Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Three coplanar forces, with magnitudes $50\,\text{N}$, $40\,\text{N}$ and $30\,\text{N}$, are applied at point $O$ in the directions shown in the diagram, where $\tan\alpha = \frac{7}{24}$.
(i)[6]
Find the magnitude and the direction of the resultant from the three forces.
(ii)[1]
The $50\,\text{N}$ force is replaced by a force of magnitude $P$ acting in the same direction. The resultant of the three forces now acts in the positive $x$-direction. Find the value of $P$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme.