The engine is mounted on a foundation block which is spring supported. Describe the steady...

The engine is mounted on a foundation block which is spring supported. Describe the steady-state vibration of the system if the block and engine have a total weight of 1500 lb and the engine, when running, creates an impressed force F = (50 sin 2t) lb, where t is in seconds. Assume that the system vibrates only in the vertical direction, with the positive displacement measured downward, and that the total stiffness of the springs can be represented as k = 2000 lb/ft.