A spring is stretched by 5in by a mass weighing 17lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.3lb⋅s/ft and is acted on by an external force of 9*cos⁡(8*t) 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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Exponential Growth Model

The relation that represents an exponential function is: