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I enter the frey. With a mental description (fun I hope) Imagine the capital letter T. Put a pivot point at the place where the top intersects the vertical part, so the top coule move like a teeter-totter. lay it down flat (in your mind) on a table.
Now if you pulled the T along with the vertical part as the handle the top would also be pulled along. if we put a small fishing wt on each side of the top, all the way out to the end, there would be equal drag on each side, and the top would remain perpendicular to the "tongue" because the amount of drag on each side is equal. Now if the T was pulled through a bit of a waxed spon on the table with only one side of the top of the T passing through it, the top would pivot and the easy to slide end would go fast, and the other side would stop. That is what happens inside the differential. Though the T is composed of a set of spider gears abd side gears, it is effectively identical. If the rear end of most tractors and cars is lifted off the ground, one tire can be turned forward, and the other will turn the opposite rearward (unless they have a differential lock, or "positraction" or some other system). Equal amounts of force are applied to both.
When one of the brakes is applied, the brake force just drags the slipping side back so that the opposite tire gets more force. JimN
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