Representation of data — practice question

A circular body is made from a uniform semicircular lamina weighing $12\text{ N}$ together with a uniform semicircular arc weighing $8\text{ N}$. Both the lamina and the arc have centre $O$ and radius $0.6\text{ m}$, and they are connected at the ends of their shared diameter $AB$. The body is freely suspended from a fixed point at $A$, with $AB$ set at $30^\circ$ to the vertical. It is in equilibrium and is subject to a horizontal force of size $F\text{ N}$ acting at the lowest point of the body, in the plane of the body.