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 I1, rotating with an angular velocity ωabout the same axis. The final angular velocity of the combination of discs is
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a
I2ωI1+I2
b
ω
c
I1ωI1+I2
d
I1+I2ωI1
answer is C.
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Detailed Solution
Applying the law of conservation of angular momentum, we get,I1ω1=I1+I2ω2 or I1ω=I1+I2ω2∴ω2=I1ωI1+I2