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A 128 lb weight is attached to a spring whereupon the spring is stretched 2 ft...

A 128 lb weight is attached to a spring whereupon the spring is stretched 2 ft and allowed to come to rest. The weight is set into motion from rest by displacing the spring 6 in above its equilibrium position and also by applying an external force F(t) = 8 sin 4t. Find the subsequent motion of the weight if the surrounding medium offers a negligible resistance.

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