A Bead having a mass 10g can slide devoid of friction on a circular motion mass less hoop which is in a vertical plane and has a radius of 5 cm. The hoop rotates at constant rate of 4rev/s around a vertical diameter. Evaluate:
(i) The distance from bead to the axis of rotation in vertical equilibrium.
(ii) The magnitude-direction of the acceleration of bead.
(iii) What work must be done by friction in order to stop the hoop?