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. When disc `B` is brought in contact with disc `A`, they acquirea common angularvelocity in time `t`. The average frictional torque on one disc by the other during this period is -
A
`(2 I omega)/(3t)`
B
`(9 I omega)/(2t)`
C
`(9 I omega)/(4t)`
D
`(3Iomega)/(2t)`
Text Solution
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The correct Answer is:
A
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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 rotation x_(1)//(x_(2) is.
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
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
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 -
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
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