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A spring is stretched by 9 in by a mass weighing 18 lb. The mass is...

A spring is stretched by 9 in by a mass weighing 18 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.15 lb⋅s/ft and is acted on by an external force of 6cos⁡(8t) lb.Determine the steady state response of this system. Use 32 ft/s^2 as the acceleration due to gravity. Pay close attention to the units. Leave answer in terms of exact numbers(no decimals).

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