Representation of data — practice question

A non-uniform rod $AB$ with length $0.5\,\text{m}$ and weight $8\,\text{N}$ is freely hinged at a fixed point at $A$. It is inclined at an angle of $30^{\circ}$ to the horizontal, with $B$ above the level of $A$. The rod is maintained in equilibrium by a force of magnitude $12\,\text{N}$, acting in the vertical plane containing the rod, at an angle of $30^{\circ}$ to $AB$ and applied at $B$ (see diagram).