A 4-pound weight stretches a spring 2 feet. The weight is released from rest 18 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to – times the instantaneous velocity. Use the Laplace transform to find the equation of motion x(t).

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A 4-pound weight stretches a spring 2 feet. The weight is released from rest 18 inches
above the equilibrium position, and the resulting motion takes place in a medium
offering a damping force numerically equal to - times the instantaneous velocity. Use
the Laplace transform to find the equation of motion x(t).
Transcribed Image Text:A 4-pound weight stretches a spring 2 feet. The weight is released from rest 18 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to - times the instantaneous velocity. Use the Laplace transform to find the equation of motion x(t).
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