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...

Extracted 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