To reply to my own thread :):
The more I think about this, the less I think one can say about the family of transforms that I can perform. I can 'design' I_0 to be arbitrarily close to a projection onto a cartesian axis, I can make R any rotation I want... there is a lot of freedom.
About...
Hi everyone,
I was thinking about the relationship between angular velocity and angular momentum for a rigid body: I \omega = L. In particular, I'm trying to gain a little bit of intuition as to what transformations I can perform on \omega.
Let's use a reference frame at the center of mass...