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A 4-pound weight stretches a spring 2 feet.

A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to
7
times the instantaneous velocity. Use the Laplace transform to find the equation of motion x(t). (Use g = 32 ft/s2 for the acceleration due to gravity.)
8
x(t) =
Transcribed Image Text:A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to 7 times the instantaneous velocity. Use the Laplace transform to find the equation of motion x(t). (Use g = 32 ft/s2 for the acceleration due to gravity.) 8 x(t) =
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