File:Puit potentiel parabole.svg
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Summary[edit]
Puits de potentiel pour le pendule simple et son approximation harmonique L'angle indique l'élongation à partir de laquelle le puit de potentiel exacte diffère de plus de 1% de son approximation parabolique. vaut environ 0.345 rad, soit 19.8°
Source code [1]
\documentclass{article}
\usepackage[dvips]{pstricks}
\usepackage{pst-plot}
\pagestyle{empty}
\begin{document}
\psset{xunit=2cm,yunit=2cm}
\begin{pspicture}(-4,-1)(4,3.5)
\psline[linecolor=gray](-3.14,2)(3.14,2)
\psline[linecolor=gray, linestyle=dashed](3.14,0)(3.14,2)
% dashed = pointillés
\psline[linecolor=gray, linestyle=dashed](-3.14,0)(-3.14,2)
\psplot[plotpoints=200,linecolor=red, linewidth=1pt]{-2.5}{2.5}{x 2 exp 2 div}
% il faut utiliser la notation polonaise inversée pour tracer des courbes de fonctions
% 200 points sont calculés pour tracer la courbe.
\psaxes[linecolor=black, labels=none, ticks=none]{->}(0,0)(-3.5,-0.5)(3.5,3.5)
% tracé des axes
\psline[arrows=C-C, linecolor=black](3.14,-3pt)(3.14,3pt)
% tracé de marques sur l'axe
\psline[arrows=C-C, linecolor=black](-3.14,-3pt)(-3.14,3pt)
\psline[arrows=C-C, linecolor=black](0.345,-3pt)(0.345,3pt)
\psline[arrows=C-C, linecolor=black](-0.345,-3pt)(-0.345,3pt)
\uput{8pt}[-90](3.14,0){$\pi$}
% affichage de la lettre pi
\uput{8pt}[-90](-3.14,0){$-\pi$}
\uput[-90](3.5,0){$\theta$}
\uput[-90](0.345,0){\color{red}$\theta_c$}
\uput[-90](-0.345,0){\color{red}$-\theta_c$}
\uput[-180](0,3.5){\color{blue}$E_p$}
\uput[135](0,2){$2mgl$}
\uput[-135](0,0){$0$}
\uput[0](2.5,3.125){\color{red}$mgl\cdot \theta^2/2$}
\psplot[plotpoints=200,linecolor=blue]{-3.14}{3.14}{1 57.29582 x mul cos sub}
\end{pspicture}
\end{document}
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:56, 6 June 2006 | | 403 × 236 (31 KB) | Quark67 (talk | contribs) | Puits de potentiel pour le pendule simple et son approximation harmonique L'angle <math>\theta_c</math> indique l'élongation à partir de laquelle le puit de potentiel exacte diffère de plus de 1% de son approximation parabolique. <math>\theta_c</math> |
| 20:24, 6 June 2006 |  | 403 × 236 (31 KB) | Quark67 (talk | contribs) | Puits de potentiel pour le pendule simple et son approximation harmonique == Author == fr:User:Quark67 |
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