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

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Advance Math

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

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