A solid sphere of radius R starts rotating on rough horizontal surface with translational velocity v0 and initial angular velocity . The sphere starts pure
rolling after some time t. Find the angle by which sphere rotates upto the instant at which pure rolling starts, if v is the translational velocity at pure rolling. Assume uniformly accelerated motion up to start of pure rolling.
Angular momentum is conserved about A.
where t is the time in which pure rolling starts.
Pure rolling starts when sphere rotates by an angle,