368(4): Complete Solution of Gyro Dynamics

The complete solution is given in Eqs. (33) to (35) in terms of Euler angles. The first two equations are given by Marion and Thornton Section (10.10) but the third equation is completely new, and is based on UFT270. The dynamics can be graphed and animated in terms of the three Euler angles. The point of the gyro is the origin both of (X, Y, Z) and (1, 2, 3) and it never elevates simply because of F = mg. It can be elevated however by an applied force or by the ECE2 fluid force.

a368thpapernotes4.pdf


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