Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Three coplanar forces with magnitudes $250 \text{ N}$, $160 \text{ N}$ and $370 \text{ N}$ are applied at a point $O$ in the directions indicated in the diagram, with angle $\alpha$ defined by $\sin \alpha = 0.28$ and $\cos \alpha = 0.96$.
(main)[7]

Calculate the size of the resultant from the three forces. Calculate also the angle between the resultant and the $x$-direction.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Breaks the forces into components to obtain $X = 160 + 250\cos\alpha$

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