System Of Particles And Rotational Motion Ques 53
53. 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
[1988]
(a) total mechanical energy is conserved
(b) the angular momentum of the sphere about the point of contact with the plane is conserved
(c) only the rotational kinetic energy about the centre of mass is conserved in the absence of external torques
(d) angular momentum about the centre of mass is conserved.
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Answer:
Correct Answer: 53.(b)
Solution:
Angular momentum about the point of contact with the surface includes the angular momentum about the centre. Due to friction linear momentum is not conserved.
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