Asecond-order mechanical system has the transfer function :

g(s)= 1 = y(s) 0.15s2 + 1.4s + 128 u(s)

the system is initially at rest when a step-input force u(t) = 5u(t) n is applied.

a. show that the transient response will oscillate before reaching a steady-state response.

b. determine the oscillation frequency of the transient response in hz.

c. estimate the number of oscillations (cycles) before the system reaches steady state.