Right, your butt is attached to the bike and your travelling along the in the same direction it is.
Your tires, however are spinning, and anything inside them light enough to "stick" to the inner circumference is spinning along with them, travelling forward in an up and down WAVEFORM, instead of straight ahead in a line as you are...
The beads inside the tire rest on the bottom, the tire moves forward as you take off, the beads DO NOT, until they hit the friction of the back inner wall of the tire that just moved forward and smacked them. The back of your seat, for instance does the same thing, put armor all on it real slick, then hit the gas hard with a curb ten feet in front of you.
Your butt bead will slide backwards on the seat, while the seat travels forward (like the tire and beads) - then your butt will hit the curve of the back of the seat as it comes forward (like the beads getting hit by the moving forward wall of the back of the inside of the tire. Then when your bike hits the curb, the back of the seat rises upward and moves forward, like the back of the spinning tire, and you are caught in a looping forward motion, just like the beads....
Things change from there for you and the beads, unless you manage to loop your bike end over end a few times.
So, the point is the beads remain at rest like your butt on a slick seat that moves forward when you hit the gas.
In a static balancer in a shop, it would be like spinning your bike 360 when you're sitting in it. You would have much less tencency to slip toward the back of the seat before being hooked into the roll over. In fact, the gas tank would wail you in the crotch as the spinning began.