<! body.py (GHL) Date: 12/11/1998   Time: 13:19:29> <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//FR"> <!--Converted with LaTeX2HTML 98.1p1 release (March 2nd, 1998) originally by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds * revised and updated by:  Marcus Hennecke, Ross Moore, Herb Swan * with significant contributions from:   Jens Lippmann, Marek Rouchal, Martin Wilck and others --> <HTML> <HEAD> <TITLE>Exercice 1.2: Cylindre roulant.</TITLE> <META NAME="description" CONTENT="Exercice 1.2: Cylindre roulant."> <META NAME="keywords" CONTENT="TD"> <META NAME="resource-type" CONTENT="document"> <META NAME="distribution" CONTENT="global"> <META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1"> <LINK REL="STYLESHEET" HREF="TD.css"> <LINK REL="next" HREF="node5.html"> <LINK REL="previous" HREF="node3.html"> <LINK REL="up" HREF="node2.html"> <LINK REL="next" HREF="node5.html"> </HEAD> <BODY TEXT="#000000" BGCOLOR="#66FFFF" LINK="#0000EE"         VLINK="#551A8B" ALINK="#FF0000"><!--Navigation Panel--> <A NAME="tex2html75"  HREF="node5.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"  SRC="/usr/local/share/latex2html/icons.gif/next_motif.gif"></A>  <A NAME="tex2html72"  HREF="node2.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"  SRC="/usr/local/share/latex2html/icons.gif/up_motif.gif"></A>  <A NAME="tex2html66"  HREF="node3.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous"  SRC="/usr/local/share/latex2html/icons.gif/previous_motif.gif"></A>  <A NAME="tex2html74"  HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents"  SRC="/usr/local/share/latex2html/icons.gif/contents_motif.gif"></A>   <BR> <B> Next:</B> <A NAME="tex2html76"  HREF="node5.html">Exercice 1.3: Pendule sur</A> <B> Up:</B> <A NAME="tex2html73"  HREF="node2.html">Formalisme Lagrangien</A> <B> Previous:</B> <A NAME="tex2html67"  HREF="node3.html">Exercice 1.1: Double pendule</A> <BR> <BR> <!--End of Navigation Panel-->  <H1><A NAME="SECTION00220000000000000000"> <B>Exercice 1.2:</B> Cylindre roulant.</A> </H1> <BR> <DIV ALIGN="CENTER"> <IMG  WIDTH="334" HEIGHT="133"  SRC="img2.gif"  ALT="\begin{wrapfigure}{r}{7.5cm} \centerline{\epsfysize=3.cm\epsfbox{/home/theorie/fleck/Trait.text/Teach/OV/OV97-98/ser1exo2.eps}} \end{wrapfigure}"> </DIV> <BR CLEAR="ALL">Un cylindre homog&#232;ne roule sans glisser sur un plan horizontal, son axe est  reli&#233; par un ressort &#224; un point fixe.  <P> 1) Trouver le Lagrangien du syst&#232;me.  <P> 2) D&#233;duire l'&#233;quation diff&#233;rentielle du mouvement.  <P> 3) D&#233;terminer la pulsation propre.   <P> <BR><HR> <ADDRESS> <I><A HREF="mailto:fleck@ipnl.in2p3.fr">Sonia Fleck</A></I><BR><I>1998-10-30</I> </ADDRESS> </BODY> </HTML> 
