![An aircraft wind tunnel model, having a pitch axis mass moment of inertia (Iyy) of 0.014 kg-m2 is mounted](https://www.gkseries.com/blog/wp-content/uploads/2023/09/An-aircraft-wind-tunnel-model-having-a-pitch-axis-mass-moment-of-inertia-Iyy-of-0.014-kg-m2-is-mounted-1-1.jpg)
Q. An aircraft wind tunnel model, having a pitch axis mass moment of inertia (Iyy) of 0.014 kg-m2, is mounted in such a manner that it has pure pitching motion about its centre of gravity, where it is supported through a frictionless hinge. If the pitching moment (M) derivative with respect to angle of attack (α), denoted by ‘Mα’, is -0.504 N-m/rad and the pitching moment (M) derivative with respect to pitch rate (q), denoted by ‘Mq’, is -0.0336 N-m/(rad/s), the damping ratio of the resulting motion due to an initial disturbance in pitch angle is approximately