A box slides up an incline with an angle of elevation θ.When the box reaches its maximum distance up the incline it stops and does not slide down the incline due to friction.What is the minimum value of the coefficient of static friction for this to occur? A)μ_s = tanθ B)μ_s= sinθ C)μ_s= cosθ D)μ_s= 1

Question

Quizplus · Accepted Answer

The minimum value of the coefficient of static friction (μ) required to prevent the box from sliding down the incline is equal to the tangent of the angle of elevation (tanθ). This is because the force of static friction must equal the component of gravitational force parallel to the incline for the box to remain stationary, which is given by μ = tanθ.

A Box Slides Up an Incline with an Angle of Elevation