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Determine the values of $\alpha$ and $F$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Particle $P$ is in equilibrium on a smooth horizontal table, acted on by four horizontal forces of magnitudes $6\,\text{N}$, $5\,\text{N}$, $F\,\text{N}$ and $F\,\text{N}$ in the directions indicated.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “After resolving the forces, use $6\cos \alpha + 5\cos(90^\circ-\alpha)=F$ and $6\sin\alpha - 5\sin(90^\circ-\alpha)=F$” …
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