A (400 mathrm{~kg}) machine is placed at the midspan of a 3-m-long, 200-kg simply supported beam. The
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A \(400 \mathrm{~kg}\) machine is placed at the midspan of a 3-m-long, 200-kg simply supported beam. The beam is made of a material of elastic modulus \(200 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}\) and has a cross-sectional moment of inertia of \(1.4 \times 10^{-5} \mathrm{~m}^{4}\). Use a three degree-offreedom model to approximate the system's lowest natural frequency.
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