Question Detail
Question
Which of the following is/are correct about center of mass of a body? (I) It is a point at which an applied force produces acceleration but no rotation; (II) It is a point at which an applied force produces both acceleration and rotation; (III) it is a point at which an applied force produces rotation but no acceleration.
Correct Answer
Option A is the correct answer.
Detailed Explanation
When a force acts at the center of mass, it produces pure translation (acceleration) with no rotation. If the force acts elsewhere, it produces both translation and rotation. So only I is correct.
Hint
Force through CM causes translation only.