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A mass weighing 32 lb is attached to a spring hanging from the ceiling and comes...

A mass weighing 32 lb 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) = 3cos(2t) lb is applied to the system. If the spring constant is 10lb/ft and the damping constant is 4 lb-sec/ft, find the steady state solution for the system. Use g = 32 ft / sec^2

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