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Two discs A and B are mounted coaxially ...

Two discs `A` and `B` are mounted coaxially ona vertical axle. The discs have moments of inertia `l` and `2l` respectively about the common axis. Disc A is imparted an initial angular velocity `2 omega` using the centre potential energy of a spring compressed by a distance `x_(1)`. Disc `B` is imparted angular velocity `omega` by a spring having the same spring constant and compressed by a distance `x_(2)`. Both the disc rotate in the clockwise direction.
The loss of kinetic energy the above process is -

A

`(Iomega^(3))/2`

B

`(Iomega^(2))/3`

C

`(Iomega^(2))/4`

D

`(Iomega^(2))/6`

Text Solution

Verified by Experts

The correct Answer is:
B
`KE_(i)-KE_(f)`
`implies 1/2I(2omega)^(2)+1/22Iomega^(2)-1/23Iomega_(1)^(2)=1/3omega^(2)`
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