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.

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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.
$T = (L - x) \frac{W}{L}$ .

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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.

The correct option is D 4Consider 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.

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.
$T = (L - x) \frac{W}{L}$ .