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A homogeneous rod of length 'L' is acted...

A homogeneous rod of length 'L' is acted upon by two forces `F_(1)` and `F_2` applied to its ends and directed opposite to each other. If `F_(2) gt F_(1)` then with what force 'F' will the rod be stretched at the cross-section at a distance 1 from the end where `F_(1)` is applied:

A

`((F_(2)-F_(1))l)/L`

B

`((F_(2)-F_(1))l)/L + F_(1)`

C

`((F_(2) + F_(1))l)/(2L)`

D

`((F_(2)^(2)-F_(1)^(2))l)/L`

Text Solution

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The correct Answer is:
B
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