Edexcel M1 — Question 4

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
TopicMoments

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{60b9db45-b48e-40a1-bd22-909e11877bc3-3_275_842_194_408} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} Figure 2 shows a uniform plank \(A B\) of mass 50 kg and length 5 m which overhangs a river by 2 m . When a boy of mass 20 kg stands at \(A\), his sister can walk to within 0.3 m of \(B\), at which point the plank is in limiting equilibrium.
  1. What is the mass of the girl?
  2. Find the smallest extra weight which must be placed at \(A\) to enable the girl to walk right to the end \(B\).
  3. How have you used the fact that the plank is uniform?