Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

At the point $P$, three coplanar forces of magnitudes $F\,\text{N}$, $2F\,\text{N}$ and $15\,\text{N}$ act, as shown in the diagram. Since the forces are in equilibrium,
(main)[6]

Find $F$ and $\alpha$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: By resolving horizontally, e.g. $2F + F\cos60 = 15\cos\alpha$

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