The diagram represents a uniform rod, XY, which is freely hinged to a vertical wall at end Y. The rod makes an angle of $60^{\circ}$ with the wall. At end X, a force $F$ acts at an angle of $30^{\circ}$ to the rod. The rod weighs $3.0\ \text{N}$ and is in equilibrium. Determine the magnitude of force $F$?
- A$0.87\ \text{N}$
- B$1.5\ \text{N}$
- C$2.6\ \text{N}$
- D$5.2\ \text{N}$