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Two discs of moments of inertia I1 and I...

Two discs of moments of inertia `I_1` and `I_2` about their respective axes normal to the disc and passing through the centre and rotating with angular speeds `omega_1` and `omega_2` are brought into contact face to face with their axes of rotation coinciding. Then the angular speed of the two disc system is

A

`(I_1+I_2)/(I_1 omega_1+I_2omega_2)`

B

`(I_1+I_2)/(I_1omega_1-I_2omega_2)`

C

`(I_1omega_1+I_2omega_2)/(I_1+I_2)`

D

`(I_1-I_2)/(I_1omega_1+I_2omega_2)`

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