A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to 7 8 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.) Kindly answer the problem with correct and detailed solution thank you
A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to 7 8 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.) Kindly answer the problem with correct and detailed solution thank you
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A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to
| 7 |
| 8 |
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.)
Kindly answer the problem with correct and detailed solution thank you
Transcribed Image Text:A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and
the resulting motion takes place in a medium offering a damping force numerically equal to times the instantaneous
8
velocity. Use the Laplace transform to find the equation of motion x(t). (Use g = 32 ft/s² for the acceleration due to
gravity.)
x(t) =
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