Q$2)$ Cobsider the system shown is Fic $2$ wis the followisg data: $k=1000\frac{N}{m},c=40N-1m,a=0\mathrm{.}3m,b=0\mathrm{.}5m,1=1m,M=60kzm=10kg,F_0=560N,a=10$ ratec.

$F_4$ : eyere

Derive the oquation of mocion of the system.

II$.$ Find the steady state respoese for rociticeal modion about the liage $0.$

III. Find the toeal respote for the syxtem if the isitial conditicas ${}_9=0\mathrm{.}1$ and ${}_0=0\mathrm{.}2$