solve by hand

(5) Utilizing the spring-mass-damper system in Fig. 5.5, complete the following: - a) Derive the EOM of the provided system - b) Compute the steady-state response of the system to the forcing applied - b) Plot the forcing function (F(t)) and the steady-state response of the system (x(t)) for t=110s on separate coordinate axes (Observe: the relationship between the forcing and response plots in terms of amplitude and phase shift) - c) What would you expect to happen to the response amplitude if the excitation frequency is reduced to =3srad ? Figure 5.5: Spring-mass-damper system for Problem 5