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Calculate the values of $P$ and $\theta$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Forces that are coplanar, with magnitudes $40\,\mathrm{N}$, $32\,\mathrm{N}$, $P\,\mathrm{N}$ and $17\,\mathrm{N}$, act at a point in the directions indicated in the diagram. The system is in a state of equilibrium.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “By resolving the forces horizontally or vertically, obtain equations such as $P\cos\theta = 32\cos20 - 17\sin55$ and $P\sin\theta = 40 + 17\cos55 - 32\sin20$” …
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