OK, so, I've been arguing that the heaviest part of the tire will be furthest away from the rotational center.
If so, I'm pretty sure that anything with mass will go to the furthest point available from that rotational center.
And it's true, I've seen it happen.
There are a lot of formulae that explain this. I just don't happen to know them off the top of my head.
Please excuse my crappy animated gifs, I made them in a program I've never used before for this kinda crap.
OK, so we see the ball as the 'heavy' point.
The forks extend and compress as the wheel spins, rotational
and inertial (well, ok, rotational force, though it's just inertial force that's being redirected in a circular motion
) force translated to straight inertial force at the forks, with the heavy spot distended beyond the average radius.
Far as I know, everything in that wheel is motivated to travel to that spot. Centripetal, centrifugal, wtf ever.
However, I think I figured out what they are saying is actually happening, and I know it CAN happen, because I've seen it happen, too..
In this, we see that the wheel is rotating around the middle of the entire wheels
mass.
Enough of the lighter side has moved further away from the rotational center to offset the extra weight of it's opposite side, meaning that from a geometric center, it is not balanced, but from a mass center, it is.
Now, I know both of these happen. But, I don't know enough to be able to tell you
why one or the other happens in a given situation. I do know that the second is dependent upon rotational speed and amount of mass that is 'out' of balance. Speed up or slow down outside of that window and it goes to the first scenario up there.
My head is having a little trouble dealing with what would happen to the beads in this scenario, because I haven't had time to think about it yet, but soon as sort through 3 conflicting results I currently have, I'll post it or them.