The coefficient of static friction between the tires of a car and the street is m_s = 0.77.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)22.5 $\degree$ B)30 $\degree$ C)37 $\degree$ D)45 $\degree$

Question

Quizplus · Accepted Answer

The steepest inclination angle can be found using the formula:
tan θ = μs
where μs is the coefficient of static friction.
Substituting the given value of μs = 0.77, we get:
tan θ = 0.77
Taking inverse tangent on both sides, we get:
θ = tan⁻¹0.77
θ ≈ 37° (rounded to the nearest degree)
Therefore, the steepest inclination angle of a street on which a car can be parked without slipping is 37°, which is option C.

The Coefficient of Static Friction Between the Tires of a Car