A mass weighing 16 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 4 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s². 'cos2\/31t 31 1 'cos2 /31t + e-2ª sin2 /31t V31 V31 1 'sin2 /31t 31 1 e-24 cos2 /31t 6/31 1 u = 'cos2 /31t +: 6/31 "sin2 /3It 6/31 1 'sin2 /31t u = 6/31 II II

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A mass weighing 16 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 4 in/s, find its position u at any time t. Assume the
acceleration of gravity g = 32 ft/s².
1
'cos2 /31t
V31
-2ª cos2 31t +
V31
1
'sin2 /31t
V31
-2' sin2 /31t
V31
1
-"cos2/31t
6/31
U =
1
1
'cos2/31t +
6/31
sin2 /31t
6V31
1
'sin2 /31t
6/31
Transcribed Image Text:A mass weighing 16 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 4 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s². 1 'cos2 /31t V31 -2ª cos2 31t + V31 1 'sin2 /31t V31 -2' sin2 /31t V31 1 -"cos2/31t 6/31 U = 1 1 'cos2/31t + 6/31 sin2 /31t 6V31 1 'sin2 /31t 6/31
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