Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

At point $A$, three coplanar forces with magnitudes $100\,\text{N}$, $50\,\text{N}$ and $50\,\text{N}$ act, as shown in the diagram. The value of $\cos \alpha$ is $\frac{4}{5}$.
(main)[3]

Find the magnitude of the resultant of the three forces and state the direction in which it acts.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resultant force formed $= 100 - 2 \times 50 \cos \alpha$

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