Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 19 - Think and Explain: 55

Answer

The periods are equal.

Work Step by Step

When a point on the rotating wheel, moving in uniform circular motion, returns to its starting position, the needle, moving in simple harmonic motion, will also have completed one trip up and down. Their periods are the same. In other words, if a point is moving in uniform circular motion, its projection/shadow moves in simple harmonic motion.
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