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Questions  

A cotton reel rolls without sliding such that the point P of the string has velocity v = 6 m/s. If r = 10 cm and R = 20 cm, then the velocity of its centre C is

 

a
2.5m/s
b
5m/s
c
4m/s
d
2m/s

detailed solution

Correct option is C

As cotton reel rolls point of contact  of reel with ground will act as instantaneous axis of rotation.vp=ω(R+r)⇒ ω=vpR+r=20rad/sVelocity of centre of reelvC=ωR=vpR(R+r)=6×20(20+10)=4m/s

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