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Q.

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

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a

ω3

b

ω/2

c

4ω/5

d

ω/3

answer is D.

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Detailed Solution

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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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