JAMB Physics 2012 Question 12

Question 12

Friction

The diagram above shows a wooden block just about to slide down an inclined plane whose inclination to the horizontal is α. The coefficient of frictional force between the block and the plane is

Diagram for this question
  1. A.sin α
  2. B.tan α
  3. C.cot α
  4. D.cos α.
Show the answer and explanation

Answer: B (tan α)

Explanation

On the point of sliding, friction μmg cos α balances mg sin α, so μ = sin α/cos α = tan α.