Representation of data — practice question

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