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Why does a body rotate about its centre of mass when it is free to rotate?

Why does a body rotate about its centre of mass when it is free to rotate?

Grade:12

1 Answers

Arun
25750 Points
5 years ago
Ok, consider that the body was not rotating around its Center Of Mass(COM) , then we can safely say that the COM is rotating around an imaginary axis. If the COM is rotating, that means it needs some kind of centripetal force to continue rotating around the imaginary axis. But there is no external force present that is required by the rod(centripetal) to rotate on an axis not passing through the COM. Therefore we can safely say that the rod can never rotate in an axis which does not pass through the COM if there is no external force. #Proof by contradiction

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