Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

At a point, three coplanar forces with magnitudes $40\,\text{N}$, $30\,\text{N}$ and $X\,\text{N}$ act in the directions indicated in the diagram.
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Since the forces are balanced, determine the values of $\theta$ and $X$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces in any chosen direction and form equations, for example $X\cos\theta=40$ and $X\sin\theta=30$.

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