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A circular disc of mass m is revolving with angular velocity ω along a line passing perpendicular to its centre. When a mass m is gently attached to the revolving disc, then what will be new angular velocity

a
ω3
b
ω/2
c
4ω/5
d
ω/3

detailed solution

Correct option is D

For circular disc,I=12MR2∴ L=Iω=12mR2ωWhen a mass m is attached to the disc, thenL′=12mR2+mR2ω′=32mR2ω′An angular momentum is conservedL=L′∴ 12mR2ω=32mR2ω'  or  ω,=ω3

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