Which of the following statements is true regarding the moment of inertia?

Practice Questions

Q1
Which of the following statements is true regarding the moment of inertia?
  1. It depends on the mass distribution
  2. It is always constant
  3. It is independent of the axis of rotation
  4. It is only relevant for rigid bodies

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the moment of inertia?
Correct Answer: The moment of inertia depends on the mass distribution relative to the axis of rotation.
  • Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to change the rotation of an object.
  • Step 2: Recognize that moment of inertia is affected by how mass is spread out in relation to the axis around which the object rotates.
  • Step 3: Realize that if the mass is closer to the axis, the moment of inertia is smaller, making it easier to rotate. If the mass is farther away, the moment of inertia is larger, making it harder to rotate.
  • Step 4: Conclude that the statement 'The moment of inertia depends on the mass distribution relative to the axis of rotation' is true.
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