As illustrated, two rigid steel beams $XY$ and $YZ$ have their lower ends fixed in position and are joined by a hinge at $Y$. Each beam is set at an angle of $50^\circ$ to the horizontal. A load of $4.0 \times 10^4\,\text{N}$ is suspended from $Y$. The system is in equilibrium. What force does each beam exert on the hinge at $Y$?
- A$2.6 \times 10^4\,\text{N}$
- B$3.1 \times 10^4\,\text{N}$
- C$5.2 \times 10^4\,\text{N}$
- D$6.2 \times 10^4\,\text{N}$