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:

`L_(2)=2L_(1)` if radius of gyration `K=R`

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

`L_(2)gt2L_(1)` if radius of gyration `K lt R`

`L_(2) gt 2L_(1)` if radius of gyration `K gt R`

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