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Determine the values of $P$ and $\theta$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Four coplanar forces of magnitudes $24\ \text{N}$, $P\ \text{N}$, $20\ \text{N}$ and $36\ \text{N}$ act at a point in the directions indicated in the diagram. The system is in equilibrium. Knowing that $\sin \alpha = \frac{3}{5}$, determine the values of $P$ and $\theta$.
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