The coefficient of static friction between the tires of a car and the street is μ_s = 0.70.Of the following,what is the steepest inclination angle of a street on which a car can be parked (with wheels locked)without slipping? A)30° B)40° C)35° D)45° E)32°

Question

Quizplus · Accepted Answer

The maximum angle of inclination of the street without slipping can be calculated using the equation tan(θ) = μS, where μS is the coefficient of static friction. Rearranging the equation, we get θ = tan−1(μS). Substituting the given value of μS, we get θ = tan−1(0.70) ≈ 35°. Therefore, the steepest inclination angle of a street on which a car can be parked (with wheels locked) without slipping is approximately 35°. Option C) is the correct choice.

The Coefficient of Static Friction Between the Tires of a Car