A rigid uniform bar XZ with negligible mass has a length of 1.20 m. The bar is mounted on a pivot at point P. As shown, three coplanar forces act on the bar. Forces of $16\,\text{N}$ and $20\,\text{N}$ are applied perpendicularly to the bar at points X and Y respectively. Force $F$ is applied at point Z at an angle of $30^\circ$ to the axis of the bar. The positions of the pivot and the forces along the bar are shown. The bar has a resultant moment about P of $6.0\,\text{N m}$ clockwise. What is the magnitude of $F$?
- A$9.2\,\text{N}$
- B$11\,\text{N}$
- C$16\,\text{N}$
- D$24\,\text{N}$