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Young's Modulus of Elasticity

A uniform sle...

Question

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

\frac{3 F L}{5 A Y}

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\frac{2 F L}{5 A Y}

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\frac{3 F L}{8 A Y}

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\frac{8 F L}{3 A Y}

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Solution

The correct option is D $\frac{8 F L}{3 A Y}$

Net elongation of the rod is
$l = \frac{3 F (\frac{2 L}{3})}{A Y} + \frac{2 F (\frac{L}{3})}{A Y}$

$l = \frac{8 F L}{3 A Y}$

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