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Since the forces are in equilibrium, determine $F$ and $\theta$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Four forces lie in one plane and act at a single point. Their magnitudes are $20\,\text{N}$, $30\,\text{N}$, $40\,\text{N}$ and $F\,\text{N}$. Their directions are indicated in the diagram, with $\sin \alpha = 0.28$ and $\sin \beta = 0.6$.
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 into components, for example $F \sin\theta + 20\sin 60 - 30\sin \alpha - 40\sin \beta = 0$” …
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