A stick of mass density ? per unit length rests on a circle of radius R (see

Question:

A stick of mass density ? per unit length rests on a circle of radius R (see Fig.). The stick makes an angle ? with the horizontal and is tangent to the circle at its upper end. Friction exists at all points of contact, and assume that it is large enough to keep the system at rest. Find the friction force between the ground and the circle.