JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A disc of radius is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point (shown at the side of the disc, level with the centre) is given by . What is the value of ?

Answer: 2

Solution

With constant (zero angular acceleration), every point's acceleration is purely centripetal, directed from the point toward the centre . The velocity of a rim point is perpendicular to the line joining it to the instantaneous centre (the contact

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Question ID VK-158852