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A 64 lb object stretches a spring 4 ft. It is attached to a dashpot with damping constant y 8 lb-sec/ft. The object is initially displaced 12 inches above equilibrium and given an upward velocity of 2 ft/sec. Find the equation of motion. Ou(t) = 2e-2t sin (2t) Ou(t) u(t) =e-²t sin(2t) - Ou(t) 2e-2t sin (21) u(t) e -2t 2t e cos (2t) 1 e2t cos (2t) e 2t cos (2t) cos (2t) - e-2t sin (2t) е

A 64 lb object stretches a spring 4 ft. It is attached to a dashpot with damping constant y 8 lb-sec/ft. The object is initially displaced 12 inches above equilibrium and given an upward velocity of 2 ft/sec. Find the equation of motion. Ou(t) = 2e-2t sin (2t) Ou(t) u(t) =e-²t sin(2t) - Ou(t) 2e-2t sin (21) u(t) e -2t 2t e cos (2t) 1 e2t cos (2t) e 2t cos (2t) cos (2t) - e-2t sin (2t) е

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 64 lb object stretches a spring 4 ft. It is attached to a dashpot with damping constant y 8 lb-sec/ft. The object is initially displaced 12 inches above equilibrium and given an upward velocity of 2 ft/sec. Find the equation of motion. Ou(t) = 2e-2t sin (2t) Ou(t) Ou(t) ANNE Ou(t) e -2t sin (2t) - e e 2e-2t sin (2t) e cos (2t) -2t -2t cos (2t) 2t cos (2t) sin(2t) – e-2t cos (2t) - e-2t sin (2t) е
Transcribed Image Text:A 64 lb object stretches a spring 4 ft. It is attached to a dashpot with damping constant y 8 lb-sec/ft. The object is initially displaced 12 inches above equilibrium and given an upward velocity of 2 ft/sec. Find the equation of motion. Ou(t) = 2e-2t sin (2t) Ou(t) Ou(t) ANNE Ou(t) e -2t sin (2t) - e e 2e-2t sin (2t) e cos (2t) -2t -2t cos (2t) 2t cos (2t) sin(2t) – e-2t cos (2t) - e-2t sin (2t) е
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