Consider a spring mass system with a 144 lb object attached. Suppose the object stretches the spring 18 inches in equilibrium. If the object is initially displaced 8 inches above equilibrium and given an initial velocity of -2 ft/s, find its displacement y in feet as a function of time t. Assume that this motion is undamped and that the spring is not deformed in the process. y(t) = feet

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Consider a spring mass system with a 144 lb object attached. Suppose the object stretches the spring 18
inches in equilibrium. If the object is initially displaced 8 inches above equilibrium and given an initial
velocity of -2 ft/s, find its displacement y in feet as a function of time t. Assume that this motion is
undamped and that the spring is not deformed in the process.
y(t) =
feet
Transcribed Image Text:Consider a spring mass system with a 144 lb object attached. Suppose the object stretches the spring 18 inches in equilibrium. If the object is initially displaced 8 inches above equilibrium and given an initial velocity of -2 ft/s, find its displacement y in feet as a function of time t. Assume that this motion is undamped and that the spring is not deformed in the process. y(t) = feet
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