A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 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). (Useg = 32 ft/s? for the acceleration due to 8 gravity.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 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). (Useg = 32 ft/s? for the acceleration due to
8
gravity.)
x(t) =
Transcribed Image Text:A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 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). (Useg = 32 ft/s? for the acceleration due to 8 gravity.) x(t) =
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