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Question

A disc of mass m and radius R is rolling without slipping on a horizontal, fixed rough surface with translational velocity v as shown in the figure. Here, LO and LP represent the angular momentum about point O and P respectively. Which of the following is/are true?

A
LO=32mvR(^k)
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B
Lp=12mvR(^k)
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C
LO=32mvR(^k)
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D
Lp=mvR(^k)
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Solution

The correct options are
A LO=32mvR(^k)
D Lp=mvR(^k)
Lany point =Lof CM about that point+Labout CM
LO=mvR(^k)+Iω(^k)=mvR^k12(mR2)(v/R)^k=mvR^k12mvR^k=32mvR^k
Lp=mvR2^kIω^k=mvR2^k12mvR^k=mvR^k

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