1. The problem statement, all variables and given/known data A small body A is fixed to the inside 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 center of the hoop moves with velocity v0. At what values of v0 will the hoop move without bouncing? Ans : √(8gR) 2. Relevant equations 3. The attempt at a solution The center of mass is located at a distance R/2 from the center of the hoop.CM rotates in a circle of radius R/2 about the center of hoop. The forces acting on the system(hoop+mass A) are normal from the surface and weight 2mg. Applying ∑F = ma , N-2mg=2may ,where ay is the acceleration of the CM in vertical direction. The hoop will move without bouncing if normal force due to the surface is not zero. I am not able to make any progress .Please help me .