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A round disc of moment of inertia I2 abo...

A round disc of moment of inertia `I_2` about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia `I_1` rotating with an angular velocity `omega` about the same axis. The final angular velocity of the combination of discs is.

A

`omega`

B

`(I_1omega)/(I_1+I_2)`

C

`((I_1+I_2)omega)/I_1`

D

`(I_2omega)/(I_1+I_2)`

Text Solution

Verified by Experts

The correct Answer is:
B

form conservation of angular momentum
`I_1omega=(I_1+I_2)omega'rArr omega'=(I_1omega)/(I_1+I_2)`
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