| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2018 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Pulley systems |
| Type | Particle on rough horizontal surface, particle hanging |
| Difficulty | Moderate -0.3 This is a standard two-particle pulley system problem requiring straightforward application of Newton's second law to each mass, then solving simultaneous equations. The friction force is given explicitly, eliminating any need to calculate it. While it requires careful bookkeeping of forces and the constraint that accelerations are equal, it's a routine mechanics exercise slightly easier than average due to its direct setup and lack of complications. |
| Spec | 3.03c Newton's second law: F=ma one dimension3.03k Connected particles: pulleys and equilibrium3.03l Newton's third law: extend to situations requiring force resolution |
| Answer | Marks |
|---|---|
| - "Question 4: 4 | 4mkg mkg Fig. 4" |
I appreciate you sharing this, but the content you've provided appears to be incomplete or unclear:
- "Question 4: 4 | 4mkg mkg Fig. 4"
There's no actual mark scheme content visible to clean up. It seems like either:
1. The text didn't copy correctly
2. The image reference (Fig. 4) wasn't included
3. The marking criteria/points are missing
Could you please provide the full mark scheme content for Question 4? Once you share the complete text with the marking annotations (M1, A1, B1, etc.) and any guidance notes, I'll be happy to clean it up and convert to LaTeX notation.4 Fig. 4 shows a block of mass $4 m \mathrm {~kg}$ and a particle of mass $m \mathrm {~kg}$ connected by a light inextensible string passing over a smooth pulley. The block is on a horizontal table, and the particle hangs freely. The part of the string between the pulley and the block is horizontal. The block slides towards the pulley and the particle descends. In this motion, the friction force between the table and the block is $\frac { 1 } { 2 } m g \mathrm {~N}$.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{1513048a-d53b-4b85-82f4-c86e0d81f8f8-3_204_741_1151_662}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{figure}
Find expressions for
\begin{itemize}
\item the acceleration of the system,
\item the tension in the string.
\end{itemize}
\hfill \mbox{\textit{OCR MEI AS Paper 1 2018 Q4 [4]}}