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Question

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
2 Vcm
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C
Vcm2
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D
2Vcm
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Solution

The correct option is B 2 Vcm
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=2 VCM

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