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Q.

A sphere is projected along a rough horizontal surface. After initial slipping the sphere starts pure rolling on the surface. During the course of slipping, angular momentum of the sphere remains conserved about the point 

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a

B

b

C

c

O

d

A

answer is C.

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Detailed Solution

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During the course of slipping, forces acting on the sphere are as shown in the figure. Angular momentum of a body about a point remains conserved if moment of all forces about that point is zero. In the diagram it is evident that, resultant moment of mg, N and f is zero about point O only, as the lines of action of the forces pass through O. 

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