A small body A is fixed to the inner side of a thin rigid hoop of radius R and mass equal to that of the body A. The hoop rolls without slipping over a horizontal plane. At the moments when the body A gets into the lower position, the centre of the hoop moves with velocity $$V_{o}$$ . The maximum value of $$V_{o}$$ at which the hoop moves without bouncing is $$\sqrt{xgR}$$. What is the value of $$'x'$$?