Edexcel M2 2012 January — Question 5

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2012
SessionJanuary
TopicMoments

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{717c6949-db0f-4c2b-87a6-a7adf8c30a9e-08_597_981_217_461} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} A uniform rod \(A B\) has mass 4 kg and length 1.4 m . The end \(A\) is resting on rough horizontal ground. A light string \(B C\) has one end attached to \(B\) and the other end attached to a fixed point \(C\). The string is perpendicular to the rod and lies in the same vertical plane as the rod. The rod is in equilibrium, inclined at \(20 ^ { \circ }\) to the ground, as shown in Figure 2.
  1. Find the tension in the string. Given that the rod is about to slip,
  2. find the coefficient of friction between the rod and the ground.