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 3 in/s, find its position u at any time. Assume the acceleration of gravity g = 32 ft/s². 21 cos2√311+ -21 sin2√31t U= e-2¹ cos2√31t 11= -21 sin2√31t e-21 sin2√311 8√31 u= 8√31 8√31 cos2√31t+ 21 sin2√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 3 in/s, find its position u at any time. Assume the acceleration of gravity g = 32 ft/s². 21 cos2√311+ -21 sin2√31t U= e-2¹ cos2√31t 11= -21 sin2√31t e-21 sin2√311 8√31 u= 8√31 8√31 cos2√31t+ 21 sin2√31t

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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