Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle $P$ with mass $2.1\,\text{kg}$ is connected to one end of each of two light inextensible strings. Their other ends are fixed to points A and B, which lie on the same horizontal line. $P$ is suspended in equilibrium $40\,\text{cm}$ beneath the level of A and B, and the strings $PA$ and $PB$ are $50\,\text{cm}$ and $104\,\text{cm}$ long respectively (see diagram).
(main)[5]

Show that the tension in the string $PA$ is $20\,\text{N}$, and determine the tension in the string $PB$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces acting on $P$ horizontally or vertically

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