Question

A car rounds a curve that is banked inward. The radius of curvature of the road is R 140 m, the banking angle is 26e, and the coefficient of static minimum speed that the car can have without slipping. % m/s

A car rounds a curve that is banked inward. The radius of curvature of the road is R = 140 m, the banking angle is θ = 26°, and the coefficient of static friction is μs = 0.39. Find the minimum speed that the car can have without slipping.

Answer 1

The frictional force is, mv The forces acting on the car are, mv 7" sin θ|+mg sin θ mv - _ cos θ 7" cos θ--u g cos 7" 7" gCu cos θ + sin θ 7" 2--rg(μ cos θ + sin θ) 7'8 ( μ cose+sin θ Therefore, the minimum speed of the car is -( 140 m) (9.8 m/s. )((0.39)cos 26% sin 26") (0.39)sin 26 -cos 26° 1082.4115 m2 /s2 0.4384 v :: 38.57 m/s