Classical Dynamics of Particles and Systems

5th Edition

ISBN: 9780534408961

Author: Stephen T. Thornton, Jerry B. Marion

Publisher: Cengage Learning

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A ball attached to a spring is raised 2 feet and released with an initial vertical velocity of 3 feet per second. The distance of the ball from its rest position after t seconds is given by d = 2 cos t + 3 sin t. Show that 2 cos t + 3 sin t = √13 cos(t - θ),where θ lies in quadrant I and tanθ =( 3/2). Use the identity to find the amplitude and the period of the ball’s motion.

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