   Chapter 8, Problem 16CQ

Chapter
Section
Textbook Problem

A mouse is initially at rest on a horizontal turntable mounted on a frictionless, vertical axle. As the mouse begins to walk clockwise around the perimeter, which of the following statements must be true of the turntable? (a) It also turns clockwise, (b) It turns counterclockwise with the same angular velocity as the mouse, (c) It remains stationary, (d) It turns counterclockwise because angular momentum is conserved. (e) It turns clockwise because mechanical energy is conserved.

To determine
The direction in which the table turns.

Explanation

There is no net torque acting on the table. Therefore, angular momentum is conserved.

Conclusion:

As the mouse begins to walk clockwise, the table starts to rotate in the counterclockwise direction in order to conserve total angular momentum. Therefore, option (d) is correct.

The table can’t turn clockwise as it will violate conservation of angular momentum. Therefore, option (a) is incorrect...

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