(Solved): (5) Utilizing the spring-mass-damper system in Fig. 5.5, complete the following: a) Derive the EOM ...

(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 $$t=1?10\mathrm{s}$$ 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 $$?=3\frac{\mathrm{rad}}{\mathrm{s}}$$ ? Figure 5.5: Spring-mass-damper system for Problem 5.