Q$2$: For the system shown in Figure Q$2,$ the block is pulled along the inclined track by

$15$ cm and released form rest. Assume no friction act on the rollers.

Take: $m=2\mathrm{.}0kg,C=25N\frac{s}{m},k_1=0\mathrm{.}5k\frac{N}{m},k_2=0\mathrm{.}25k\frac{N}{m}$

Find:

i$-$ The damped frequency of the dynamic system

ii$-$ The response $($displacement$)$ of the block after $4$ sec $.$

$(20$ marks$)$