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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

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The correct Answer is:
c
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  • Two discs A and B are mounted coaxiallay on a vertical axle. The discs have moments of inertia I and 2 I respectively about the common axis. Disc A is imparted an initial angular velocity 2 omega 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 ratio x_1//x_2 is

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    `(1)/(2)`
    C
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    D
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  • 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 -

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