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Suppose a mass weighing 64 lb stretches a spring 2 ft. If the weight is released...

Suppose a mass weighing 64 lb stretches a spring 2 ft. If the weight is released from rest from 2 ft below the equilibrium position, find the equation of motion x(t) (using Laplace transforms) if an impressed force f(t) = 2 sint acts on the system for 0≤t≤2πand is then removed. Ignore any damping forces.

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