775 1728
3.788 1697
3.800 1673
3.813 1659
3.825 1653
3.838 1658
3.850 1671
3.863 1692
3.875 1721
3.888 1757
3.900 1798
3.913 1843
3.925 1890
3.938 1937
3.950 1984
3.963 2028
3.975 2067
3.988 2100
4.000 2126
4.013 2146
4.025 2156
4.038 2156
4.050 2149
4.063 2134
4.075 2110
4.088 2079
4.100 2042
4.113 2002
4.125 1958
4.138 1912
4.150 1868
4.163 1825
4.175 1786
4.188 1750
4.200 1722
4.213 1700
4.225 1686
4.238 1681
4.250 1683
4.263 1694
4.275 1712
4.288 1738
4.300 1770
4.313 1806
4.325 1846
4.338 1888
4.350 1931
4.363 1972
4.375 2012
4.388 2048
4.400 2077
4.413 2102
4.425 2120
4.438 2130
4.450 2132
4.463 2125
4.475 2112
4.488 2092
4.500 2064
4.513 2032
4.525 1996
4.538 1956
4.550 1916
4.563 1876
4.575 1836
4.588 1800
4.600 1768
4.613 1742
4.625 1722
4.638 1709
4.650 1703
4.663 1705
4.675 1714
4.688 1730
4.700 1752
4.713 1780
4.725 1812
4.738 1848
4.750 1886
4.763 1924
4.775 1962
4.788 1998
4.800 2032
4.813 2059
4.825 2082
4.838 2098
4.850 2108
4.863 2111
4.875 2106
4.888 2094
4.900 2076
4.913 2052
4.925 2024
4.938 1990
4.950 1956
4.963 1918
4.975 1882
4.988 1847
5.000 1814
5.013 1785
5.025 1761
5.038 1742
5.050 1729
5.063 1724
5.075 1724
5.088 1732
5.100 1746
5.113 1766
5.125 1791
5.138 1820
5.150 1852
5.163 1886
5.175 1921
5.188 1955
5.200 1988
5.213 2017
5.225 2043
5.238 2064
5.250 2079
5.263 2088
5.275 2090
5.288 2088
5.300 2077
5.313 2061
5.325 2040
5.338 2015
5.350 1986
5.363 1954
5.375 1921
5.388 1888
5.400 1856
5.413 1827
5.425 1800
5.438 1778
5.450 1761
5.463 1750
5.475 1744
5.488 1744
5.500 1750
5.513 1763
5.525 1780
5.538 1801
5.550 1827
5.563 1855
5.575 1885
5.588 1917
5.600 1947
5.613 1976
5.625 2004
5.638 2026
5.650 2046
5.663 2060
5.675 2068
5.688 2072
5.700 2068
5.713 2060
5.725 2047
5.738 2028
5.750 2006
5.763 1980
5.775 1952
5.788 1922
5.800 1894
5.813 1864
5.825 1838
5.838 1814
5.850 1794
5.863 1778
5.875 1767
5.888 1761
5.900 1760
5.913 1766
5.925 1776
5.938 1791
5.950 1810
5.963 1833
5.975 1858
5.988 1885
6.000 1913
6.013 1940
6.025 1967
6.038 1992
6.050 2012
6.063 2030
6.075 2043
6.088 2052
6.100 2055
6.113 2053
6.125 2046
6.138 2034
6.150 2018
6.163 1998
6.175 1976
6.188 1950
6.200 1924
6.213 1898
6.225 1872
6.238 1848
6.250 1826
6.263 1808
6.275 1793
6.288 1783
6.300 1778
6.313 1776
6.325 1780
6.338 1790
6.350 1803
6.363 1820
6.375 1840
6.388 1862
6.400 1886
6.413 1911
6.425 1935
6.438 1959
6.450 1981
6.463 2000
6.475 2016
6.488 2028
6.500 2036
6.513 2039
6.525 2038
6.538 2032
6.550 2022
6.563 2008
6.575 1991
6.588 1971
6.600 1949
6.613 1926
6.625 1902
6.638 1880
6.650 1858
6.663 1839
6.675 1822
6.688 1808
6.700 1800
6.713 1794
6.725 1793
6.738 1796
6.750 1804
6.763 1814
6.775 1829
6.788 1846
6.800 1866
6.813 1887
6.825 1909
6.838 1930
6.850 1951
6.863 1970
6.875 1988
6.888 2002
6.900 2012
6.913 2020
6.925 2024
6.938 2022
6.950 2018
6.963 2010
6.975 1998
6.988 1982
7.000 1966
7.013 1946
7.025 1926
7.038 1904
7.050 1884
7.063 1866
7.075 1848
7.088 1833
7.100 1821
7.113 1812
7.125 1808
7.138 1806
7.150 1808
7.163 1815
7.175 1824
7.188 1836
7.200 1852
7.213 1869
7.225 1888
7.238 1907
7.250 1926
7.263 1944
7.275 1962
7.288 1978
7.300 1990
7.313 2000
7.325 2008
7.338 2010
7.350 2010
7.363 2006
7.375 1999
7.388 1989
7.400 1976
7.413 1960
7.425 1944
7.438 1926
7.450 1908
7.463 1890
7.475 1873
7.488 1857
7.500 1844
7.513 1833
7.525 1824
7.538 1820
7.550 1818
7.563 1820
7.575 1825
7.588 1833
7.600 1844
7.613 1857
7.625 1872
7.638 1888
7.650 1905
7.663 1922
7.675 1939
7.688 1954
7.700 1968
7.713 1980
7.725 1989
7.738 1996
7.750 1998
7.763 1999
7.775 1996
7.788 1990
7.800 1981
7.813 1970
7.825 1956
7.838 1942
7.850 1926
7.863 1910
7.875 1894
7.888 1880
7.900 1866
7.913 1854
7.925 1844
7.938 1836
7.950 1832
7.963 1830
7.975 1832
7.988 1836
8.000 1842
8.013 1852
8.025 1863
8.038 1876
8.050 1890
8.063 1904
8.075 1919
8.088 1934
8.100 1947
8.113 1959
8.125 1970
8.138 1978
8.150 1984
8.163 1987
8.175 1988
8.188 1984
8.200 1980
8.213 1972
8.225 1963
8.238 1952
8.250 1939
8.263 1926
8.275 1912
8.288 1898
8.300 1884
8.313 1872
8.325 1862
8.338 1854
8.350 1847
8.363 1842
8.375 1841
8.388 1842
8.400 1845
8.413 1851
8.425 1859
8.438 1868
8.450 1880
8.463 1892
8.475 1904
8.488 1917
8.500 1930
8.513 1942
8.525 1952
8.538 1962
8.550 1969
8.563 1974
8.575 1977
8.588 1978
8.600 1976
8.613 1972
8.625 1966
8.638 1957
8.650 1948
8.663 1937
8.675 1925
8.688 1913
8.700 1901
8.713 1890
8.725 1879
8.738 1870
8.750 1862
8.763 1856
8.775 1853
8.788 1851
8.800 1851
8.813 1854
8.825 1859
8.838 1866
8.850 1874
8.863 1883
8.875 1893
8.888 1904
8.900 1915
8.913 1926
8.925 1936
8.938 1946
8.950 1954
