A rigid body is in pure rotation, that i...

A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?

You can find two points in the body in a plane perpendicular to the axis of rotation having same velocity.

You can find two points in the body in a plane perpendicular to the axis of rotation having same acceleration.

Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.

Angular speed of the body is same as seen from any point in the body.

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The correct Answer is:

C, D

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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.

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zero

`(2pi nI)/(60t)`

`(2sqrt(2)pi nI)/(60t)`

`(4pi n I)/(60t)`

`omega prop (1)/(r )`

`omega prop v`

`v prop r`

`omega` is indepenedent of `r`