OCR MEI M1 2006 January — Question 2

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2006
SessionJanuary
TopicPulley systems

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]
\includegraphics[alt={},max width=\textwidth]{19d42df9-e752-4d33-85e1-4ec59b32135a-2_588_451_1749_806} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure}
  1. What information in the question tells you that the tension is the same throughout the string AB ?
  2. What is the tension in the string AB ?
  3. Calculate the tension in the strings BC and BD .