Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 14 - Oscillations - Exercises and Problems: 64

Answer

$T = 2\pi~\sqrt{\frac{R}{g}}$

Work Step by Step

We can model this situation like an ice cube on the end of a pendulum of length $R$. Instead of tension from a string, there is the normal force from the track exerted on the ice cube. We can thus find the period of the motion as; $T = 2\pi~\sqrt{\frac{R}{g}}$
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