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A uniform rope of mass (m) and length (L...

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

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)`

Text Solution

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The correct Answer is:
A
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