8.963 1960
8.975 1965
8.988 1968
9.000 1968
9.013 1966
9.025 1964
9.038 1958
9.050 1952
9.063 1944
9.075 1934
9.088 1924
9.100 1914
9.113 1904
9.125 1894
9.138 1885
9.150 1877
9.163 1871
9.175 1865
9.188 1862
9.200 1860
9.213 1861
9.225 1863
9.238 1867
9.250 1872
9.263 1879
9.275 1887
9.288 1896
9.300 1904
9.313 1914
9.325 1923
9.338 1932
9.350 1940
9.363 1946
9.375 1952
9.388 1956
9.400 1958
9.413 1959
9.425 1958
9.438 1955
9.450 1951
9.463 1946
9.475 1939
9.488 1931
9.500 1923

/dokumenty/skolni/PRA1/10-Oscilace/dynamik.txt
0,0 → 1,946
VCMOT1
t
s
0 11.3625 5 0.0125 3 0 0 1 0 0 0 0 0 0 1 1
s
0 4000 1000 0 0 0 0 1 4000 0 1 0 0 0 0 1
v
1/s
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
a
1/s²
-1000 1000 1000 0 1 0 0 1 4000 0 1 0 0 0 0 1
f
-10 10 10 0 2 0 0 1 1000 0 1 0 0 0 0 1
1 910
1435
1417
1415
1432
1466
1516
1579
1655
1741
1831
1927
2020
2110
2192
2265
2325
2370
2399
2410
2405
2382
2342
2287
2218
2140
2052
1961
1868
1777
1692
1614
1548
1496
1458
1436
1432
1446
1476
1522
1582
1653
1735
1822
1912
2003
2091
2172
2242
2302
2348
2378
2392
2388
2368
2332
2281
2217
2142
2059
1972
1882
1794
1710
1634
1569
1516
1478
1454
1448
1459
1486
1528
1585
1652
1729
1813
1900
1988
2073
2152
2222
2282
2328
2360
2374
2374
2356
2323
2277
2214
2143
2064
1980
1893
1808
1727
1653
1589
1536
1498
1474
1466
1474
1499
1537
1589
1652
1725
1804
1888
1972
2054
2132
2201
2259
2306
2339
2356
2357
2343
2313
2270
2213
2147
2071
1991
1908
1824
1745
1673
1609
1556
1516
1492
1482
1487
1508
1544
1593
1653
1722
1798
1880
1962
2041
2117
2185
2243
2289
2321
2339
2343
2331
2303
2262
2209
2145
2072
1996
1916
1835
1758
1687
1625
1573
1533
1508
1497
1501
1520
1553
1599
1657
1723
1795
1873
1952
2029
2102
2168
2226
2272
2305
2324
2328
2318
2292
2254
2204
2144
2074
2000
1924
1847
1771
1703
1641
1591
1551
1524
1512
1514
1532
1562
1605
1659
1723
1793
1867
1944
2020
2091
2156
2212
2258
2290
2310
2314
2306
2284
2247
2199
2141
2074
2004
1928
1854
1780
1714
1653
1602
1563
1537
1523
1525
1540
1569
1610
1662
1723
1790
1863
1938
2010
2079
2144
2198
2244
2278
2297
2303
2296
2275
2240
2194
2139
2075
2006
1934
1860
1790
1724
1665
1615
1576
1549
1536
1537
1551
1578
1617
1667
1725
1790
1860
1931
2002
2069
2131
2184
2230
2262
2282
2290
2283
2264
2232
2189
2136
2074
2008
1938
1868
1800
1735
1677
1629
1590
1564
1550
1548
1562
1586
1623
1669
1725
1788
1855
1925
1994
2060
2120
2174
2218
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%%Trailer
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/dokumenty/skolni/PRA1/2-pruznost/plot.gp
0,0 → 1,37
set terminal postscript
set key off
set xlabel "hmotnost [g]"
set ylabel "prodlouzeni [10x um]"
#hookuv zakon a korekce na spravne jednotky.
f(x)=((4*x/1000*9.81*1.15)/(E*pi*0.000195**2))*100000
set output "hookz.ps"
fit f(x) "hook.txt" using 1:2 via E
plot f(x), "hook.txt" using 1:2
set output "hooko.ps"
fit f(x) "hook.txt" using 1:3 via E
plot f(x), "hook.txt" using 1:3
!ps2pdf hookz.ps
!ps2pdf hooko.ps
set output "pruhyb.ps"
set ylabel "pruhyb [mm]"
#f(x)=(-(x/1000*9.81*0.498**3))/(4*pi*0.000195**2))*100000
plot "hook.txt" using 1:2, "hook.txt" using 1:3
!ps2pdf pruhyb.ps
set output "torze.ps"
set ylabel "zkrut [°]"
plot "torze.txt" using 1:2, "torze.txt" using 1:3
!ps2pdf torze.ps

/dokumenty/skolni/PRA1/2-pruznost/pruhyb.pdf
Cannot display: file marked as a binary type.
svn:mime-type = application/octet-stream
Property changes:
Added: svn:mime-type
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/dokumenty/skolni/PRA1/2-pruznost/pruhyb.ps
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\begin{document}
\title{Měření modulu pružnosti ve smyku a tahu}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{19.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Pružné vlastnosti homogenního izotropního tělesa při malých deformacích plně určují dvě nezávislé materiálové konstanty, za které mohou být zvoleny např. modul pružnosti v tahu (Youngův modul) $E$ a Poissonovo číslo $\mu $ nebo modul pružnosti v tahu $E$ a modul pružnosti ve smyku $G$. Jejich význam si vysvětlíme na dvou základních experimentech.
\end{abstract}
\section{Úvod}
\begin{enumerate}
\item Změřte závislost relativního délkového prodloužení $\Delta $l/l ocelového drátu na napětí při zatěžování a odlehčování drátu a sestrojte graf této závislosti. Vypočítejte metodou nejmenších čtverců modul pružnosti v tahu ocelového drátu.
\item Změřte závislost průhybu $z$ na velikosti síly $F$ při zatěžování i odlehčování ocelového nosníku a narýsujte graf této závislosti. Metodou nejmenších čtverců vypočítejte modul pružnosti v tahu.
