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Two discs A and B are mounted coaxiallay...

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

A

2

B

`(1)/(2)`

C

`sqrt(2)`

D

`(1)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`sqrt(2)`
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Knowledge Check

  • 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 loss of kinetic energy in the above process is

    A
    `( I omega^2)/(2)`
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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. When disc B is brought in contact with disc A, they acquire a common angular velocity in time t. The average frictional torque on one disc by the other during this period is

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    A
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