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A mass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb – s/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 2 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s².

A mass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb – s/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 2 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s².

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A mass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb – s/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 2 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s?. 1 U = cond Vi + sintv 1 4' sin4 /7t 1 cos4 7t + 24 u = sin4 7t 24V7 V7 1 A cos4/7t U = 24V7 'cos47t V7 1 4i sin4 7t 247 1 "sin4 /īt u =
Transcribed Image Text:A mass weighing 8 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb – s/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 2 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s?. 1 U = cond Vi + sintv 1 4' sin4 /7t 1 cos4 7t + 24 u = sin4 7t 24V7 V7 1 A cos4/7t U = 24V7 'cos47t V7 1 4i sin4 7t 247 1 "sin4 /īt u =
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