| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2006 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Pulley systems |
| Type | Two particles over pulley, vertical strings |
| Difficulty | Moderate -0.8 This is a straightforward equilibrium problem requiring basic understanding of tension in light strings and simple resolution of forces. Part (i) tests conceptual understanding (light string, smooth pulley), part (ii) is immediate from weight = tension, and part (iii) requires basic vertical resolution with symmetry. Standard M1 bookwork with minimal problem-solving demand. |
| Spec | 3.03k Connected particles: pulleys and equilibrium3.03n Equilibrium in 2D: particle under forces |
2 Fig. 2 shows a light string with an object of mass 4 kg attached at end A . The string passes over a smooth pulley and its other end B is attached to two light strings BC and BD of the same length. The strings BC and BD are attached to horizontal ground and are each inclined at $20 ^ { \circ }$ to the vertical.
The system is in equilibrium.
\begin{figure}[h]
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\includegraphics[alt={},max width=\textwidth]{19d42df9-e752-4d33-85e1-4ec59b32135a-2_588_451_1749_806}
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\caption{Fig. 2}
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(i) What information in the question tells you that the tension is the same throughout the string AB ?\\
(ii) What is the tension in the string AB ?\\
(iii) Calculate the tension in the strings BC and BD .
\hfill \mbox{\textit{OCR MEI M1 2006 Q2 [5]}}