Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 7 - Linear Momentum - Problems - Page 194: 53

Answer

Let the origin be the lower left front corner of the pallet. $$x_{CM}=1.2L$$ $$y_{CM}=2.1L$$

Work Step by Step

Suppose each case has mass M and side length L. Let the origin be the lower left front corner of the pallet. Use equations 7-9a and 7-9b. In the x-direction: There are 5 cases with center of mass at L/2, 3 cases with center of mass at 3L/2, and 2 cases with center of mass at 5L/2. $$x_{CM}=\frac{(5M)(L/2)+ (3M)(3L/2)+ (2M)(5L/2)}{10M}=1.2L$$ In the y-direction: There is 1 case with center of mass at L/2, 2 cases with center of mass at 3L/2, and 7 cases with center of mass at 5L/2. $$y_{CM}=\frac{(1M)(L/2)+ (2M)(3L/2)+ (7M)(5L/2)}{10M}=2.1L$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.