Determine the natural frequencies of the system of Figure P6.3 if (m=30 mathrm{~g}), (I_{1}=8 times 10^{-6} mathrm{~kg}
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Determine the natural frequencies of the system of Figure P6.3 if \(m=30 \mathrm{~g}\), \(I_{1}=8 \times 10^{-6} \mathrm{~kg} \cdot \mathrm{m}^{2}, I_{2}=2 \times 10^{-5} \mathrm{~kg} \cdot \mathrm{m}^{2}, r=5 \mathrm{~mm}\), and \(k=10 \mathrm{~N} / \mathrm{m}\). Determine the modal fraction for each mode.
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