The tires of a 1500 kilogram car are 0.600 meter in diameter and the coefficients of friction with the road surface are µs = 0.800 and µk = 0.600. Assume the car has a disk brake system. Each wheel is slowed by the frictional force between a single brake pad and the disk-shaped rotor. On this particular car, the brake pad comes into contact with the rotor at an average distance of 24 centimeter from the axis. The coefficients of friction between the brake pad and the disk are µs = 0.540 and µk = 0.450. Find the normal force that must be applied to the rotor such that the car slows as quickly as possible.
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