Figure P13.7 shows a system being driven by base excitation through a damping element. Assume that the

Question:

Figure P13.7 shows a system being driven by base excitation through a damping element. Assume that the base displacement is sinusoidal: y(t) = Y sin (t.
a. Derive the expression for X, the steady-state amplitude of motion of the mass m.
b. Derive the expression for Ft, the steady-state amplitude of the force transmitted to the support.