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A spring is stretched by 7in by a mass weighing 17lb. The mass is attached to...

A spring is stretched by 7in by a mass weighing 17lb. The mass is attached to a dashpot mechanism that has a damping constant of .3 lb* s/ft and is acted on by an external force of 4cos(8t)lb. Determine the steady state response of this system. Use 32 ft/s2 as the acceleration due to gravity. Pay close attention to the units.

U(t) = ? ft

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