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Question

A round disc of moment of inertia I2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I2 rotating with an angular velocity ω about the same axis. The final angular velocity of the combination of disc is :-

A
ω
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B
I1ωI1+I2
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C
(I1+I2)ωI1
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D
I2ωI1+I2
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Solution

The correct option is A ω
Conservation of angular momentum
I1ω=(I1+I2)ωf
ωf=I1ωI1+I2

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