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Questions  

A uniform disc of radius a and mass m is rotating freely with angular speed ω in a horizontal plane about a smooth fixed vertical axis through its centre. A particle of mass m is suddenly attached to the rim of the disc and rotates with it. The new angular speed is

a
ω6
b
ω3
c
ω2
d
ω5

detailed solution

Correct option is B

From the conservation of angular momentum,  Iω1=I2ω2⇒ ω2=I1I2ω1=12ma212ma2+ma2ω=ω3

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