An airplane standing on a runway is shown in the figure below. The airplane has a mass m = 15.5tonnes, and a mass moment of inertia

Io = 5.52 x 107 kg. m². Each of the landing gear can be assumed to be supported by a linear spring and with no damping. The values of the stiffness are k₁ = 10.9kN/m for the main landing gear and k₂ = 5.67kN/m for the nose landing gear. The distance between the two landing gears is / = 38m.