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. ¹¹ cos2√31t+ ¹¹ sin2√31t 31 U = e-2¹ cos2√31t u = ¹sin2√31t U = -2¹ sin2 √√31t 6√31 u = u = O 6√31 √31 6√31 6√/31 'cos2√31t+ Fe-2¹ sin2 √/31t -2¹ cos2√31t
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. ¹¹ cos2√31t+ ¹¹ sin2√31t 31 U = e-2¹ cos2√31t u = ¹sin2√31t U = -2¹ sin2 √√31t 6√31 u = u = O 6√31 √31 6√31 6√/31 'cos2√31t+ Fe-2¹ sin2 √/31t -2¹ cos2√31t
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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