In Section 8 6 2, we showed that for a free symmetric top, the angular momentum L, the angular velocity , and the symmetry axis x 3 all lie in a plane Let be the angle between x 3 and L, and let be the angle between x 3 and (see Fig ) Find the relationship between and in terms of the principal mome...

In terms of the principal axes x1x2X3 we have Wx1 x W3 ...

In Section 8.6.2, we showed that for a free symmetric top, the angular momentum L, the angular

Question:

In Section 8.6.2, we showed that for a free symmetric top, the angular momentum L, the angular velocity ω, and the symmetry axis x₃ all lie in a plane. Let α be the angle between x₃ and L, and let β be the angle between x₃ and ω (see Fig.). Find the relationship between α and β in terms of the principal moments, I and I₃.