Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 8 - Dynamics II: Motion in a Plane - Conceptual Questions - Page 196: 3


$T_3 > T_1=T_4 > T_2$

Work Step by Step

The tension in the string provides the centripetal force to keep the objects moving in a circle. In general, the centripetal force is: $F = M~\frac{v^2}{R}$. We can write an expression for the tension in each case. $T_1 = m~\frac{v^2}{r}$ $T_2 = m~\frac{v^2}{2r}$ $T_3 = 2m~\frac{v^2}{r}$ $T_4 = 2m~\frac{v^2}{2r} = m~\frac{v^2}{r}$ We can write the tensions in order from largest to smallest: $T_3 > T_1=T_4 > T_2$
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