| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2024 |
| Session | January |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Moments |
| Type | Rod on smooth peg or cylinder |
| Difficulty | Standard +0.3 This is a standard M2 moments problem with a rod on a peg. Part (a) requires taking moments about point A (routine technique), and part (b) requires resolving forces horizontally and vertically then finding the resultant. The question is slightly easier than average because the angle is given in convenient form (sin θ = 3/5 means cos θ = 4/5), the setup is straightforward, and the methods are standard textbook applications with no novel insight required. |
| Spec | 6.03b Conservation of momentum: 1D two particles6.03c Momentum in 2D: vector form6.03d Conservation in 2D: vector momentum6.03i Coefficient of restitution: e6.03j Perfectly elastic/inelastic: collisions6.03k Newton's experimental law: direct impact6.03l Newton's law: oblique impacts |
6.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{d5f06fe7-4d9c-4009-8931-3ecbc31fa5e5-18_424_990_255_539}
\captionsetup{labelformat=empty}
\caption{Figure 5}
\end{center}
\end{figure}
A uniform beam $A B$, of weight 40 N and length 7 m , rests with end $A$ on rough horizontal ground.
The beam rests on a smooth horizontal peg at $C$, with $A C = 5 \mathrm {~m}$, as shown in Figure 5.\\
The beam is inclined at an angle $\theta$ to the ground, where $\sin \theta = \frac { 3 } { 5 }$\\
The beam is modelled as a rod that lies in a vertical plane perpendicular to the peg.\\
The normal reaction between the beam and the peg at $C$ has magnitude $P$ newtons.\\
Using the model,
\begin{enumerate}[label=(\alph*)]
\item show that $P = 22.4$
\item find the magnitude of the resultant force acting on the beam at $A$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2024 Q6 [9]}}