\item V přípravě odvoďte vzorec pro plošný moment setrvačnosti obdélníkového průřezu šířky $a$ a výšky $b.$
\item Změřte závislost úhlu zkroucení $\varphi $ ocelového drátu na velikosti kroutícího momentu při postupném zvětšování a postupném zmenšování tohoto momentu. Výsledky měření vyneste do grafu. Metodou nejmenších čtverců vypočtěte modul pružnosti ve smyku $G$ drátu.
\item Na torzním kyvadle změřte moment setrvačnosti základního systému $I_{0}$ a modul pružnosti ve smyku $G$ ocelového drátu. Dobu torzních kmitů změřte postupnou metodou.
\item V přípravě odvoďte vzorce pro výpočet modulu pružnosti ve smyku $G$ a momentu setrvačnosti základního systému torzního kyvadla $I_{0}$.
\end{enumerate}
\section{Úvod}
\subsection{Modul pružnosti v tahu}
Při působení tažné síly na pružné homogenní těleso se jeho rozměr v ose síly prodlužuje podle vztahu.
\begin{displaymath} \frac{F}{S} = E \frac{\Delta l}{l}, \end{displaymath}
Který nazýváme Hookův zákon. Konstanta $E$ je určena jen vlastnostmi materiálu a nazývá se modul pružnosti v tahu nebo Youngův modul.
Při protahování tělesa se však jeho rozměry kolmé k ose jeho prodloužení zkracují podle vztahu.
\begin{displaymath} \frac{\Delta a}{a} = \frac{\Delta b}{b} = \mu \frac{\Delta l}{l} , resp. \frac{\Delta r}{r} = \mu \frac{\Delta l}{l} , \end{displaymath}
kde $\mu $ je Poissonovo číslo (nezávislé na $E)$. Poissonovo číslo $\mu $ je v intervalu $\langle $0, 1/2$\rangle $; hodnotu 1/2 nabývá pro nestlačitelné materiály. Protože v našem případě platí
\begin{displaymath} S = \pi d^2 \end{displaymath}
a
\begin{displaymath} F = mg \end{displaymath}
kde $d$ je průměr drátu a $m$ hmotnost závaží dostaneme po úpravě vztah
\begin{equation}
E = \frac{4mgl}{\pi d^{2} \Delta l}
\label{hook_rovnice}
\end{equation}
\subsection{Modul pružnosti v tahu měřený z ohybu nosníku}
Nosník známé délky $L$ podepřený na obou koncích se při zátěži uprostřed prohýbá podle vztahu.
\begin{displaymath} z(0) = - \frac{F L^3}{48 E I}. \end{displaymath}
Kde $I$ je plošný moment setrvačnosti určený profilem nosníku. Pro nosník obdélníkového průřezu je roven.
\begin{displaymath} I = \frac{ab^3}{12} \end{displaymath}
Po sloučení obou výrazů a vyjádření $E$ dostáváme
\begin{displaymath} E = - \frac{mgL^3}{4ab^3} \end{displaymath}
\subsection{Modul pružnosti ve smyku měřený statickou torzí}
Při zatížení drátu momentem síly
\begin{displaymath} M = 2mgr \end{displaymath}
Se jeho konec bude stáčet o úhel $\Phi$ Tento úhel bude záviset na momentu síly a poloměru drátu. Tím je určen modul pružnosti ve smyku $G$
\begin{displaymath} G = \frac{2mL}{\pi R^4 \Phi} \end{displaymath}
Po dosazení za moment síly dostáváme výraz
\begin{displaymath} G = \frac{2rgmL}{\pi R^4 \Phi} \end{displaymath}
\subsection{Modul pružnosti ve smyku měřený torzním kyvadlem}
Stočením drátu o úhel $\Phi$ bude kyvadlo působit momentem síly o velikosti
\begin{displaymath} M = K \Phi \end{displaymath}
kde $K$ je direkční moment kyvadla, pro který platí
\begin{displaymath} K = \frac{G \pi R^4}{2L} \end{displaymath}
Kde $R$ je poloměr drátu a $L$ jeho délka. Tento moment bude stáčet drát zpět do rovnovážné polohy a tím vznikne kmitavý pohyb s periodou
\begin{displaymath} T = 2 \pi \sqrt{\frac{I}{K}} \end{displaymath}
Kde $I$ je moment setrvačnosti kyvadla. Z vlastností $K$ plyne vztah
\begin{displaymath} \frac{I_1}{T_1^2} = \frac{I_2}{T_2^2} \end{displaymath}
Kde $I_1$ a $I_1$ jsou momenty setrvačnosti kyvadla pro dvě různé vzdálenosti závaží od osy.
\section{Postup měření}
Měření modulu pružnosti v tahu jsme měřili napínáním svisle pověšeného drátu závažími o hmotnosti 101g průtah drátu jsme zjistili pomocí měřících hodinek. Naměřené hodnoty ukazuje tabulka \ref{hook}.
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|c|}
\hline
počet zavaží & hmotnost[g] & zatezovani[10um] & odlehcovani[10um] \\ \hline
1 & 101 & 51 & 59 \\ \hline
2 & 202 & 77 & 81 \\ \hline
3 & 303 & 96 & 100 \\ \hline
4 & 404 & 114 & 118 \\ \hline
5 & 505 & 133 & 135 \\ \hline
6 & 606 & 151 & 153 \\ \hline
7 & 707 & 169,5 & 170 \\ \hline
8 & 808 & 183,5 & 187 \\ \hline
9 & 909 & 202 & 202 \\ \hline
10 & 1010 & 221 & 221 \\ \hline
\end{tabular}
\end{center}
\label{hook}
\caption{Prodlužování a zkracování drátu }
\end{table}
Proložením naměřených dat funkcí \ref{hook_rovnice} jsme dostali hodnotu $E = (1.59619e+11 \pm 6.539e+09)$ Pa.
Proložení ukazuje graf \ref{Graf_hookz} a \ref{Graf_hooko}.
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{hookz.pdf}
\end{center}
\caption{prodloužení drátu délky 1,15m v závislosti na zátěži}
\label{Graf_hookz}
\end{figure}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{hooko.pdf}
\end{center}
\caption{prodloužení drátu délky 1,15m v závislosti na zátěži během odlehčování}
\label{Graf_hooko}
\end{figure}
Průhyb nosníku jsme měřili zatěžováním hranolu o rozměrech 498x10,1x4,1 mm. Hodnotu jsme měřili mikroskopem v prostřední části. Naměřené hodnoty uvádí tabulka \ref{pruhyb}.
