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Q.

A homogeneous rod of length ‘L’ is acted upon by two forces F1 and F2 applied to its ends and directed opposite to each other. If F2 > F1, then with what force ‘F’ will the rod be stretched at the crossection  at a distance l from the end where F1 is applied

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a

(F2−F1)lL

b

(F2−F1)lL+F1

c

(F2+F1)l2L

d

(F22−F12)lL

answer is B.

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Detailed Solution

a=F2−F1m T−F1=mLℓ(F2−F1m) T=ℓL(F2−F1)+F1
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A homogeneous rod of length ‘L’ is acted upon by two forces F1 and F2 applied to its ends and directed opposite to each other. If F2 > F1, then with what force ‘F’ will the rod be stretched at the crossection  at a distance l from the end where F1 is applied