| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2023 |
| Session | June |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Moments |
| Type | Rod against wall and ground |
| Difficulty | Standard +0.8 This is a standard M2 ladder equilibrium problem requiring resolution of forces in two directions, taking moments about a point, and applying friction laws at two surfaces simultaneously. While it involves multiple steps and careful handling of limiting equilibrium at both contacts, it follows a well-established method taught in M2 with no novel insight required. The 75° angle and dual friction conditions add moderate complexity beyond basic ladder problems. |
| Spec | 3.03u Static equilibrium: on rough surfaces3.04a Calculate moments: about a point3.04b Equilibrium: zero resultant moment and force |
5.
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\caption{Figure 2}
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A uniform beam $A B$, of mass 15 kg and length 6 m , rests with end $A$ on rough horizontal ground. The end $B$ of the beam rests against a rough vertical wall.
The beam is inclined at $75 ^ { \circ }$ to the ground, as shown in Figure 2.\\
The coefficient of friction between the beam and the wall is 0.2\\
The coefficient of friction between the beam and the ground is $\mu$\\
The beam is modelled as a uniform rod which lies in a vertical plane perpendicular to the wall.
The beam rests in limiting equilibrium.
\begin{enumerate}[label=(\alph*)]
\item Find the magnitude of the normal reaction between the beam and the wall at $B$.
\item Find the value of $\mu$
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2023 Q5 [11]}}