Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Three coplanar forces with magnitudes $58\,\text{N}$, $31\,\text{N}$ and $26\,\text{N}$ are applied at a point in the directions indicated in the diagram. Since $\tan \alpha = \frac{5}{12}$, determine
(main)[6]

the size and direction of the resultant of the three forces.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Breaking the forces into $i$ and $j$ components to get $X=31+26\cos\alpha$, $Y=58-26\sin\alpha$

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