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
zatez[g] & pruhyb[mm] & pruhyb[mm] \\ \hline
101 & 2,53 & 0,06 \\ \hline
202 & 5,05 & 0,13 \\ \hline
303 & 7,58 & 0,19 \\ \hline
404 & 10,1 & 0,25 \\ \hline
505 & 12,63 & 0,32 \\ \hline
606 & 15,15 & 0,38 \\ \hline
707 & 17,68 & 0,44 \\ \hline
808 & 20,2 & 0,51 \\ \hline
909 & 22,73 & 0,57 \\ \hline
1010 & 25,25 & 0,63 \\ \hline
\end{tabular}
\end{center}
\caption{Průhyb nosníku}
\label{pruhyb}
\end{table}
Grafické vyjádření je v grafu \ref{pruhyb_graf}.
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{pruhyb.pdf}
\end{center}
\caption{Průhyb nosníku}
\label{pruhyb_graf}
\end{figure}
Zde nám vyšla hodnota modulu pružnosti $E = 165,66$ GPa.
Měření modulu pružnosti ve smyku jsme provedli zkrutem drátu delky 665mm, a průměru 1,99mm naměřené výsledky jsou v tabulce \ref{torze_static} a grafu \ref{Torze_graf}.
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
hmotnost & Zatezovani [°] & Odlehcovani [°] \\ \hline
0 & 290 & 291 \\ \hline
101 & 302 & 305 \\ \hline
202 & 312 & 317 \\ \hline
303 & 324 & 329 \\ \hline
404 & 336 & 341 \\ \hline
505 & 350 & 350 \\ \hline
\end{tabular}
\end{center}
\caption{Statická torze drátu}
\label{torze_static}
\end{table}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{torze.pdf}
\end{center}
\caption{Torze drátu}
\label{Torze_graf}
\end{figure}
Po výpočtu nám vyšel modul pružnosti ve smyku 91 GPa.
Posledním měřením bylo požití torzního kyvadla k měření modulu pružnosti ve smyku. Zde jsme zvolili dvě různé vzdálenosti závaží a změřili pro ně periodu kmitů.Pro vzdálenost závaží 31mm nám vyšla perioda 5,91s a pro vzdálenost 222mm 16,8s. Po zjištění potřebných momentů setrvačnosti již bylo možné vypočítat hodnotu modulu pružnosti ve smyku 83,2 GPa.
\section{Diskuse}
Při měření bylo poměrně komplikované určit správné rozměry měřených profilů. zvláště pak výšku nosníku kde bylo třeba mikrometrem měřit přesně kolmo k jeho ose, tuto jsem vyhodnotil jako nepřesnou a výšku se pokusil změřit posuvným měřítkem o kterém mám ale nyní podezření, že mohlo proměřovat až o 0,2mm, což je hodnota kterou bych od měřícího prostředku tohoto typu nečekal. Výsledkem je, že měření jsou zatížena poměrně neznámou chybou určení rozměrů. Na druhou stranu si ale myslím, že výsledné moduly pružnosti vyšly v celku reálné, takže konečná chyba nebude velká.
\section{Závěr}
Z výsledků měření vidíme že hodnota modulu pružnosti v tahu se u ocelových materiálů pohybuje okolo 160 GPa zatímco, modul pružnosti ve smyku má menší hodnoty v oblasti 80 GPa. Tento fakt vysvětluje známou snahu konstruktérů ocelové díly namáhat pouze na tah a vyhnout se namáhání na zkrut a střih.
\begin{thebibliography}{99}
\bibitem{pruznost}{Zadání úlohy 2 - Měření modulu pružnosti v tahu a modulu pružnosti ve smyku} \href{http://praktika.fjfi.cvut.cz/Pruznost/}{http://praktika.fjfi.cvut.cz/Pruznost/}
\end{thebibliography}
\end{document}

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#set terminal postscript
#set output "struna.ps"
set key off
set xlabel "# harmonics"
set ylabel "frequency"
F=4.91
f(x)=(x+1)*1/2*sqrt(F/Ro)
fit f(x) "struna.txt" via Ro
plot f(x), "struna.txt" using 1:2:3 with errorbars

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/dokumenty/skolni/PRA1/9-Akustika/akustika.tex
0,0 → 1,190
\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Základní experimenty akustiky}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Obsahem je popis několika metod pro měření rychlosti zvuku, rezonančních frekvencí, vlnové délky a shrnutí jejich výsledků.
\end{abstract}
\section{Úvod}
\begin{enumerate}
\item Domácí úkol.
\item Spočítejte vlastní frekvenci struny v praktiku a změřte její harmonické frekvence, z nich dopočítejte lineární hustotu struny.
\item Najděte základní a vyšší harmonické frekvence v Kundtově trubici. Ze známé délky trubice dopočítejte rychlost zvuku.
\item Pro 10 různých frekvencí hledejte interferenční minima prodlužováním a zkracováním Quinckovy trubice. Vyneste do grafu závislost vlnové délky zvuku na rezonanční frekvenci. Z naměřených údajů dopočítejte rychlost zvuku.
\item Najděte vlastní frekvence Helmzholtova dutinového rezonátoru. Vyneste závislost vlastní frekvence na objemu rezonátoru.
\item Proveďte furierovu analýzu základních signálů. (pila, trojúhelník, obdélník)
\item Pomocí vícekanálového generátoru signály syntetizujte.
\end{enumerate}
\section{Postup měření}
\subsection{struna}
Začali jsme hledáním harmonických frekvencí struny v praktiku. Podle teoretického výpočtu z hodnot lineární hustoty uvedené v \cite{akustika} nam vyšla rezonančni frekvence $f_0=24 [Hz]$. Skutečné naměřené hodnoty ale shrnuje tabulka \ref{rezonance_struna}.
\begin{table}[htbp]
\caption{Rezonanční frekvence 1,316m dlouhé struny}
\begin{center}
\begin{tabular}{|c|c|}
\hline
Harmonická & Frekvence [Hz] \\ \hline
0 & 20,8 \\ \hline
1 & 42,6 \\ \hline
2 & 64,4 \\ \hline
3 & 86,1 \\ \hline
4 & 106,4 \\ \hline
5 & 127,7 \\ \hline
6 & 150,3 \\ \hline
7 & 170,7 \\ \hline
8 & 192,6 \\ \hline
9 & 213,1 \\ \hline
10 & 235,2 \\ \hline
\end{tabular}
\end{center}
\label{rezonance_struna}
\end{table}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{struna.pdf}
\end{center}
\caption{Harmonické frekvence struny}
\end{figure}
Při regresi těchto hodnot fyzikální závislostí $f = \frac{1}{2} \cdot \sqrt{\frac{F}{\varrho}}$ , kde $F = 4,91 [N]$, jsme zjistili, že skutečná hodnota lineární hustoty struny výchází spíše o něco větší $0.00268 [kg/m]$.
