Determine the free-vibration response of the system of Chapter Problem 7.87 when \(E=200 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}, I=1.5 \times 10^{-6} \mathrm{~m}^{4}, L=0.8 \mathrm{~m}, k=1.5 \times 10^{5} \mathrm{~N} / \mathrm{m}\), \(c=250 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}, m_{1}=4 \mathrm{~kg}, m_{2}=6.1 \mathrm{~kg}\).

Data From Chapter Problem 7.87:

Figure P7.87 illustrates a three degree-of-freedom model of an aircraft. A rigid fuselage is attached to two thin flexible wings. An engine is attached to each wing, but the wings themselves are of negligible mass. Derive the differential equations governing the motion of the system.

Transcribed Image Text:

-L L m M m E, I E, I FIGURE P7.87 2 x3