Chapter 12, Problem 9A

Which will have the greater acceleration rolling down an incline—a hoop or a solid disk?

To determine

The object that has the greater acceleration rolling down an incline out of a hoop or a solid disk.

Answer to Problem 9A

Both will have same acceleration.

Explanation of Solution

Introduction:

The acceleration of a rolling object depends on the ratio of the inertia and mass. And, all the objects with same shape has the same inertia to the mass ratio.

Since the shape of the hoop and that of the disk is same, thus both will have same inertia to mass ration, and thereby will have same acceleration while rolling down the incline.

Conclusion:

Hence, both the hoop and the sphere will have same acceleration due to same inertia to mass ratio.