(Solution) - The tooth numbers for the automotive differential shown in the -(2025 Original AI-Free Solution)

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The tooth numbers for the automotive differential shown in the figure are N2 = 16, N3 = 48, N4 = 14, N5 = N6 = 20. The drive shaft turns at 900 rev/min.

(a) What are the wheel speeds if the car is traveling in a straight line on a good road surface?
(b) Suppose the right wheel is jacked up and the left wheel resting on a good road surface. What is the speed of the right wheel?
(c) Suppose, with a rear-wheel drive vehicle, the auto is parked with the right wheel resting on a wet icy surface. Does the answer to part (b) give you any hint as to what would happen if you started the car and attempted to driveon?