First slide

Elastic Modulie

Question

A block of mass M is suspended from a wire of length L area of cross section A and young’s modulus Y. The elastic potential energy stored in the wire is

Moderate

A

$\frac{M^{2} g^{2} L}{2 A Y}$
B

$\frac{M g}{2 A L Y}$
C

$\frac{M^{2} g^{2} L}{A Y}$
D

$\frac{M g L}{2 A Y}$

Solution

$e l a t i c e n e r g y = \frac{1}{2} {(s t r e s s)}^{2} \frac{1}{Y} x v o l u m e \frac{1}{2} {(\frac{M g}{A})}^{2} \frac{1}{Y} x A L$

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