A shock absorber is to be designed to limit its overshoot to \(15 \%\) of its initial displacement when released. Find the damping ratio \(\zeta_{0}\) required. What will be the overshoot if \(\zeta\) is made equal to

(a) \(\frac{3}{4} \zeta_{0}\), and

(b) \(\frac{5}{4} \zeta_{0}\) ?