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 12 - Rotation of a Rigid Body - Exercises and Problems - Page 348: 7

Answer

The coordinates of the center of mass are (6.7 cm, 5 cm)

Work Step by Step

We can find the x-coordinate of the center of mass. $x_{com} = \frac{(200~g)(0)+(300~g)(10~cm)+(100~g)(10~cm)}{100~g+200~g+300~g}$ $x_{com} = 6.7~cm$ We can find the y-coordinate of the center of mass. $y_{com} = \frac{(200~g)(0)+(300~g)(10~cm)+(100~g)(0)}{100~g+200~g+300~g}$ $y_{com} = 5~cm$ The coordinates of the center of mass are (6.7 cm, 5 cm).
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