Determine the principal coordinates for the system of Figure P6.3 and Chapter Problem 6.12. Write the differential equations which the principal coordinates satisfy.

Data From Chapter Problem 6.12:
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 \(k=10 \mathrm{~N} / \mathrm{m}\).

Transcribed Image Text:

k 1 m k FIGURE P6.3 2r m Fosincot