A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from...

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A mass weighing 16 pounds stretches a spring 8/3
feet. The mass is initially released from rest from a point 3 feetbelow the equilibrium position, and the subsequent motion takesplace in a medium that offers a damping force that is numericallyequal to 1/2
the instantaneous velocity. Find the equation of motion x(t)
if the mass is driven by an external force equal to f(t) = 10cos(3t).
(Use g = 32 ft/s2
for the acceleration due to gravity.)

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