Determine the principal coordinates for the system of Figure P6.8 if it had no damping. Write the
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Determine the principal coordinates for the system of Figure P6.8 if it had no damping. Write the differential equations which the principal coordinates satisfy. Use \(I=0.03 \mathrm{~kg} \cdot \mathrm{m}^{2}, m=3 \mathrm{~kg}, a=0.03 \mathrm{~m}, b=0.3 \mathrm{~m}\) and \(k=3000 \mathrm{~N} / \mathrm{m}\).
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