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A mass of 1 slug, when attached to a spring, stretches it 2 feet and then...

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Advance Math

A mass of 1 slug, when attached to a spring, stretches it 2 feetand then comes to rest in the equilibrium position. Starting at t =0, an external force equal to f(t) = 10 sin(4t) is applied to thesystem. Find the equation of motion if the surrounding mediumoffers a damping force that is numerically equal to 8 times theinstantaneous velocity. (Use g = 32 ft/s2 for theacceleration due to gravity.)

x(t) = ____________ft

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