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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

`(I_(2) omega)/(I_(1) + I_(2))`

B

`omega`

C

`(I_(1) omega)/(I_(1) + I_(2))`

D

`((I_(1) + I_(2))omega)/(I_(1))`

Text Solution

Verified by Experts

The correct Answer is:
C
`I_(1) omega= (I_(1) + I_(2)) omega_(2)`
`rArr omega_(2)= (I_(1) omega)/(I_(1) + I_(2))`
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