Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

The diagram depicts a ring of mass $2\,\text{kg}$ threaded onto a fixed rough vertical rod. A light string is fastened to the ring and is pulled upwards at an angle of $30^\circ$ to the horizontal. The tension in the string is $T\,\text{N}$. The coefficient of friction between the ring and the rod is $0.24$. Find
(main)[8]

the two values of $T$ at which the ring is in limiting equilibrium.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Horizontal force resolution gives $R=T\cos30$

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