\subsection{Kundtova trubice}
Další úkol byl principiálně podobný s tím rozdílem, že se jednalo o podélné vlnění v Kundtově trubici a naměřené výsledky uvádí tabulka \ref{rezonance_kund}.
\begin{table}[htbp]
\caption{Rezonanční frekvence 70cm Kundtovy trubice}
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
Harmonická & Frekvence [Hz] & Rychlost zvuku [m/s] \\ \hline
0 & 287,2 & 402,08 \\ \hline
1 & 459,7 & 321,79 \\ \hline
2 & 642 & 299,6 \\ \hline
3 & 810 & 283,5 \\ \hline
4 & 1059,8 & 296,74 \\ \hline
\end{tabular}
\end{center}
\label{rezonance_kund}
\end{table}
Rychlost zvuku byla dopočtena použitím výrazu $ v_z=\frac{2 f L}{k}$.
\subsection{Quinckova trubice}
Následovalo měření vlnové délky v Quinckově trubici.
\begin{table}[htbp]
\caption{Hodnoty z měření Quinckovy trubice}
\begin{center}
\begin{tabular}{|c|c|c|c|c|}
\hline
Frekvence [Hz] & Minima & Vzdálenost [cm] & Vlnová délka [m] & Rychlost zvuku [m/s] \\ \hline
5733 & 6 & 18,5 & 0,0612 & 303,03 \\ \hline
5441,7 & 7 & 22 & 0,0629 & 342,05 \\ \hline
5199 & 7 & 23,5 & 0,0671 & 349,08 \\ \hline
5040,6 & 7 & 25 & 0,0714 & 360,04 \\ \hline
4910,2 & 6 & 21 & 0,0700 & 343,71 \\ \hline
4743,5 & 6 & 22 & 0,0733 & 347,86 \\ \hline
4580 & 6 & 23 & 0,0767 & 351,13 \\ \hline
4200 & 5 & 21 & 0,0840 & 352,8 \\ \hline
3900 & 5 & 22,5 & 0,0900 & 351 \\ \hline
3200 & 5 & 27 & 0,1080 & 345,6 \\ \hline
\end{tabular}
\end{center}
\label{interference_Quinck}
\end{table}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{quinck.pdf}
\caption{Závislost vlnové délky na frekvenci v Quinckově trubici}
\end{center}
\end{figure}
Proložením dat z tabulky \ref{interference_Quinck} funkcí $ l = \frac{v_z}{f} $ byla získána hodnota rychlosti zvuku $v_z=(349.379 \pm 2 [m/s])$.
\subsection{Helmholtzův rezonátor}
Rezonanci Helmzholtova rezonátoru jsme určovali z frekvenčního spektra zvuku uvnitř rezonanční baňky. Předpokládali jsme, že zvuk v místnosti můžeme z hlediska tohoto experimentu pokládat za dostatečně kvalitní šum.
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{./Spektra/600ml.png}
\caption{Frekvenční spektrum baňky obsahující 600ml vody.}
\end{center}
\end{figure}
\begin{table}[htbp]
\caption{Rezonance Helmholtzova rezonátoru (laboratorní baňky) v závislosti na objemu vlité vody}
\begin{center}
\begin{tabular}{|c|c|}
\hline
Objem vody & Rezonance [Hz] \\ \hline
0 & 178 \\ \hline
200 & 197 \\ \hline
300 & 208 \\ \hline
400 & 223 \\ \hline
600 & 262 \\ \hline
800 & 336 \\ \hline
\end{tabular}
\end{center}
\label{rezonance_helmholtz}
\end{table}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{helmholtz.pdf}
\end{center}
\caption{Závislost rezonanční frekvence Helmholtzova oscilátoru na objemu vlité vody}
\end{figure}
\subsection{Fourierův rozklad}
Při tomto úkolu jsme využili znalosti Fourierovi analýzy k získání amplitud frekvenčních složek základních signálů. Ty jsme pak použili k jejich syntéze ne multikanálovém generátoru.
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{./Spektra/obdelnik_signal.png}
\includegraphics[width=150mm]{./Spektra/obdelnik_spektrum.png}
\end{center}
\caption{Syntezovaný obdélník a jeho frekvenční spektrum}
\end{figure}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{./Spektra/trojuhelnik_signal.png}
\includegraphics[width=150mm]{./Spektra/trojuhelnik_spektrum.png}
\end{center}
\caption{Syntezovaný trojuhelnik a jeho frekvenční spektrum}
\end{figure}
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{./Spektra/pila_signal.png}
\includegraphics[width=150mm]{./Spektra/pila_spektrum.png}
\end{center}
\caption{Syntezovaná pila a její frekvenční spektrum}
\end{figure}
\section{Diskuse}
Většina naměřených dat se zdá být poměrně přesná, vyjímkou je měření ryhlosti zvuku, v Kundtově trubici, neboť zde bylo velkým problémem určit jednotlivé rezonance harmonických. Důvodem je nejspíše značně nehomogenní prostředí v trubici, které generuje v signálu značné množství dalších nežádoucích poruch. Největším defektem zřejmě je pochybně uzavřený konec trubice, který způsobuje, že tlakové kmitny při změně frekvence cestují po trubici. Navíc samotný výkon reproduktoru, je vzhledem k citlivosti mikrofonu poměrně slabý (je možné, že to ale byl důsledek vybité baterie v zesilovači mikrofonu).
\section*{Závěr}
Měřením byly v podstatě potvrzeny tabulkové hodnoty rychlostí zvuku a ověřeny rezonanční vlastnosti vlnění.
\begin{thebibliography}{99}
\bibitem{akustika}{Zadání úlohy 9 - Základní experimenty akustiky}. \href{http://fyzika.fjfi.cvut.cz/Praktika/Akustika/akustikaPRA.pdf}{http://fyzika.fjfi.cvut.cz/Praktika/Akustika/akustikaPRA.pdf}.
\bibitem{sctripta_vlneni}{Vlnění optika a atomoavá fyzika}. \href{http://www.fjfi.cvut.cz/files/k402/files/skripta/voaf/VOAF2008.pdf}{http://www.fjfi.cvut.cz/files/k402/files/skripta/voaf/VOAF2008.pdf}
\end{thebibliography}
\end{document}

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/dokumenty/skolni/PRA1/9-Akustika/quinck.txt
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/dokumenty/skolni/PRA1/9-Akustika/struna.txt
0,0 → 1,12
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/dokumenty/skolni/PRA1/1-Cavendish/cavendish.pdf
Cannot display: file marked as a binary type.
svn:mime-type = application/octet-stream
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+application/octet-stream
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/dokumenty/skolni/PRA1/1-Cavendish/cavendish.tex
0,0 → 1,96
\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Cavendishův experiment}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{9.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
\end{abstract}
\section{Úvod}
\begin{enumerate}
\item Odvoďte vztah pro výpočet chyby měření.
