Chapter 12, Problem 2A

Does the rotational inertia of an object differ for different axes of rotation?

To determine

Whether the rotational inertia of an object differ for different axes of rotation.

Answer to Problem 2A

Yes

Explanation of Solution

Introduction:

Rotational inertia of a mass $m$ at a distance $r$ from the axis of rotation is given by,

  $I=m{r}^2$

As can be seen from above that the rotational inertia of an object is directly proportional to the square of its distance from the axis of rotation.. This distance would be different for different considered axes.

Conclusion:

Hence, the rotational inertia of an object will differ for different axes of rotation.