Problem $4$:

Consider the mechanical system shown in the figure, where $m=4$

$kg,b=100N-\frac{s}{m},$ and $k=200\frac{N}{m}.$ Assume that the displacement

$x$ of mass $m$ is measured from the equilibrium position and that at $t$

$=0$ the mass $m$ is pulled downward such that $x(0)=0\mathrm{.}1m$ and $x^{}(0)$

$=-0\mathrm{.}05\frac{m}{s}.$ Use MATLAB to obtain the motion of the mass

subjected to the initial condition. $($Assume no external forcing

function.$)$