Determine the principal coordinates for the system of Figure P6.4 and Chapter Problem 6.13. Write the differential equations which the principal coordinates satisfy.

Data From Chapter Problem 6.13:

Determine the natural frequencies of the system of Figure P 6.4 if \(I_{1}=0.3 \mathrm{~kg} \cdot \mathrm{m}^{2}\), \(I_{2}=0.4 \mathrm{~kg} \cdot \mathrm{m}^{2}, J_{1}=J_{2}=1.6 \times 10^{-8} \mathrm{~m}^{4}, G_{1}=G_{2}=80 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}\), and \(L=30 \mathrm{~cm}\).

Transcribed Image Text:

+ J, G J, G -L 3L FIGURE P6.4