Differentials are one important but unnoticed components in the automobile. Many will just find a "big pot" sitting under their vehicle not knowing that it is really doing .

I like the parade analogy.

Like you have noted, a differential assembly permits difference in speed while allowing power to be transmitted to both wheels. If a vehicle is not equipped with a differential, the wheel would be forced to turn at the same speed (since they have to be linked to be powered by the transmission). This always result in the skidding of one of the wheels as it hesitates to move faster. Consequently, a poor vehicle handling results.

Well done sir!