Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

The diagram depicts three coplanar forces acting at point $O$. Their magnitudes are $6\,\text{N}$, $8\,\text{N}$ and $10\,\text{N}$. The angle formed by the $6\,\text{N}$ force and the $8\,\text{N}$ force is $90^\circ$. The forces are in equilibrium.
(main)[4]

Determine the other angles between the forces.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve forces to obtain $10\cos\alpha = 8$ or $10\cos\beta = 6$

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