If two rigid bodies have the same mass and shape but one is rotating faster than

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Question: If two rigid bodies have the same mass and shape but one is rotating faster than the other, how does their moment of inertia compare?

Options:

Correct Answer: The same

Solution:

The moment of inertia depends only on the mass distribution and shape, not on the angular velocity.

If two rigid bodies have the same mass and shape but one is rotating faster than the other, how does their moment of inertia compare?

If two rigid bodies have the same mass and shape but one is rotating faster than the other, how does their moment of inertia compare?

Correct Answer: Same

Step 1: Understand what moment of inertia is. It is a measure of how mass is distributed in an object and how that affects its rotation.
Step 2: Recognize that moment of inertia depends only on the mass and shape of the object, not how fast it is rotating.
Step 3: Since both rigid bodies have the same mass and shape, they will have the same moment of inertia.
Step 4: Conclude that even if one body is rotating faster, their moments of inertia are equal.

Moment of Inertia – The moment of inertia is a measure of an object's resistance to changes in its rotation, depending solely on its mass distribution relative to the axis of rotation.
Angular Velocity – Angular velocity refers to the rate of rotation of an object, which does not affect the moment of inertia.