A mass weighing 6 Ib stretches a spring 3.5 inches. The mass is given a positive displacement of 5 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 3 cos 2t lb, formulate the initial value problem describing the motion of the mass. u"+ u'+ with u(0) and u'(0) = Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s².
A mass weighing 6 Ib stretches a spring 3.5 inches. The mass is given a positive displacement of 5 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 3 cos 2t lb, formulate the initial value problem describing the motion of the mass. u"+ u'+ with u(0) and u'(0) = Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s².
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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Transcribed Image Text:A mass weighing 6 lb stretches a spring 3.5 inches. The mass is given a positive displacement of 5 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 3 cos 2t Ib, formulate the initial value problem describing the motion of the mass.
u"+
u'+
u =
with u(0) =
and u'(0)
Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s?.
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