A mass weighing 64lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t=0
, an external force of F(t)=3cos4t lb is applied to the system. If the spring constant is 20 lb/ft and the damping constant is 2 lb-sec/ft, find the steady-state solution for the system. Use g=32 ft/sec^2
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