\item Zkontrolujte měřící aparaturu.
\item Dynamickou metodou změřte časový průběh torzních kmitů kyvadla v obou možných pozicích olověných koulí.
\item Naměřenou závislost nafitujte funkcí a zjistěte její fyzikální parametry.
\item Z takto získaných údajů dopočítejte gravitační konstantu a její chybu.
\item Výsledek srovnejte s tabulkovou hodnotou gravitační konstanty.
\end{enumerate}
\section{Postup měření}
Měření silového momentu, kterým působí dvě olověné koule na torzní kyvadlo jsme provedli tak, že koule byly nejprve umístěny křížem v blízkosti hmotností na koncích torzního kyvadla tak, aby na kyvadlo působili maximálním silovým momentem způsobeným gravitačním přitahováním. Následně jsme změřili střední polohu kyvadla dynamickou metodou. A koule prohodili tak, aby nyní působily svým silovým momentem na opačnou stranu. Po opětovném změření střední polohy jsme nyní dokázali určit silový moment, kterým koule působí na kyvadlo. Obrázky dobře popisující tento postup, jsou ve zdroji \cite{Cavendish}. Při měření bylo také důležité odstranit z aparatury elektrický náboj, který by značně ovlivňoval měření, neboť elektrická síla je nesrovnatelně větší než síla gravitační. Tento problém jsme ale vyřešili uzemněním celého přístroje k vodovodnímu potrubí.
\begin{figure}
\includegraphics[width=150mm]{./poloha1.pdf}
\caption{Časový průběh výchylky torzního kyvadla v 1. pozici koulí.}
\end{figure}
\begin{figure}
\includegraphics[width=150mm]{./poloha2.pdf}
\caption{Časový průběh výchylky torzního kyvadla v 2. pozici koulí.}
\end{figure}
Fitem naměřených dat funkcí
\begin{equation}
x=A \exp (- \delta t) \sin(2 \cdot \pi /T + \varphi)
\end{equation}
Jsme dostali žádané fyzikální parametry potřebné pro výpočet gravitační konstanty.
\begin{table}
\begin{center}
\begin{tabular}{|c|c|}
\hline
A [mm] & 429.751 \pm 2.133 \\ \hline
\delta & 0.000470283 \pm 7.339e-06 \\ \hline
T [s] & 497.817 \pm 0.3167 \\ \hline
\varphi [rad] & -0.634433 \pm 0.005027 \\ \hline
s [mm] & 1062.89 \pm 0.6162 \\ \hline
\end{tabular}
\caption{Vypočtené hodnoty pro první pozici koulí.}
\end{center}
\end{table}
\begin{table}
\begin{center}
\begin{tabular}{|c|c|}
\hline
A [mm] & 254.373 \pm 0.4389 \\ \hline
\delta & 0.000457669 \pm 2.783e-06 \\ \hline
T [s]& 498.212 \pm 0.1441 \\ \hline
\varphi [rad] & -2.72838 \pm -2.72838 \\ \hline
s [mm]& 961.297 \pm 0.1507 \\ \hline
\end{tabular}
\caption{Vypočtené hodnoty pro druhou pozici koulí.}
\end{center}
\end{table}
K výpočtu je ale nutné znát ještě i některé parametry aparatury. Jako hmotnosti závaží 1.25kg , délku ramena laserového paprsku 6m poloměr kuliček na torzním kyvadle 9.55mm poloměr vnějších kouli působících na kyvadlo 50mm a délky ramena torzního kyvadla 46.5mm.
Všechny tyto hodnot jsme dosadili do odvozeného vzorce
\begin{equation}
G=\frac{\pi^2 b^2 s}{T^2 m_2 L} \cdot \frac{d^2 + \frac{5}{2} r^2}{d (1-\beta)} \qquad \beta = \frac{b^3}{(b^2 + 4d^2)^\frac{3}{2}}
\end{equation}
Konečným cílem pak bylo pomocí této gravitační konstanty spočítat hmotnost Země. Za tímto účelem jsme Zemi aproximovali dokonalou koulí. O poloměru r=6372,796km s gravitačním zrychlením u povrchu g=9,81m/s. Výpočtem nám vyšla hmotnost Země m_z=(6.21 \pm 0.06 \cdot 10^{24} kg)
\section{Diskuse}
Při porovnání našich výsledků s tabulkovou hodnotou $G = (6.67428 \pm 0.00067) * 10^-11 m^2 / kg s^2 $ se ukázalo, že námi naměřená hodnota $G = (6.41 \pm 0.04) * 10^-11 m^2 / kg s^2 $ se liší o 3.93\%. Což je pro mne osobně docela velkým překvapením, protože jsem netušil, že lze gravitační konstantu těmito prostředky vůbec změřit a natož s takovou přesností. Fakt, že se tabulková hodnota nevejde do našeho výsledku včetně chyby bych přisuzoval tomu, že naše měření mohlo být zatíženo nějakou systematickou chybou, které jsme nevěnovali dostatečnou pozornost. Například by to mohla být příliš velká prodleva při přehazování koulí z jedné do druhé polohy. Nějaká teplotní změna a podobně.
\section{Závěr}
Pomocí torzních vah jsme úspěšně určili gravitační konstantu $\kappa = (6.41 \pm 0.04) \cdot 10^{-11} m^3 / kg s^2 $ s chybou 4\% oproti tabulkové hodnotě.
\begin{thebibliography}{99}
\bibitem{Cavendish}{Zadání úlohy 1 - Cavendishův experiment}\\.\href{http://rumcajs.fjfi.cvut.cz/fyzport/FundKonst/Cavendish/cav.pdf}{http://rumcajs.fjfi.cvut.cz/fyzport/FundKonst/Cavendish/cav.pdf}
\end{thebibliography}
\end{document}

/dokumenty/skolni/PRA1/1-Cavendish/cavendish.gp
0,0 → 1,31
set terminal postscript
set samples 2000
set key off
set xlabel "Time [s]"
set ylabel "Amplitude [mm]"
f(x)=a*exp(-d*x)*sin((2*pi/T)*x+fi)+s
s=1063
d=0.0002
a=430
T=498
fi=-0.1
set output "poloha2.ps"
fit f(x) "poloha2A.txt" using 1:2:3 via a,d,T,fi,s
plot "poloha2A.txt" using 1:2:3 with errorbars, f(x)
s=961
a=254
fi=-0.728
set output "poloha1.ps"
fit f(x) "poloha1B.txt" using 1:2:3 via a,d,T,fi,s
plot "poloha1B.txt" using 1:2:3 with errorbars, f(x)
#fit f(x) "poloha1A.txt" using 1:2:3 via a,d,T,fi,s
#plot "poloha1A.txt" using 1:2:3 with errorbars, "poloha2A.txt" using 1:2:3 with errorbars, "poloha1B.txt" using 1:2:3 with errorbars, f(x)
!ps2pdf poloha1.ps
!ps2pdf poloha2.ps

/dokumenty/skolni/PRA1/1-Cavendish/fit.log
0,0 → 1,104
*******************************************************************************
Tue Nov 17 22:02:24 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 84429 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 25719.1
initial set of free parameter values
a = 430
d = 0.0002
T = 498
fi = -0.1
s = 1063
After 7 iterations the fit converged.
