Edexcel M2 2016 June — Question 5

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2016
SessionJune
TopicMoments

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{790546bf-38a4-4eb7-876e-941fe58f4a48-09_952_664_246_712} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} A uniform rod \(A B\) has mass 6 kg and length 2 m . The end \(A\) of the rod rests against a rough vertical wall. One end of a light string is attached to the rod at \(B\). The other end of the string is attached to the wall at \(C\), which is vertically above \(A\). The angle between the rod and the string is \(30 ^ { \circ }\) and the angle between the rod and the wall is \(70 ^ { \circ }\), as shown in Figure 3. The rod is in a vertical plane perpendicular to the wall and rests in limiting equilibrium. Find
  1. the tension in the string,
  2. the coefficient of friction between the rod and the wall,
  3. the direction of the force exerted on the rod by the wall at \(A\).
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