Question $1$: A second order system is subjected to a unit step input. If the peak time $(Tp)$ of the

system response is $0\mathrm{.}1$ seconds and the system has a $20\%$ overshoot $(\%$OS$).$ Determine:

$($a$)$ the system undamped natural frequency ${}_n,$

$($b$)$ the system damping factor $,$