1. The problem statement, all variables and given/known data In the figure below two point mass m, over the ring with mass M and radius R, are released from the rest in the highest point and there is no friction in the system. What is the maximum amount of m/M for which the ring doesn't leave the surface? View attachment untitled1.bmp 2. Relevant equations According to the figure below [itex] mg cos\theta-N=mv^2/R [/itex] From conservation of energy we get [itex] v^2 =2gR(1-cos\theta) [/itex] View attachment untitled.bmp 3. The attempt at a solution In my attempt, I get N as [itex] N=mg(3cos\theta -2) [/itex] Then I thing when the ring is in the threshold of leaving we should have [itex] 2Ncos\theta =Mg [/itex] But I can nor get the correct answer! Could anyone please help me?