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The car is moving up on the 12o inclined road with horizontal at 36 km/h which is having wheelbase 1.4 m. The C.G. of the car is 0.9 m above the road. The coefficient of friction is 0.7. What is the retardation of the car if the brakes are applied to all the four wheels?(a) 8.75 m/s^2(b) 8.81 m/s^2(c) 7.71 m/s^2(d) 6.81 m/s^2This question was posed to me in an international level competition.I would like to ask this question from Braking System topic in section Braking System of Automobile Engineering

Answer»

Right CHOICE is (a) 8.75 m/s^2

Easy explanation: α is the INCLINATION ANGLE in degree = 12°, μ is the coefficient of FRICTION = 0.7. When the vehicle is moving up on the INCLINED road and brakes are applied to all four wheels than the retardation a = g*(μ*cosα + sinα) = 9.81*(0.7*cos12° + sin12°) = 8.75 m/s^2.



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