X3 ew from Let s now see what our symmetric top looks like

Last updated: 6/14/2023

X3 ew from Let s now see what our symmetric top looks like from a fixed frame Euler s equations won t help much here because they deal with the components of w in the body frame But fortunately we can solve for the motion from scratch In terms of the changing principal axes 1 2 3 we have W W x1 W 2 W3x3 L I x1 2x2 13w3x3 Eliminating the w1x1 2x2 term from these equations gives in terms of the 2 defined in Eq 9 47 L 1 2x3 s L Nx3 where L L and is the unit vector in the L direction The linear relationship 9 52 LA 9 53