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Q.

A metal ring of mass m and radius R is placed on a smooth horizontal table and is set rotating about its own axis, such that ring moves with constant speed. The tension in the ring is mv2nπR. Then the value of n is ___ 

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answer is 2.

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Detailed Solution

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FC=2Tsinθ=2Tθ

( As θ is small sin θ=θ)

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Mass of element,dm=m2πRdl=m2πRR(2θ)

2Tθ=mθπV2RT=mV22πR

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