(a)[6]
Assuming the forces are in equilibrium, determine the values of $F$ and $\theta$.
(b)[3]
If instead $F = 10\sqrt{2}$ and $\theta = 45$, determine the direction and the exact magnitude of the resultant force.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Four coplanar forces act at a point, with magnitudes of $F\,\text{N}$, $10\,\text{N}$, $50\,\text{N}$ and $40\,\text{N}$. Their directions are indicated in the diagram.
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This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly resolving the forces in one direction to create a valid equilibrium equation.” …
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