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Two discs A and B are mounted coaxially ...

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

A

`(I omega^(2))/2`

B

`(I omega^(2))/3`

C

`(I omega^(2))/4`

D

`(I omega^(2))/6`

Text Solution

Verified by Experts

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