A uniform rod of length $L$ has a mass per unit length $\lambda$ and area of cross-section $A$. If the Young's modulus of the rod is $Y$. Then elongation in the rod due to its own weight is ...........
Medium
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(b)
Total mass can be assumed to be concentrated at center of mass at distance $\frac{L}{2}$ from top
$\frac{M}{L}=\lambda$
$M=\lambda L$
$\Delta x=\frac{F L / 2}{A Y}=\frac{1}{2} \times \frac{\lambda L^2 g}{A Y}$
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