5. 16 Calculate the maximum deceleration of a car that is heading down a 8 Calcu

Question

5. 16

Calculate the maximum deceleration of a car that is heading down a 8

Calculate the maximum deceleration of a car that is heading down a 8degree slope (one that makes an angle of 8degree with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the static coefficient of friction is involved--that is, the tires are not allowed to slip during the deceleration. on dry concrete on wet concrete on ice, assuming that mus = 0.100, the same as for shoes on ice

Explanation / Answer

the angle is theta = 8o

the coefficient of friction is u = tan(theta)

the deceleration on dry concrete is

a = u x g

where g = 9.8 m/s^2

the deceleration on wet concrete is

a1 = u_s x g

where u_s is coefficient of static friction on wet concrete

on ice is

a2 = u_s x g

where u_s is coefficient of static friction on ice

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