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{\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. (*)



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{\bf Answer}

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