The Ring and the Bead

Micky watches Michael playing a game with a ring and a bead. The circular ring has a radius $R$ m while the smaller circular bead has a radius $r$ m. Michael initially places the bead inside the ring, touching its surface and making an angle of $0$° with the vertical.(as shown) The bead is given a velocity of $V$ m/s at the center in counter-clockwise direction and it starts revolving along the