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: 50


The cone will slide first.

Work Step by Step

The center of mass of a cone is 1/4 of its height from the base. We know that the cone will top when the center of mass is over the corner of the cone, which is h/6 away from its center. Thus: $\theta = tan^{-1}(\frac{h/6}{h/4})=33.69^{\circ}$ We see when the cone will slide: $\theta = tan^{-1}(.63)=32.21^{\circ}$ The cone will slide first.
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