College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 5 - Problems - Page 188: 56


The tangential acceleration is $~g~sin~\theta$

Work Step by Step

The tension in the string is perpendicular to the direction of motion, so it does not affect the tangential acceleration. The component of the gravitational force directed parallel to the direction of motion provides the force for the tangential acceleration: $mg~sin~\theta = m~a_t$ $a_t = g~sin~\theta$ The tangential acceleration is $~g~sin~\theta$.
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