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Q.

On a horizontal smooth plane there is a motionless vertical cylinder and disc A. A is connected to cylinder by thread AB. The disc is set in motion with initial velocity V. as shown. Then the angular momentum of the body is

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a

Conserved about B

b

Cannot be conserved about any point

c

Conserved about some point within the Plane of motion

d

Cannot be said

answer is B.

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Detailed Solution

Top view of cylinder is givenweight is balanced by Normal reactionresultant force= tension is initially acting at Btension  changes as it rotatestorque about point O  is not zero. τ=TR  in anticlockwise directiontherefore L of particle about O  is not conservedvelocity of particle changes continuously as direction changes.But KE remains constant as magnitude of velocity is constant
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On a horizontal smooth plane there is a motionless vertical cylinder and disc A. A is connected to cylinder by thread AB. The disc is set in motion with initial velocity V. as shown. Then the angular momentum of the body is