College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 4 - Force and Motion - Learning Path Questions and Exercises - Exercises - Page 140: 84

Answer

a). $(1)$ the tension increases. b). $3465N$ in each cable.

Work Step by Step

a). The tension will increase (1). Because as $\theta$ decreases, $sin\theta$ also decreases. However, the vertical component of both the cables together is $2Tsin\theta$ which is equal to $mg$ is fixed. So, if $sin\theta$ decreases, T should increase. b). $2Tsin45^{\circ}=mg$ $T=\frac{500\times9.8}{2\times\frac{1}{\sqrt 2}}=3465N$
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