The front brake pads on your car wear out faster than the rearbreak pads; in fac

Question

The front brake pads on your car wear out faster than the rearbreak pads; in fact, some cars are specifically designed with largefront brake pads because of this. This results from the factthat when a car is braking the magnitude of the friction forceacting on the front wheels of the car is larger than the magnitudeof the friction force acting on the rear wheels of the car. Consider a car that has a mass of 1500 kg that is decelerating (byusing breaks) at a rate of 0.25g. The distance between thefront and rear axles is 2.8 m and the center of mass of the car isdirectly in-between the two axles at a height of 0.6m above theground. What is the ratio of the force of friction acting onteh front tires to the force of friction acting on the reartires? Assume that the coefficients of friction between thetires and the road are the same for all tires and, for simplicity,assume that the car is skiiding as it decelerates.

Explanation / Answer

http://www.centricparts.com/files/Centric%20White%20Paper%20A1-The%20Physics%20of%20Braking%20Systems.pdf
WT = (a/g) * (h/WB) * Vt
WT = weight transferred from back tire to front tire a = deceleration rate of car g = gravity h = hight of center of gravity WB = length of wheel base Vt = total weight of car
Solve for stationary normal force for front and backtires
Next apply WT to values and develop the ratio

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