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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 7 times the instantaneous velocity. Use the Laplace transform to find the equation of 8 place in a medium offering a damping force numerically equal to motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) =

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 7 times the instantaneous velocity. Use the Laplace transform to find the equation of 8 place in a medium offering a damping force numerically equal to motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 7 times the instantaneous velocity. Use the Laplace transform to find the equation of 8 place in a medium offering a damping force numerically equal to motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) 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 7 times the instantaneous velocity. Use the Laplace transform to find the equation of 8 place in a medium offering a damping force numerically equal to motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) =
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