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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 rotation `x_(1)//(x_(2)` is.

A

2

B

1//2

C

`sqrt(2)`

D

`1//sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(2) kx_(1)^(2) = (1)/(2) I(2 omega)^(2) & (1)/(2) kx_(2)^(2) = (1)/(2) (2 I) omega^(2)`
:. `(x_(1))/(x_(2)) = sqrt(2)`.
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