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They work because the tire is rotating around its *center of mass*. If the tire has a heavy spot, the center of mass is going to be offset towards it, Meaning even though the heavy spot itself wants to be flung outward from a static reference frame, from the rotating reference frame of the tire, the heavy spot is actually staying closer to the center and the light spot is being flung outwards the farthest. The beads, which are free to move and not a connected to the tire at all only move via centripetal force of the tire trying to pull them back to the center, and they'll collect in the high spot which is the light spot.
Hot thought for this morning. All governments are mafia-like organizations. They project a facade of serving the people, but behind the scenes they are all busy stuffing their pockets with cash. If you are a member of the ruling cabal, you've got it made. If you're not, you're screwed.
That's the way it is all over the world no matter whether the government is a democracy, a republic, an oligarchy or a dictatorship. The problem is not the form the government takes, but whether it is competent at taking care of the things governments are supposed to take care of, like ensuring that the food supply, the infrastructure and the military are all up to snuff.
If the government is incompetent we get the mess we're in right now.