Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 10 - Simple Harmonic Motion and Elasticity - Problems - Page 275: 19

Answer

The motion's angular frequency is $6.04rad/s$

Work Step by Step

From Conceptual Example 2, we learn that when a spring is divided into two halves, each half's spring constant is twice that of the original spring. Therefore, when the mentioned spring is cut into 4 shorter ones, each spring will have $k=420\times4=1680N/m$ An object of mass $m=46kg$ is attached to one spring. The motion's angular frequency is $$\omega=\sqrt{\frac{k}{m}}=6.04rad/s$$
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