A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping force of 252 lbs when the mass has a speed of 6 ft/sec. Suppose the object is displaced an additional 7 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =

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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A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping
force of 252 lbs when the mass has a speed of 6 ft/sec.
Suppose the object is displaced an additional 7 inches and released.
Find an equation for the object's displacement, u(t), in feet after t seconds.
u(t) =
Transcribed Image Text:A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping force of 252 lbs when the mass has a speed of 6 ft/sec. Suppose the object is displaced an additional 7 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =
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