Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

At point $O$, four horizontal forces are balanced, so the forces are in equilibrium. Their magnitudes are $F$ N, $G$ N, $15$ N and $F$ N, and they act in the directions shown in the diagram.
(i)[3]

Show that the value of $F$ is $41.0$, correct to 3 significant figures.

(ii)[2]

Find the numerical value of $G$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces in the $x$ direction to obtain $15 + F\cos 60^\circ = F\cos 30^\circ$

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