A uniform rope of mass (m) and length (L) placed on frictionless horizontal ground is being pulled by two forces `F_(A) and F_(B)` at its ends as shown in the figure. As a result, the rope accelerates toward the right.

Expression `T_(x)` of tension at a point at distance x from the end A is

Options

A. `T_(x)=((F_(B)-F_(A))/(L))x+F_(A)`
B. `T_(x)=((F_(B)-F_(A))/(L))x-F_(A)`
C. `T_(x)=((F_(B)-F_(A))/(L))x+F_(B)`
D. `T_(x)=((F_(B)-F_(A))/(L))x-F_(B)`

Answer

A