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A solid homogenous sphere of mass M and radius r is moving on a rough horizontal surface, partly rolling and partly sliding. During this kind of motion of this sphere

Answer»

total KINETIC energy is conserved
the ANGULAR momentlim of the SPHERE about the point of contact with the plane is conserved
only the rotational kinetic energy about the centre of mass is conserved
angular momentum about the centre of mass of conserved.

Solution :Angular momentum of the sphere about the point of contact with the plane is conserved.
Angular momentum is conserved only when external TORQUE is zero. Total kinetic energy and rotational kinetic energy about the centre of mass is not conserved.


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