A uniform rod XY, with weight $10.0\,\text{N}$, is freely hinged at X to a wall. As shown, it is kept level by a force $F$ applied at Y at an angle of $30^\circ$ to the horizontal. What is the value of $F$?
- A$5.0\,\text{N}$
- B$8.7\,\text{N}$
- C$10.0\,\text{N}$
- D$20.0\,\text{N}$