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Q.

A uniform slender rod of length L, cross-sectional area A and young's modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

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a

$\frac{2FL}{5AY}$

b

$\frac{3FL}{8AY}$

c

$\frac{8FL}{3AY}$

d

$\frac{3FL}{5AY}$

answer is D.

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Detailed Solution

$Δ l_{1} = \frac{(3 F) \frac{2 l}{3}}{A Y}$ , $Δ l_{2} = \frac{(2 F) \frac{l}{3}}{A Y}$

$Δ l = \frac{8 F l}{3 A Y}$

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