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 2 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s². u u= u= 1 √31 1 12√31 1 1 12√31 1 √31 1 e-2¹ sin2 √/31t √3-2 sin 31 'cos2√311 + 21 cos2√√/31t "sin2√31t -21 sin2√31t 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 2 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s². u u= u= 1 √31 1 12√31 1 1 12√31 1 √31 1 e-2¹ sin2 √/31t √3-2 sin 31 'cos2√311 + 21 cos2√√/31t "sin2√31t -21 sin2√31t cos2√31t
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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