# a02 - \documentclass[12pt]cfw_article % BB Jan 25 2009....

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\documentclass[12pt]{article} % BB Jan 25 2009. \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 2}\\% \vspace {3mm} (January 12, 2009) \\ \end{center} \setcounter{equation}{0} \begin{description} %%%%%%%%%%%%%%%%%%%%%%%%%% \item{(8a)} Derive the Euler-Lagrange equations from $$\delta \int_{t_1}^{t_2} dt\,L = 0\,,\qquad L=L(q_i,\dot q_i,t)\,, \qquad i=1,\dots,n_f\,.$$ Due January 14 in class (6 points). \item{(8b)} Write down and solve the Euler-Lagrange equation for a free particle, $T=m\dot{x}^2/2$, $U=0$. Due January 14 in class (2 points).

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## a02 - \documentclass[12pt]cfw_article % BB Jan 25 2009....

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