Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Four coplanar forces with magnitudes $P\,\text{N}$, $10\,\text{N}$, $16\,\text{N}$ and $2\,\text{N}$ act at a point in the directions indicated in the diagram. The forces are in equilibrium.
(main)[6]

Determine the values of $\theta$ and $P$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces in one direction to derive an equation that includes $\theta$, e.g. $10\cos25 = 2\cos40 + 16\sin\theta$

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