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Find the values for $P$ and $\theta$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
The diagram shows three horizontal forces with magnitudes $150\,\text{N}$, $100\,\text{N}$ and $P\,\text{N}$ acting in the directions indicated. Their resultant is represented by the broken line in the diagram. This resultant has magnitude $120\,\text{N}$ and forms an angle $75^\circ$ with the $150\,\text{N}$ force.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “When the forces are resolved horizontally: $120\cos75^\circ =150-100-P\cos\theta$” …
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