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(Solved): Solve this using differiential equations! ( 16 pts ) A mass of 1 slug stretches a spring 2 ft and ...



Solve this using differiential equations! ( 16 pts ) A mass of 1 slug stretches a spring 2 ft and comes to rest at equilibrium. The system is attached to a dashpot that imparts a damping force equal to eight times the instantaneous velocity of the mass. Find the equation of motion if an external force equal to

f(t)=8sin(4t)

is applied to the system beginning at time

t=0

.

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