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A 128-lb weight is attached to a spring having a spring constant of 64 lb/ft. The...

A 128-lb weight is attached to a spring having a spring constant of 64 lb/ft. The weight is started in motion with no initial velocity by displacing it 6 in below the equilibrium position and by simultaneously applying an external force F(t) = 8sin(4t). a. Assuming no air resistance, find the equation of motion. b. What is the long term behavior of the motion? Please use differential equations to solve this

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