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Q. Statement I: It is harder to open and shut the door if we apply force near the hinge.
Statement II: For a given applied force, torque is maximum at hinge of the door.

System of Particles and Rotational Motion

Solution:

As the concept of centre of mass is only theoretical, therefore in practice no mass may lie at the centre of mass. For example, centre of mass of a uniform circular ring is at the centre of the ring where there is no mass