Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
At point $A$, three coplanar forces with magnitudes $15\,\text{N}$, $12\,\text{N}$ and $12\,\text{N}$ act in the directions indicated in the diagram.
(i(a))[3]
Find the component of the resultant of the three forces in the direction of $AB$.
(i(b))[3]
Find the component of the resultant of the three forces perpendicular to $AB$.
(ii)[3]
Hence find the magnitude and direction of the resultant of the three forces.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolves forces in direction $AB$, e.g. $2 \times 12\cos 40 - 15\cos 50$” …