A sphere of mass `M` rolls without slipping on rough surface with centre of mass has constant speed `v_0`. If mass of the sphere is `m` and its radius be R`, then the angular momentum of the sphere about the point of contact is.
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Since `vecL_(P)=vecL_(cm)+vecrxxvecp_(cm)` `=I_(cm)omega_(0)(-hatk)+Mv_(0)R(-hatk)` Since sphere is in pure rolling motion hence `omega=(v_(0))/R` `rarr vecL_(P)=[2/5MR^(2)((v_(0))/R)+Mv-0R(-hatk)]=7/5Mv_(0)R(-hatk)`
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