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Determine the value of $P$ and the value of $Q$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Three coplanar forces with magnitudes $P\,\text{N}$, $5\,\text{N}$ and $10\,\text{N}$ act at a point $O$, as indicated in the diagram. Their resultant has magnitude $Q\,\text{N}$ and is directed perpendicular to the force of magnitude $P\,\text{N}$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolves forces along the direction of $P$ to give $P + 5\sin60 - 10\sin30 = 0$.” …
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