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An object weighing 64 lbs hangs on the end of a spring, stretching the spring 3 inches. The object is in a medium that exerts a viscous resistance of 44 lbs when the object has a velocity of 4 ft/sec. Suppose the object is lifted an additional 3 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =

An object weighing 64 lbs hangs on the end of a spring, stretching the spring 3 inches. The object is in a medium that exerts a viscous resistance of 44 lbs when the object has a velocity of 4 ft/sec. Suppose the object is lifted an additional 3 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(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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• Question 4 An object weighing 64 lbs hangs on the end of a spring, stretching the spring 3 inches. The object is in a medium that exerts a viscous resistance of 44 lbs when the object has a velocity of 4 ft/sec. Suppose the object is lifted an additional 3 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) Remember that, in imperial units, acceleration due to gravity is 32 ft/s- and that Ibs are a measurement of force. Be sure to convert any measurements necessary so that the units match.
Transcribed Image Text:• Question 4 An object weighing 64 lbs hangs on the end of a spring, stretching the spring 3 inches. The object is in a medium that exerts a viscous resistance of 44 lbs when the object has a velocity of 4 ft/sec. Suppose the object is lifted an additional 3 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) Remember that, in imperial units, acceleration due to gravity is 32 ft/s- and that Ibs are a measurement of force. Be sure to convert any measurements necessary so that the units match.
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