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A spring is attached 6 in by a mass that weighs 8 lb. The mass is...

A spring is attached 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb.s/ft and is acted on by an external force of 4cos(2t) lb. 1. Determine the steady state response of this system 2. If the given mass is replaced by a mass m, determine the value of m for which the amplitude of the steady state response is maximum. 3. Write down the gain factor resulting from this external force.

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