College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 8 - Section 8.8 - Multiple-Choice Questions - Page 309: 2

Answer

The force vector $b$ in the diagram shows the correct location and direction of the force.

Work Step by Step

The torque is $\tau = r\times F$, where $r$ is the smallest distance between the force vector and the axis, and $F$ is the perpendicular component of the force vector. To push the box over with the minimum force, we need to maximize the torque. We can maximize the torque by maximizing $r$. Clearly, the force $b$ in the diagram maximizes $r$ which in turn maximizes the torque. The force vector $b$ in the diagram shows the correct location and direction of the force.
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