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Find the magnitude and direction of the resultant formed by the three forces.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Coplanar forces with magnitudes $7\,\text{N}$, $6\,\text{N}$ and $8\,\text{N}$ act at a point in the directions illustrated in the diagram. If $\sin \alpha = \frac{3}{5}$, find the magnitude and direction of the resultant of the three forces.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolve the forces horizontally to get $X = 7 - 8\cos\alpha - 6\sin\alpha = -3$” …
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