final sum of squares of residuals : 119.509
rel. change during last iteration : -3.41463e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 1.42323
variance of residuals (reduced chisquare) = WSSR/ndf : 2.02558
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 429.751 +/- 2.116 (0.4923%)
d = 0.000470283 +/- 7.339e-06 (1.561%)
T = 497.817 +/- 0.3167 (0.06361%)
fi = -0.634433 +/- 0.005027 (0.7923%)
s = 1062.89 +/- 0.6162 (0.05797%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.862 1.000
T 0.035 0.044 1.000
fi 0.026 0.025 0.813 1.000
s -0.030 0.035 -0.037 -0.062 1.000
*******************************************************************************
Tue Nov 17 22:02:24 2009
FIT: data read from "poloha1B.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 354368 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 10536.2
initial set of free parameter values
a = 254
d = 0.000470283
T = 497.817
fi = -0.728
s = 961
After 10 iterations the fit converged.
final sum of squares of residuals : 7.14462
rel. change during last iteration : -3.92415e-09
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.347987
variance of residuals (reduced chisquare) = WSSR/ndf : 0.121095
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 254.373 +/- 0.4091 (0.1608%)
d = 0.000457669 +/- 2.783e-06 (0.6082%)
T = 498.212 +/- 0.1441 (0.02893%)
fi = -2.72838 +/- 0.002387 (0.08749%)
s = 961.297 +/- 0.1507 (0.01568%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.815 1.000
T -0.191 -0.148 1.000
fi -0.222 -0.205 0.837 1.000
s 0.060 -0.073 0.036 0.073 1.000

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2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath} bind def
/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
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/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
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/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
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/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
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closepath stroke grestore} def
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/Density {
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currentrgbcolor
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/ColB ColB Fillden mul Fillden sub 1 add def
ColR ColG ColB setrgbcolor} def
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/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
% x,y = lower left corner of box to be filled
% w,h = width and height of box
% a = angle in degrees between lines and x-axis
% XX = 0/1 for no/yes cross-hatch
%
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PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
gsave 1 setgray fill grestore clip
currentlinewidth 0.5 mul setlinewidth
/PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
0 0 M PFa 5 get rotate PFs -2 div dup translate
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
} if
stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
{/InterpretLevel1 Level1 def}
ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke}
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
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>> matrix makepattern
/Pat2 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
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>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
%%Page: 1 1
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1A prvni mereni.. prvni pozice kouli
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\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Studium ultrazvukových vln}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Dokument je záznamem měření, vlastností ultrazvukových vln. Odrazu, rychlosti šíření a difrakce.
\end{abstract}
\section{Úvod}
Prvním úkolem měření bylo zjistit závislost intenzity odraženého signálu od rovné kovové desku v závislosti na úhlu mezi vysílačem a přijímačem.
\section{Postup měření}
Nejdříve jsme začali ověřováním zákonu úhlu odrazu. Za tímto účelem, jsme k úhloměru připevnili odraznou kovovou desku, kterou jsme pomocí UZ reproduktoru ozarovali pod několika zvolenými úhly. Jak je vidět v následujících tabulkách.
\begin{table}[htbp]
\caption{Zákon odrazu}
\begin{center}
\begin{tabular}{|c|c|}
\hline
\multicolumn{ 2}{|c|}{Uhel dopadu: 70$^\circ$} \\ \hline
Úhel[$^\circ$] & Intenzita [1] \\ \hline
90 & 2,37 \\ \hline
100 & 2,07 \\ \hline
110 & 2,52 \\ \hline
120 & 2,67 \\ \hline
130 & 1,98 \\ \hline
140 & 1,21 \\ \hline
150 & 1,15 \\ \hline
\end{tabular}
\begin{tabular}{|c|c|}
\hline
\multicolumn{ 2}{|c|}{Uhel dopadu: 50$^\circ$} \\ \hline
Úhel[$^\circ$] & Intenzita [1] \\ \hline
90 & 1,37 \\ \hline
100 & 1,72 \\ \hline
110 & 2,59 \\ \hline
120 & 2,67 \\ \hline
130 & 2,58 \\ \hline
140 & 2,37 \\ \hline
150 & 1,86 \\ \hline
\end{tabular}
\begin{tabular}{|c|c|}
\hline
\multicolumn{ 2}{|c|}{Uhel dopadu: 40$^\circ$} \\ \hline
Úhel[$^\circ$] & Intenzita [1] \\ \hline
90 & 0,92 \\ \hline
100 & 1,23 \\ \hline
110 & 1,81 \\ \hline
120 & 2,25 \\ \hline
130 & 2,28 \\ \hline
140 & 2,62 \\ \hline
150 & 2,01 \\ \hline
\end{tabular}
\end{center}
\label{odraz}
\end{table}
%Graficke vyjadreni techto dat vypada takto:
%\begin{figure}[h] \caption{Odrazy ultrazvuku od kovove desky} \label{obr1}
% \begin{center} \includegraphics[width=5cm]{plot.ps} \end{center}
%\end{figure}
Dalším naším úkolem bylo změření rychlosti zvuku a pomocí této experimentálně zjištěné rychlosti se pak pokusit určit neznámou vzdálenost. Naše měření jsme prováděli odrazem. a jeho výsledky zobrazuje tabulka \ref{rychlost}.
