From ef864916c4115b862d65d2f22853717ef8b7b915 Mon Sep 17 00:00:00 2001 From: Juergen Gilg Date: Sun, 24 Jun 2012 10:15:07 +0200 Subject: [PATCH] =?utf8?q?ajout=C3=A9=20un=20lancer=20inclin=C3=A9=20avec?= =?utf8?q?=20du=20frottement=20dans=20les=20exemples=20distiller=20...?= MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit --- gravitation/LISTE.txt | 2 + gravitation/lancer_incline_distiller.pdf | Bin 0 -> 20751 bytes gravitation/lancer_incline_distiller.tex | 72 +++++++++++++++++++++++ 3 files changed, 74 insertions(+) create mode 100644 gravitation/lancer_incline_distiller.pdf create mode 100644 gravitation/lancer_incline_distiller.tex diff --git a/gravitation/LISTE.txt b/gravitation/LISTE.txt index c4d25b4..5753434 100644 --- a/gravitation/LISTE.txt +++ b/gravitation/LISTE.txt @@ -6,6 +6,8 @@ gravitation_02.pdf == Exemples avec Adobe Distiller gravitation_01_distiller.tex gravitation_01_distiller.pdf +lancer_incline_distiller.tex 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HcmV?d00001 diff --git a/gravitation/lancer_incline_distiller.tex b/gravitation/lancer_incline_distiller.tex new file mode 100644 index 0000000..a896926 --- /dev/null +++ b/gravitation/lancer_incline_distiller.tex @@ -0,0 +1,72 @@ +\documentclass{article} +\usepackage[a4paper,margin=2cm]{geometry} +\usepackage[latin1]{inputenc} +\usepackage{pstricks-add,pst-eqdf,pst-func} +\usepackage{array,amsmath} + +%%%%%%%%%%%%%%%%%% +\def\datRoot{C:/Users/J\"{u}rgen/Desktop/gravitation/} + +\begin{document} + +\def\eqlancerA{% +y[2]|y[3]|-d0/m0*y[2]|-d0/m0*y[3]-g0}% +\def\eqlancerB{% +y[2]|y[3]|0|-g0}% + +\section{Un lancer inclin\'{e} avec du frottement} + +Les \'{e}quations diff\'{e}rentielles sont : +\begin{align*} +\ddot{x}&=-\frac{d}{m}\dot{x}\\ +\ddot{y}&=-\frac{d}{m}\dot{y}-g +\end{align*} + +\begin{center} +\begin{pspicture}(-0.5,-0.5)(10,6) +\pstVerb{ + /m0 1 def + /d0 0.75 def + /theta0 60 def + /x0 0 def + /y0 1 def + /v0 10 def + /v0x v0 theta0 cos mul def + /v0y v0 theta0 sin mul def + /g0 9.81 def +}% +\psaxes[labels=none,ticks=none]{->}(0,0)(0,0)(10,5) +\uput[0](10,0){$x$} +\uput[90](0,5){$y$} +\rput(!0 y0){% +\psline[linecolor=gray]{->}(0;0)(!2 theta0 cos mul 2 theta0 sin mul) +\psline[linestyle=dashed](0,0)(1.5,0) +\psarc{->}(0,0){1}{0}{!theta0} +\rput(!2.2 theta0 cos mul 2.2 theta0 sin mul){$\vec{v}_0$} +\rput(!0.5 theta0 2 div cos mul 0.5 theta0 2 div sin mul){$\alpha$} +} +\psequadiff[method=rk4, + plotpoints=1000, + algebraic, + whichabs=0, + whichord=1, + tabname=XiAYiA +% ,saveData,filename=XiYi.dat +]{0}{5}{x0 y0 v0x v0y}{\eqlancerA}% +\listplot[linecolor=blue]{XiAYiA aload pop} +\psequadiff[method=rk4, + plotpoints=1000, + algebraic, + whichabs=0, + whichord=1, + tabname=XiBYiB +% ,saveData,filename=XiYi.dat +]{0}{5}{x0 y0 v0x v0y}{\eqlancerB}% +\listplot[linecolor=red]{XiBYiB aload pop} + +\end{pspicture} +\end{center} + + + +\end{document} -- 2.20.1