A beam XY of uniform density has a length of $100\,\text{cm}$ and a weight of $4.0\,\text{N}$. This beam is supported on a pivot positioned $60\,\text{cm}$ from end X. An $8.0\,\text{N}$ load is suspended from the beam at a point $10\,\text{cm}$ from end X. A force $F$ acts on the beam $80\,\text{cm}$ from end X to keep it in balance. Calculate the magnitude of force $F$.
- A$8.0\,\text{N}$
- B$18\,\text{N}$
- C$22\,\text{N}$
- D$44\,\text{N}$