pure translational motion of a rigid body may be
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Velocity (also called linear velocity) and angular velocity are measured with respect to a frame of reference. ... Thus, it is the velocity of a reference point fixed to the body. During purely translational motion (motion with no rotation), all points on a rigid body move with the same velocity.
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In a rigid body, in translation the velocities and accelerations of each and every particle is the same. Hence, when we consider pure translation of rigid bodies we can assume them to be particles whose mass is concentrated at the centre of mass of rigid body with the same parameters of velocity and acceleration.
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