| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Marks | 9 |
| 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 M2 moments equilibrium problem requiring a force diagram, taking moments about the hinge, and resolving forces. The setup is straightforward with the tension given, requiring only basic trigonometry and moment calculation about a point. Slightly easier than average due to the given tension value simplifying the algebra. |
| Spec | 6.04e Rigid body equilibrium: coplanar forces |
| Answer | Marks | Guidance |
|---|---|---|
| (a) Diagram showing weight, tension, two components of reaction or single reaction force at \(X\) | B4 | |
| (b) \(M(X): 2mg\,a\cos\theta = mg\,a\sin\theta\) \(\quad \tan\theta = 2\) \(\quad \theta = 63.4°\) | M1 A1 A1 M1 A1 | Total: 9 marks |
**(a)** Diagram showing weight, tension, two components of reaction or single reaction force at $X$ | B4 |
**(b)** $M(X): 2mg\,a\cos\theta = mg\,a\sin\theta$ $\quad \tan\theta = 2$ $\quad \theta = 63.4°$ | M1 A1 A1 M1 A1 | Total: 9 marks5.
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A uniform rod $X Y$, of length $2 a$ and mass $m$, is connected to a vertical wall by a smooth hinge at the end $X$. A horizontal light inelastic string connects the mid-point of $X Y$ to the wall and the rod is in equilibrium in this position.
\begin{enumerate}[label=(\alph*)]
\item Draw a diagram to show all the forces acting on the rod.
Given that the tension in the horizontal string is of magnitude $2 m g$,
\item find the angle which $X Y$ makes with the vertical.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 Q5 [9]}}