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A spherical body of radius R rolls on a ...

A spherical body of radius `R` rolls on a horizontal surface with linear velociltly `v`. Let `L_(1)` and `L_(2)` be the magnitudes of angular momenta of the body about centre of mass and point of contact `P`. Then:

A

`L_(2)=2L_(1)`, if radius of gyration about centroidal axis K=R

B

`L_(2)=2L_(1)`, for all cases

C

`L_(2)lt2L_(1)`, if radius of gyration about centroidal axis `KltR`

D

`L_(2)lt2L_(1)`, if radius of gyration about centroidal axis `KgtR`

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The correct Answer is:
A, C
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