For the semi-definite system shown in Fig.17.56, if (J_{1}=1.2 mathrm{~kg} cdot mathrm{m}^{2}, J_{2}=J_{3}=2 J_{1}, k_{11}=25 times 10^{3})

Question:

For the semi-definite system shown in Fig.17.56, if $J_{1}=1.2 \mathrm{~kg} \cdot \mathrm{m}^{2}, J_{2}=J_{3}=2 J_{1}, k_{11}=25 \times 10^{3}$ $\mathrm{N} \mathrm{m} / \mathrm{rad}$, and $k_{12}=2 k_{11}$, find the natural frequencies and relative amplitude of the principal modes.

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