A 600-kg car traveling at 24.5 m/s is going around a curve having a radius of 120 m that is banked at an angle of 20. (a) is the curve properly banked for the car's speed? (b) what is the minimum coefficient of static friction required between the road and the car's tires so the car does not skid?
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According to the problem the weight of the car is 600 kh
speed is u= 24.5 m/s
the radius of the curve,r = 120 m
Therefore the acceleration = u^2 / r = 24.5^2 / 120 = 5.0 m/s
Therefore force = mass x acceleration
= 600 * 5 = 3000 N
The forces to stop the car from skid
f1 = COS 20 * 3000 N + SIN 20 * 6000 N
= 2819 + 2052
= 4871 N
f2 = SIN 20 * 3000 N + COS 20 * 6000 N
= 1026 + 5638
= 6664 N
The coefficient friction will be = 4871 / 6664 = .73
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