First slide
Rolling motion
Question

A solid sphere of mass M and radius r slips on a rough horizontal plane. At some instant it has translational velocity v0 and rotational velocity about the centre v0/2r . The translational velocity after the sphere starts pure rolling

Moderate
Solution

Angular momentum can be conserved about lowest point.
mv0r+25mr2v02r=mv'r+25mr2v'r10mv0r+2Mv0r10=7mv'r5v'=6v07

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