Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 12 - Exercises and Problems - Page 217: 49

Answer

The block will slide before it tips is mu is less than 1/2.

Work Step by Step

We found the following two expressions for theta. $\theta=tan^{-1}(1/2)$ $\theta = tan^{-1}(\mu)$ We see that the upper expression reflects when the block will tip, and the lower expression reflects when the block will slide. Thus, we see that the block will slide before it tips if mu is less than 1/2.
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