Damped Forced Motion II A 32-lb weight is attached to a spring suspended from the ceiling, stretching the spring by 1.6 ft before coming to rest. At time t = 0 an external force of f(t) = 20cos 2t is applied to. the system. Assume that the mass is acted upon by a damping force of 4X, where X is the instantaneous velocity in feet per second. Find the displacement of the weight with x(0) = 0 and X(0) = 0.

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