| Exam Board | WJEC |
|---|---|
| Module | Further Unit 6 (Further Unit 6) |
| Year | 2022 |
| Session | June |
| Marks | 12 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Moments |
| Type | Rod hinged to wall with string support |
| Difficulty | Standard +0.3 This is a standard mechanics problem requiring moments about a point and resolution of forces. While it involves multiple steps (finding angle, taking moments, resolving forces), the techniques are routine for Further Maths students: basic trigonometry, moment equilibrium about the hinge, and Pythagoras for the resultant reaction. No novel insight required, just systematic application of standard methods. |
| Spec | 3.04b Equilibrium: zero resultant moment and force6.04e Rigid body equilibrium: coplanar forces |
4. The diagram below shows a uniform rod $A B$, of weight 10 N , hinged to a vertical wall at $A$. The rod is held in a horizontal position by means of a light inextensible string. One end of the string is attached to a point $C$ on the rod and the other end is attached to a point $D$ on the wall. The point $D$ is 0.6 m vertically above $A$ and the length of $A C$ is 0.8 m . A particle of weight 25 N is attached to the rod at $B$ and the tension in the string is 75 N .\\
\includegraphics[max width=\textwidth, alt={}, center]{b9c63cb4-d446-4548-be42-e30b10cb4b99-4_572_808_612_625}
\begin{enumerate}[label=(\alph*)]
\item Find the length of the rod $A B$.
\item Calculate the magnitude and direction of the reaction at the hinge at $A$.
\end{enumerate}
\hfill \mbox{\textit{WJEC Further Unit 6 2022 Q4 [12]}}