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Differential Equations A spring is stretched 6in by a mass that weighs 8 lb. The mass...

Differential Equations

A spring is stretched 6in 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 2cos(2t) lb.

(a) Find position u(t) of the mass at time t

(b) Determine the steady-state response of this system

Assume that g = 32 ft/s2

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