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

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Physics

A mass weighing 16 pounds stretches a spring

8
3

feet. The mass is initially released from rest from a point 7feet below the equilibrium position, and the subsequent motiontakes place in a medium that offers a damping force that isnumerically equal 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) = 25cos(3t).

(Use

g = 32 ft/s2

for the acceleration due to gravity.)

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