on a horizontal plane. At some instant, it has translational velocity and rotational velocity about the centre O, . Then, the rotational velocity of the ball after it starts rolling perfectly is given by-
A spherical ball of mass M and radius R
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*The ball is slipping, so take frictional force and frictional torque into account. *Make two equations, one for translational or linear motion of the ball and the other for the rolling motion. *After the ball starts pure rolling, V = Rω and A = Rα. *Cancel 'time' from your equations. *Finally, write final linear velocity and final angular velocity in terms of v 0