Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

At point $P$, three coplanar forces with magnitudes $F\,\text{N}$, $12\,\text{N}$ and $15\,\text{N}$ act in equilibrium in the directions indicated in the diagram.
(main)[4]

Find the values of $\alpha$ and $F$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolving in the direction of the $12\,\text{N}$ force gives $12 = 15 \sin \alpha$

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