Is the polar moment of inertia a quantity used to predict an object's ability to resist torsion, in objects (or segments of objects) with an invariant circular cross-section and no significant warping or out-of-plane deformation. Is it used to calculate the twist of an object subjected to a torque. And is analogous to the area moment of inertia, which characterizes an object's ability to resist bending and is required to calculate displacement?

I think I understand what you mean , so that the mass of the wings comes into play damping out the vibration of the motor and deformation of the fuselage?