Question $9$ CLO$2(20$ marks$)$:

When the system shown in Figure $($a$)$ is subjected to a unit$-$step input, the system output responds as shown in Figure $($b$).$ Determine the values of a and c from the response curve.

a$)$ The system damping ratio $($ marks$)$

b$)$ The system damping frequency marks$)$

c$)$ The system damping frequency $(w_d)*(4$ marks$)$

d$)$ The values of $($a$)$ and $($c$)$ from the response curve. $(10$ marks$)$