Consider a cylindrical rod with a diameter of \(10 \mathrm{~mm}\) and a length of \(100 \mathrm{~mm}\). One is end is fixed and the other is free. A \(500 \mathrm{~N}\) axial load is applied at the free end. See Fig. P9.1. Determine the aluminum rod's change in length \((\mu \mathrm{m})\) if its elastic modulus is \(70 \mathrm{GPa}\).

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Fig. P9.1 Aluminum rod with 500 N axial force 100 mm 500 N 10 mm diameter