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

Practice Questions

Q1
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?
  1. The same
  2. The faster one has a larger moment of inertia
  3. The slower one has a larger moment of inertia
  4. Cannot be determined

Questions & Step-by-Step Solutions

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.
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