JEE Advanced 2015 Paper 1

A ring of mass M and radius R is rotating with angular speed ω about a fixed vertical axis is passing through its center O with tow points masses each of mass

M

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at rest at O.These masses can moves radially outwards along two massless rods fixed on the rings as shown in figure.At some instant the angular speed of the system is

8

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ω and one of the masses is at distance of

3

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R from O.At this instant the distance of the other mass from O is .