A vibration generator is placed on the deck to test the bridge under simulated earthquake loads.

1.      A vibration generator is placed on the deck to test the bridge under simulated earthquake loads. The generator produces a load of p(t) = (100 kip) sinѠt, where the forcing frequency, Ѡ = 6.28 Hz. The stiffness of the bridge is k = 200 kip/in. Calculate the maximum steady-state displacement and acceleration of the deck. Assume 5% damping ratio, and Ѡn = 5.49