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

Published by Pearson

# Chapter 8 - Dynamics II: Motion in a Plane - Exercises and Problems - Page 213: 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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