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The angular momentum of the disc which spins with $\vec{ω} = \frac{3 v}{R} \hat{k}$ and its CM moves with a velocity $\vec{v} = v \hat{i}$ about O will be

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3mvR2k^

mvR2k^

−3mvR2k^

−mvR2k^

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Correct option is B

The angular momentum of the disc about O isL→O=mr→C×v→C+ICω→=m(xi^+Rj^)×vi^+12mR23vRk^=m(xi^+Rj^)×vi^+12mR23vRk^=mvR(j^×i^)+32mvRk^=−mvRk^+32mvRk^=mvR2k^

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The angular momentum of the disc which spins with ω→=3vRk^ and its CM moves with a velocity v→=vi^ about O will be

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The angular momentum of the disc which spins with $\vec{ω} = \frac{3 v}{R} \hat{k}$ and its CM moves with a velocity $\vec{v} = v \hat{i}$ about O will be