Determine the principal coordinates for the system of Figure P6.1 and Chapter Problem 6.10. Write the differential

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Determine the principal coordinates for the system of Figure P6.1 and Chapter Problem 6.10. Write the differential equations which the principal coordinates satisfy.

Data From Chapter Problem 6.10:
Determine the natural frequencies of the system of Figure P6.1 if \(m=10 \mathrm{~kg}\) and \(k=1 \times 10^{5} \mathrm{~N} / \mathrm{m}\). Determine and graphically illustrate the mode shapes. Identify any nodes.

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