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A mass weighing 96 lb is attached to a spring hanging from the ceiling and comes...

A mass weighing 96 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(4t) lb is applied to the system. If the spring constant is 10 lb/ft and the damping constant is 3 lb-sec/ft, find the​ steady-state solution for the system.

Use g=32 ft/sec^2

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