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A mass weighing 5 lb stretches a spring 3.5 inches. The mass is given a positive displacement of 9 inches from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. u" + u'+ with u(0) = Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s². and u'(0) U= =

A mass weighing 5 lb stretches a spring 3.5 inches. The mass is given a positive displacement of 9 inches from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. u" + u'+ with u(0) = Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s². and u'(0) U= =

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 mass weighing 5 lb stretches a spring 3.5 inches. The mass is given a positive displacement of 9 inches from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. u" + u'+ and u'(0) with u(0) = Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s². U= =
Transcribed Image Text:A mass weighing 5 lb stretches a spring 3.5 inches. The mass is given a positive displacement of 9 inches from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. u" + u'+ and u'(0) with u(0) = Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s². U= =
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