Question Detail

PHY 101 Friction Objective Question

Question

A block is sitting on an inclined plane. The angle of the incline is slowly increased. At a specific angle θ, the block just begins to slide. This angle θ is related to which quantity?
Options
A The mass of the block
B The coefficient of kinetic friction μ_k
C The coefficient of static friction μ_s
Correct Answer
D The area of contact
Correct Answer

Option C is the correct answer.

Detailed Explanation

The angle at which sliding just begins is the angle of repose. At this point, the component of weight down the plane (mg sin θ) equals the maximum static friction (μ_s mg cos θ). Solving gives tan θ = μ_s.

Hint

At the point of slipping, static friction is at its maximum.

Question Info