Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Three forces acting in one plane are applied at a single point. Their magnitudes are $5.5\,\text{N}$, $6.8\,\text{N}$ and $7.3\,\text{N}$, and the directions in which they act are shown in the diagram.
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If the resultant of the three forces is in the same direction as the force of magnitude $6.8\,\text{N}$, determine the value of $\alpha$ and the magnitude of the resultant.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: By using $7.3\sin\alpha = 5.5$

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