# a07 - \documentclass[12pt]cfw_article % BB Feb 16 2009....

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\documentclass[12pt]{article} % BB Feb 16 2009. \usepackage{epsfig} \textheight 9.0in \textwidth 6.0in \topmargin -0.4in \headsep 0.4in \oddsidemargin 0.25in \evensidemargin 0.25in \def\sqr#1#2{{\vcenter{\hrule height.#2pt \hbox{\vrule width.#2pt height#1pt \kern#1pt \vrule width.#2pt} \hrule height.#2pt}}} \def\square{{\mathchoice\sqr64\sqr64\sqr{4.2}3\sqr{3.0}3}} \def\undertext#1{$\underline{\smash{\hbox{#1}}}$} \pagestyle{empty} \begin{document} \begin{center} {\bf ADVANCED DYNAMICS --- PHY 4241/5227}\\\vspace {2mm} {\bf HOME AND CLASS WORK -- SET 7}\\% \vspace {3mm} (February 15, 2009) \\ \end{center} \setcounter{equation}{0} \begin{description} \item{(26)} Assume a central potential and $\vec{L}\ne 0$. \begin{enumerate} \item Use initial conditions in the CM system, $\vec{r}_0$ and $\vec{v}_0$ to define unit vectors $\hat{e}_1$, $\hat{e}_2$ and $\hat{e}_3$ of a Cartesian coordinates system in which $$L=|\vec{L}|=\mu\,r^2\,\dot{\phi}\,,~~~\phi_0=0\,,~\dot{\phi}_0>0$$ holds ($\phi$ azimuth angle). Due February 16 in class (3 points). \item Express the total energy $E_{\rm cm}$ in terms of $r$ and

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## This note was uploaded on 11/10/2011 for the course PHY 4241 taught by Professor Berg during the Spring '11 term at University of Florida.

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a07 - \documentclass[12pt]cfw_article % BB Feb 16 2009....

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