Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Three coplanar forces with magnitudes $12\,\text{N}$, $24\,\text{N}$ and $30\,\text{N}$ are applied at one point in the directions indicated in the diagram.
(i)[4]

Determine the components of the resultant of the three forces along the $x$-direction and along the $y$-direction.

(ii)[2]

Hence determine the direction of the resultant.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Finds components in the $x$-direction, e.g. $24\cos25^\circ - 12\cos65^\circ$

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