A 32 lb weight is attached to the end of a spring with constant k = 9 lb/ft and subjected to an external force F(t) = 8 sin t lb. The weight is initially displaced 6 inches above equilibrium and given an upward velocity of 2 ft/sec. Find the equation of motion. Ou(t)=sin(t) Ou(t) = sin(t) - sin (3t) - Ou(t) = 3 sin (t) - 2 sin (3t) - cos(3t) Ou(t)=2 sin (t) - 3 sin (3t) - cos (3) - sin(3t) - cos (3t) 9 cos (3t)

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