First slide
Friction on horizontal surface
Question

In a car the engine supplies power to front wheels only and brakes are applied to all four wheels. The front wheels support 3/5 of car’s weight on road. If the coefficients of static and kinetic frictions between tyres and road are 0.6 and 0.4 respectively, the maximum rate at which the velocity can change with respect to time is (in m/s2)

      

Moderate
Solution

For maximum acceleration static friction for front wheels only is to be taken since the power is applied to only the front wheels. For maximum deceleration, kinetic friction for all four wheels needs to be taken

F = μSmgma = 0.6 35mg  

then a = 3.6 m/s2

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