Výpočtem s využitím informací z \cite{sonar} jsme z naměřených hodnot určili rychlost zvuku na $v_{z}=(321,8\pm6,8)m/s$
\begin{table}[htbp] \caption{Měření rychlosti zvuku}
\begin{center}
\begin{tabular}{|c|c|}
\hline Vzdálenost [cm] & čas[us] \\ \hline
5 & 420 \\ \hline
10 & 681 \\ \hline
15 & 1010 \\ \hline
20 & 1260 \\ \hline
25 & 1620 \\ \hline
30 & 1870 \\ \hline
35 & 2160 \\ \hline
40 & 2470 \\ \hline
45 & 2750 \\ \hline
50 & 3020 \\ \hline
\end{tabular}
\end{center}
\label{rychlost}
\end{table}
Známou rychlost jsme následně využili k dopočtení neznámé vzdálenosti od překážky za pomoci časového posunu změřeného echa. Jak ukazuje tabulka \ref{vzdalenost}.
\begin{table}[htbp]
\caption{Měření vzdálenosti odrazem}
\begin{center}
\begin{tabular}{|c|c|c|}
\hline cas[us] & \multicolumn{ 2}{|c|}{skutecna / zmerena vzdalenost [cm]}\\ \hline
1720 & 27 & 27,67 \\ \hline
1360 & 21 & 21,88 \\ \hline
2000 & 32 & 32,18 \\ \hline
2230 & 36 & 35,88 \\ \hline
2410 & 39 & 38,78 \\ \hline
2640 & 43 & 42,48 \\ \hline
\end{tabular}
\end{center}
\label{vzdalenost}
\end{table}
U všech těchto měření bylo vhodné odečíst 50us spoždění měřící aparatury (hlavně zesilovače).
Dalším úkolem bylo proměření Dopplerova posuvu, zde šlo již o náročnější měření s pohybujícím se vozíkem na kolejové dráze. Naměřené výsledky shrnuje tabulka \ref{doppler}.
\begin{table}[htbp]
\caption{Měření Dopplerova posuvu}
\begin{center}
\begin{tabular}{|c|l|} \hline
$f_0=40,42[kHz]$ & $v=0,61[m/s]$ \\ \hline
\multicolumn{ 2}{|c|}{40,48} \\ \hline
\multicolumn{ 2}{|c|}{40,49} \\ \hline
\multicolumn{ 2}{|c|}{40,48} \\ \hline
\multicolumn{ 2}{|c|}{40,48} \\ \hline
\multicolumn{ 2}{|c|}{40,49} \\ \hline
\multicolumn{ 2}{|c|}{40,48} \\ \hline
\end{tabular}
\begin{tabular}{|c|l|} \hline
$f_0=40,39[kHz]$ & $v=0,46[m/s]$ \\ \hline
\multicolumn{ 2}{|c|}{40,45} \\ \hline
\multicolumn{ 2}{|c|}{40,44} \\ \hline
\multicolumn{ 2}{|c|}{40,45} \\ \hline
\multicolumn{ 2}{|c|}{40,44} \\ \hline
\multicolumn{ 2}{|c|}{40,44} \\ \hline
\multicolumn{ 2}{|c|}{40,44} \\ \hline
\end{tabular}
\begin{tabular}{|c|l|} \hline
$f_0=40,48[kHz]$ & $v=0,4[m/s]$ \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,52} \\ \hline
\multicolumn{ 2}{|c|}{40,52} \\ \hline
\multicolumn{ 2}{|c|}{40,52} \\ \hline
\end{tabular}
\begin{tabular}{|c|l|} \hline
$f_0=40,47[kHz]$ & $v=0,5 [m/s]$ \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\multicolumn{ 2}{|c|}{40,53} \\ \hline
\end{tabular}
\end{center}
\label{doppler}
\end{table}
Nakonec následoval nejproblematičtější úkol a to měření difrakce. Zde bylo prakticky vyloučeno dodržet podmínky ze zadání ulohy \cite{sonar}, které specifikují vzdálenost mikrofonu od mřížky v rozsahu 3-4m. Z důvodu omezeného prostoru v laboratoři jsme tak měříli poize ve vzdálenosti 1,75m
\begin{table}[htbp]
\caption{Měření difrakce na mřížce m=10mm}
\begin{center}
\begin{tabular}{|c|c|}
\hline
\multicolumn{ 2}{|c|}{Počet štěrbin N=1} \\ \hline
offset[mm] & Intenzita[1] \\ \hline
268 & 0,3 \\ \hline
273 & 0,48 \\ \hline
277 & 0,64 \\ \hline
281 & 0,5 \\ \hline
285 & 0,29 \\ \hline
293 & 0,48 \\ \hline
300 & 1,17 \\ \hline
306 & 0,68 \\ \hline
322 & 0,19 \\ \hline
333 & 0,68 \\ \hline
\end{tabular}
\begin{tabular}{|c|c|}
\hline
\multicolumn{ 2}{|c|}{Počet štěrbin N=2} \\ \hline
offset[mm] & Intenzita[1] \\ \hline
292 & 0,79 \\ \hline
326 & 0,95 \\ \hline
271 & 0,94 \\ \hline
301 & 0,45 \\ \hline
264 & 0,43 \\ \hline
33,2 & 0,47 \\ \hline
\end{tabular}
\begin{tabular}{|c|c|}
\hline
\multicolumn{ 2}{|c|}{Počet štěrbin N=3} \\ \hline
offset[mm] & Intenzita[1] \\ \hline
300 & 3,15 \\ \hline
292 & 2,66 \\ \hline
282 & 3,8 \\ \hline
311 & 2,82 \\ \hline
324 & 3,35 \\ \hline
305 & 3,06 \\ \hline
295 & 3,01 \\ \hline
\end{tabular}
\end{center}
\label{difrakce}
\end{table}
\section{Diskuse}
Díky našim měřícím podmínkám bych výsleky měření hodnotil spíše, jako velice informativní, neboť například zvláště při měření difrakce se v datech uplaťnovala jakákoli změna měřeného prostředí. (procházející kolegové, přesun přívodních vodičů, i samotný přesun měřícího mikrofonu). Při ověřivání zákonu odrazu byla zase problematická neznalost vyzařívacích charakteristik reproduktoru. Navíc díky absenci jakéhokoli mechanického vedení docházelo k vyosení snímače z jeho původní pozice. Tento jev by sice bylo možné částečně eliminovat hledáním maxima signálu vždy pod zvoleným reflexním úhlem ale tato metoda by asi značně přesáhla měřící čas, který i tak byl velice napjatý.
\section*{Závěr}
Měřením jsme ověřili platnost zákona odrazu z geometrické optiky i pro zvukové vlny. Dále jsme zjistili, že rychlosti zvuku v našich laboratorních podmínkách se nijak zásadně neliší od tabulkových hodnot a též Dopplerův efekt je reálnou vlastností vlnění.
\begin{thebibliography}{99}
\bibitem{sonar}{\it Zadání úlohy 8 - sonar}. \href{http://praktika.fjfi.cvut.cz/Sonar}{http://praktika.fjfi.cvut.cz/Sonar}.
\end{thebibliography}
\end{document}

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/dokumenty/skolni/PRA1/8-Sonar/odraz.txt
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90 2.37 1.37 0.92
100 2.07 1.72 1.23
110 2.52 2.59 1.81
120 2.67 2.67 2.25
130 1.98 2.58 2.28
140 1.21 2.37 2.62
150 1.15 1.86 2.01

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0,0 → 1,7
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