Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

A body of mass 4 kg rests on a rough horizontal surface. The coefficient of friction between the body and the surface is 0.15. If the surface is gradually tilted, calculate the angle of inclination of the surface to the horizontal when the body just begins to slide down the surface.
Options
A 8.6°
Correct Answer
B 81.4°
C 8.5°
D 30.0°
Correct Answer

Option A is the correct answer.

Detailed Explanation

At the point of sliding, tan θ = μ = 0.15. θ = tan⁻¹(0.15) = 8.53° ≈ 8.5° or 8.6°.

Hint

Angle of repose: tan θ = μ.

Question Info