A rigid plate, weighing 100 lb, is hinged along an edge (P) and is supported on a dashpot with c = 1 at the opposite edge (Q), as shown in Fig. 3.65. A small fan weighing 50 lb and rotating at 750 rpm is mounted on the plate through a spring with k = 200 Ib/in. If the center of gravity of the fan is located at 0.1 in. from its axis of rotation, find the steadystate motion of the edge Q and the force transmitted to the point S.