A bar of uniform density, with length $L$ and weight $W$, is placed horizontally on two supports, $X$ and $Y$. At a point $ rac{L}{6}$ from one end of the bar, support $X$ provides an upward force $R_X$. At the opposite end of the bar, support $Y$ provides an upward force $R_Y$. The bar is balanced in equilibrium. Determine the ratio $\frac{R_X}{R_Y}$?
- A$\frac{3}{2}$
- B$\frac{2}{3}$
- C$\frac{3}{5}$
- D$\frac{2}{5}$