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Using $\tan \alpha = \frac{12}{5}$ and $\tan \theta = \frac{4}{3}$, show that the coplanar forces in the diagram are in equilibrium.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
The diagram shows a system of coplanar forces acting through a single point. Their magnitudes are $78\,\text{N}$, $50\,\text{N}$ and $112\,\text{N}$, and the angles $\alpha$ and $\theta$ are measured to the horizontal as shown.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Try resolving the forces horizontally or vertically, for example $(X)=78\times\frac{5}{13}-50\times\frac{3}{5}$ and $(Y)=78\times\frac{12}{13}+50\times\frac{4}{5}-112$” …
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