Determine the principal coordinates for the system of Figure P6.2 and Chapter Problem 6.11. Write the differential

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Determine the principal coordinates for the system of Figure P6.2 and Chapter Problem 6.11. Write the differential equations which the principal coordinates satisfy.

Data From Chapter Problem 6.1:

Determine the natural frequencies of the system of Figure P6.2 if \(m=2 \mathrm{~kg}\), \(L=1 \mathrm{~m}\) and \(k=1000 \mathrm{~N} / \mathrm{m}\). Determine the modal fractions for each mode.

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