The diagram represents a uniform bar with length $120\ \text{cm}$ and weight $W$. The bar is supported on a pivot located $40\ \text{cm}$ from the left end of the bar. A load equal to $\frac{W}{2}$ hangs from the right-hand end of the bar. A downward force $F$ is exerted at the left-hand end of the bar so that it remains in equilibrium. What is the magnitude of force $F$?
- A$\frac{W}{2}$
- B$W$
- C$\frac{3W}{2}$
- D$2W$