Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A rough plane is set at an angle of $\alpha^{\circ}$ to the horizontal. A particle with mass $0.25\,\text{kg}$ remains in equilibrium on the plane. The normal reaction on the particle has magnitude $2.4\,\text{N}$.
(i)[2]

Find the value of $\alpha$ for this situation.

(ii)[2]

Find the smallest possible value of the coefficient of friction.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “This gives $2.4 = 0.25g\cos\alpha$.” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI