Question: Develop the EOM for Figure P5.77 if the base is excited horizontally by a motion of the form XB(t) = 5 cos(29t) cm. Assume that the support columns produce a damping factor for the slab of 0.075. Tasks:
(a) Determine the EOM for the system.
(b) Determine the plate's steady-state response.
(c) Determine the peak response of the system.