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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 6 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s?. 1 -21 u = 'cos231t 31 1 "cos2/31t u = 4V31 1 -21 'cos2311 + -21 sin2 /31t 4V31 u = 4V31 1. u = 'sin2 31 4V31 1 u = 31 'cos2 31 + 1 -21 sin2 31t V31 1 -21 sin2 317 u = 31

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 6 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s?. 1 -21 u = 'cos231t 31 1 "cos2/31t u = 4V31 1 -21 'cos2311 + -21 sin2 /31t 4V31 u = 4V31 1. u = 'sin2 31 4V31 1 u = 31 'cos2 31 + 1 -21 sin2 31t V31 1 -21 sin2 317 u = 31

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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view Polices Current Attempt in Progress 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 6 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s?. 1 -21 e cos231t u = - V31 1 u = -21 cos2 /31t 4V31 1 -2t cos2 311 + 4V31 u = -2t 'sin231t V31 -2r 'sin231 4V31 u = cos2 V31 +- V31 sin231t u = - V31 1 -21 'sin2 31t V31 u = V earch 33°C Partly sunny
Transcribed Image Text:view Polices Current Attempt in Progress 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 6 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s?. 1 -21 e cos231t u = - V31 1 u = -21 cos2 /31t 4V31 1 -2t cos2 311 + 4V31 u = -2t 'sin231t V31 -2r 'sin231 4V31 u = cos2 V31 +- V31 sin231t u = - V31 1 -21 'sin2 31t V31 u = V earch 33°C Partly sunny
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