Representation of data — practice question

A non-uniform rod $AB$ with length $0.5\,\text{m}$ is joined by a free hinge at the fixed point $A$. The rod is balanced at an angle of $30^\circ$ to the horizontal, with $B$ lower than $A$. It is kept in equilibrium by a force of size $F\,\text{N}$ applied at $B$, acting at $45^\circ$ above the horizontal in the vertical plane containing $AB$. The force from the hinge on the rod is $10\,\text{N}$ and acts at an angle of $60^\circ$ above the horizontal (see diagram).