A 20-kg machine has a passive isolation system whose damping ratio is 0.28 and whose un-damped natural

Question:

A 20-kg machine has a passive isolation system whose damping ratio is 0.28 and whose un-damped natural frequency is 13.2 rad/s. Assuming that the passive system remains in place, calculate the control gains required to give a damping ratio of ( = 0.707 and a resonant frequency of 141 rad/s.