A rod hanging vertically is pulled with a force F, causing it to elongate. However, the volume of the rod remains unchanged. If the Poisson's ratio of the material is 1/m, find m.

Correct answer: 2

Solution

For a rod with circular cross-section, constant volume under axial strain requires the lateral strain to be exactly half the axial strain, giving Poisson's ratio = 1/2, so m = 2.

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