A solid homogeneous 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 the sphere

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only the rotational kinetic energy about the centre of mass is conserved

total kinetic energy is conserved

angular momentum about the centre of mass is conserved.

the angular momentum of the sphere about the point of contact with the plane is conserved

answer is B.

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Detailed Solution

Due to friction linear momentum is not conserved.

Lines of action of gravity force mg , normal reaction N and frictitional force f pass through the point of contact with the surface . Since these forces do not produce any moment about the point of contact , angular momentum about the point of contact remains conserved .

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