Searme shows the crawler without differentials. But what do they do? I didn't really know much about differentials at first.
Lets say that the red and yellow gears are sun gears, the green is a planet, and the blue is a ring gear. If the ring gear first spins, the entire carrier, the blue part, spins, causing the 2 sun gears to spin in equal speed. But if there is resistance in the red sun gear, the green planet gear rotates and revolves. This allows the yellow sun gear to slow down, with an equal speeding up of the red sun gear.
(Sources for info: wikipedia.org (great site) and my brain.)
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