As shown in figure, a ring of radius R is rolling without slipping. What will be the magnitude of velocity of point A on the ring ?
A
Vcm
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B
√2Vcm
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C
Vcm2
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D
2Vcm
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Solution
The correct option is B√2Vcm Condition for pure rolling (rolling without slipping), VCM=ωR...(i) VCM= speed of COM of the ring
Velocity of point A will be, −→VA=→VCM+→VA,CM...(ii)
where →VA,CM, represents velocity of A w.r.t centre of ring. |→VA,CM|=ωR
From the figure shown, |−→VA|=√V2CM+(ωR)2
Substituting from Eq (i) ∴|−→VA|=√V2CM+V2CM=√2VCM