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S(1): Net torque on a system due to all ...

`S_(1)`: Net torque on a system due to all internal force about any point is zero.
`S_(2)`: For rigid body undergoing fixed axis rotation, the direction of its angular acceleration and angular velocity
`S_(3)`: if net torque on a rigid body about its centre of mass is zero, the angular speed of the rigid body is always zero.
`S_(4)`: For a rigid body undergoing fixed axis rotation abouts its centre of mass, then net torque on rigid body about any point is same.

A

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B

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C

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D

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Text Solution

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The correct Answer is:
D

`S_(1)`: The line of action of each action reaction pair is same. Therefore magnitude of couple of each such pair is zero. Hence net torque of all internal force is zero.
`S_(2)`: if net torque on a rigid body is zero, its angular velocity will be constant. the constant may necessary down.
`S_(3)`: If net torque on a rigid body is zero, its angular velocity will be constant. the constant may necessary not zero.
`S_(4)`: since the centre of mass is fixed, that is, at rest, hence net force on rigid body is zero. therefore torque on this rigid body any point is same.
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