Calculate the natural frequency of a shaft of diameter (100 mathrm{~mm}) and length (3 mathrm{~m}) carrying two

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Calculate the natural frequency of a shaft of diameter \(100 \mathrm{~mm}\) and length \(3 \mathrm{~m}\) carrying two discs of diameters \(1.25 \mathrm{~m}\) and \(2 \mathrm{~m}\) at its ends and weighing \(500 \mathrm{~N}\) and \(900 \mathrm{~N}\) respectively. For the shaft, \(G=84 \mathrm{GPa}\).

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