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A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb-sec/ft and is acted on by an external force of 4 cos(2t) lb. Determine the steady-state response of this system. Assume that g = 32 ft/sec². Express your answer, uss(t), as a linear combination of sin(at) and cos(at), where u is in feet and t is in seconds. Uss(t)= = 240 901 cos(2 t) + 8 901 sin (2 t)

A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb-sec/ft and is acted on by an external force of 4 cos(2t) lb. Determine the steady-state response of this system. Assume that g = 32 ft/sec². Express your answer, uss(t), as a linear combination of sin(at) and cos(at), where u is in feet and t is in seconds. Uss(t)= = 240 901 cos(2 t) + 8 901 sin (2 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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A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb-sec/ft and is acted on by an external force of 4 cos (2t) lb. Determine the steady-state response of this system. Assume that g = 32 ft/sec². Express your answer, uss(t), as a linear combination of sin(at) and cos(at), where u is in feet and t is in seconds. Uss(t) = = 240 901 cos(2 t) + 8 sin (2 t) 901
Transcribed Image Text:A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb-sec/ft and is acted on by an external force of 4 cos (2t) lb. Determine the steady-state response of this system. Assume that g = 32 ft/sec². Express your answer, uss(t), as a linear combination of sin(at) and cos(at), where u is in feet and t is in seconds. Uss(t) = = 240 901 cos(2 t) + 8 sin (2 t) 901
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