$A$ rod of length $L$ and mass $M$ is acted on by two unequal forces $F_1$ and $F_2$ $(F_2 < F_1)$ as shown in the figure. The tension in the rod at a distance $y$ from the end $A$ is given by:

• A
  ${F_1}\left( {1 - \frac{y}{L}} \right) + {F_2}\left( {\frac{y}{L}} \right)$
• B
  ${F_2}\left( {1 - \frac{y}{L}} \right) + {F_1}\left( {\frac{y}{L}} \right)$
• C
  $\left( {{F_1} - {F_2}} \right)\frac{y}{L}$
• D
  None of these