Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

The forces, with magnitudes $20\,\text{N}$ and $F\,\text{N}$, act at point $P$ in the directions indicated in the diagram.
(a)[2]

If the resultant force has no component in the $y$-direction, calculate $F$.

(b)[5]

If instead $F = 10$, find both the magnitude and the direction of the resultant force.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: By resolving vertically, obtain $F=20\sin60$ (or $20\cos60$ as appropriate)

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