<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[12pt]{article}
\newcommand{\ds}{\displaystyle}
\newcommand{\pl}{\partial}
\newcommand{\dy}{\frac{dy}{dx}}
\parindent=0pt
\begin{document}

{\bf Question}

A damped mass-spring system is governed by the equations $$ \dot x
= v\qquad \dot v = -4v -3 x $$ What term in this system describes
the damping and which one describes the spring?\\ Find $v$ as a
function of $x$.\\ Obtain the solution to the equation and
calculate the corresponding velocity when $$ x(0)=4 \quad v(0)=0.
$$ Roughly sketch $x(t)$ and $v(t)$. \\ Determine whether the
system, under-damped, critically damped or over-damped. (*)



\vspace{0.25in}

{\bf Answer}

% No answer given


\end{document}
</pre></body></html>