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 277: 58

Answer

$0.091^{\circ}$

Work Step by Step

We know that the, $F=S(\frac{\Delta X}{L_{0}})A=>(\frac{\Delta X}{L_{0}})=\frac{F}{SA}-(1)$ From the figure, we can write, $tan\theta=(\frac{\Delta X}{L_{0}})=>\theta=tan^{-1}(\frac{\Delta X}{L_{0}})-(2)$ (1)=>(2), $\theta=tan^{-1}[\frac{6\times10^{6}N}{(4.2\times10^{10}N/m^{2})(0.09\space m^{2})}]\approx0.091^{\circ}$ Here the shear modulus S for copper is taken from table 10.2
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