Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
At origin $O$, three coplanar forces with magnitudes $68\,\text{N}$, $75\,\text{N}$ and $100\,\text{N}$ act, as the diagram shows. Their components along the positive $x$-direction are $-60\,\text{N}$, $0\,\text{N}$ and $96\,\text{N}$, respectively.
(i)[3]
Find, in the positive $y$-direction, the components of the three forces.
(ii)[4]
Find the magnitude and direction of the resultant of the three forces.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Using $Y^2 = F^2 - X^2$ to work out the components” …