1. The problem statement, all variables and given/known data A hemispherical bowl of mass m and radius R is placed on a rough horizontal surface. Initially the centre C of the bowl is vertically above the point of contact with the ground(see figure). Now the bowl is released from rest. Find the normal force acting on the hemisphere initially if the coefficient of static friction is 1/2 of that required to prevent initial slipping of the bowl. 2. Relevant equations a =R(w), w= angular acceleration Centre of mass of hollow hemisphere = R/2 distance from centre Max = nN (n = coeff. Of friction) Mg - N = May MgR/2 = 5/3MR^2 (w) ...Torque about lowermost pt w = 3g/10R 3. The attempt at a solution I already figured out the minimum coefficient of friction for no slipping to be 6/17. This matches with the solution. But I am unable to find the normal force corresponding to half of this value(3/17). I have 2 equations relating horizontal and vertical accelerations of the CM to N and Mg (above) but this is not enough as I need another to eliminate variables.