(i)[3]
Determine the value of $\theta$.
(ii)[2]
Determine the component of the resultant in the direction of the force of magnitude $14\,\text{N}$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
At point $O$, forces of magnitudes $13\,\text{N}$ and $14\,\text{N}$ act in the directions indicated in the diagram. Their resultant has magnitude $15\,\text{N}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set-up as $X = 14 - 13\cos\theta$ and $Y = 13\sin\theta$, or a triangle with sides 13, 14, 15 and $\theta$ opposite 15” …
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