| Exam Board | WJEC |
|---|---|
| Module | Unit 4 (Unit 4) |
| Year | 2024 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Equilibrium of particle under coplanar forces |
| Difficulty | Standard +0.3 This is a standard equilibrium problem requiring resolution of forces in two perpendicular directions to find two unknowns (F and α). While it involves trigonometry and simultaneous equations, it's a routine mechanics exercise with a clear method that students practice extensively. The 7 marks reflect the working required rather than conceptual difficulty, making it slightly easier than average. |
| Spec | 3.03e Resolve forces: two dimensions3.03m Equilibrium: sum of resolved forces = 0 |
\begin{enumerate}
\item The diagram below shows four coplanar horizontal forces of magnitude $F \mathrm {~N} , 12 \mathrm {~N} , 16 \mathrm {~N}$ and 20 N acting at a point $P$ in the directions shown.\\
\includegraphics[max width=\textwidth, alt={}, center]{8f47b2ff-f954-42ec-8ecc-fc64313a7b89-14_792_862_593_607}
\end{enumerate}
Given that the forces are in equilibrium, calculate the value of $F$ and the size of the angle $\alpha$. [7]\\
\hfill \mbox{\textit{WJEC Unit 4 2024 Q5 [7]}}