A thin rod AB of length l, cross sectional area A and young's modulus Y is acted upon by three forces as shown in figure. Then total elongation produced in the rod is [C is the mid point of the rod]
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a
3FlAY
b
3Fl/2 AY
c
4Fl/AY
d
5Fl2AY
answer is B.
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Detailed Solution
Segment AC of the rod is under a tensile force of F and segment BC is under a tensile force of 2F. ∴ δ=δAC+δBC=Fl2AY+2Fl2AY=3Fl2AY