Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 8 - Dynamics II: Motion in a Plane - Exercises and Problems: 46

Answer

$T = 170~N$

Work Step by Step

We can use the equation for centripetal force to find the tension in the rope at the lowest point. Therefore; $\sum F = \frac{mv^2}{r}$ $T-mg = \frac{mv^2}{r}$ $T = \frac{mv^2}{r} + mg$ $T = \frac{(10.2~kg)(5.5~m/s)^2}{4.5~m} + 100~N$ $T = 170~N$
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