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Q.

A uniform sphere of mass m, radius r and moment of inertia I about its centre moves along the x-axis as shown in figure. Its centre of mass moves with velocity = v0, and it rotates about its centre of mass with angular velocity = ω0. Let L=0+mv0r(k~). The angular momentum of the body about the origin O is

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a

L, only if v0=ω0r

b

greater than L, if v0>ω0r

c

less than L, if v0>ω0r

d

L, for all values of ω0 and v0

answer is D.

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Detailed Solution

L=R×mv0+Iω0=mv0+0 (which is constant) 

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