Edexcel M2 2020 June — Question 3

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2020
SessionJune
TopicMoments

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{1dea68fe-7916-41ed-894e-6b48f8d989bb-08_476_725_251_605} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} A uniform rod \(A B\), of mass 25 kg and length 3 m , has end \(A\) resting on rough horizontal ground. The end \(B\) rests against a rough vertical wall. The rod is in a vertical plane perpendicular to the wall.
The coefficient of friction between the rod and the ground is \(\frac { 4 } { 5 }\)
The coefficient of friction between the rod and the wall is \(\frac { 3 } { 5 }\)
The rod rests in limiting equilibrium.
The rod is at an angle of \(\theta\) to the ground, as shown in Figure 1. Find the exact value of \(\tan \theta\).
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