A large number of sticks (with mass density ? per unit length) and circles (with radius R)

Question:

A large number of sticks (with mass density ? per unit length) and circles (with radius R) lean on each other, as shown in Fig. Each stick makes an angle ? with the horizontal and is tangent to a circle at its upper end. The sticks are hinged to the ground, and every other surface is frictionless (unlike in the previous problem). In the limit of a very large number of sticks and circles, what is the normal force between a stick and the circle it rests on, very far to the right? (Assume that the last circle leans against a wall, to keep it from moving.)