A uniform heavy rod of weight W, cross-sectional area A and length L is hanging from a fixed support. Young modulus of the material of the rod is Y. Neglect the lateral contraction. Find the elongation of the rod.
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is D 4 Consider a small length dx of the rod at a distance x from the fixed end. The part below this small element has length L - x. The tension T of the rod at the element equals the weight of the rod below it. T=(L−x)WL.