A mass weighing 16
pounds stretches a spring
8
3
feet. The mass is
initially released from rest from a...
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A mass weighing 16pounds stretches a spring
8
3
feet. The mass isinitially released from rest from a point 5 feet below theequilibrium position, and the subsequent motion takes place in amedium that offers a damping force that is numerically equal to
1
2
the instantaneousvelocity. Find the equation of motion
x(t)
if the mass is drivenby an external force equal to
f(t)= 20 cos(3t).
(Use
g = 32ft/s2
for the acceleration due to gravity.)
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