Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle $P$ with weight $21\,\text{N}$ is connected to one end of each of two light inextensible strings, $S_1$ and $S_2$, whose lengths are $0.52\,\text{m}$ and $0.25\,\text{m}$ respectively. The opposite end of $S_1$ is fixed at point A, and the opposite end of $S_2$ is fixed at point B, which lies at the same horizontal level as A. Particle P is in equilibrium, hanging $0.2\,\text{m}$ below the level of $AB$, with both strings taut (see diagram).
(main)[6]

Determine the tension in $S_1$ and the tension in $S_2$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Horizontal resolution of forces: $T_1\sin APN = T_2\sin BPN$

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