Physics · JEE | SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Consider the following statements regarding the motion of a rigid body: (A) The motion of a rigid body which is not pivoted or fixed in some way is either pure translation or a combination of translation and rotation. (B) In pure translational motion at any instant of time, all particles of the body have different velocities. (C) In rotation of a rigid body about a fixed axis, every particle of the body moves in a circle whose centre lies on the axis. (D) For any particle on the fixed axis of rotation, the perpendicular distance \( r = 0 \) and it remains stationary. Which of the above statements are correct?

1. A
   (A), (C) and (D) only
2. B
   (A) and (B) only
3. C
   (B), (C) and (D) only
4. D
   (A), (B), (C) and (D)