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?

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Q: 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?

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

Steps: 4

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.