Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

At point $P$, three coplanar forces with magnitudes $F$ N, $20$ N and $30$ N act, as shown in the diagram. The resultant of these three forces is directed perpendicular to the force of magnitude $F$ N.
(main)[3]

Find the value of $F$ from the information given.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$20\cos 60 + 30\cos 60 - F = 0$” …

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