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 - Exercises and Problems - Page 199: 26


$T = 170~N$

Work Step by Step

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