Let the object make an angle of with vertical moving with velocity V Forces acting on the body are weight Mg and Normal force N Forming equations~ Mgcos - N =Mv2/R By energy conservation ~ (1/2)Mv2=MgR(1-cos)
When body leaves circle, N = 0. Put N= 0 in 1st equation and solve wih 2nd equation. you get cos=2/3