3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e83297d6-d90c-42be-b67a-38ba2a495cb7-2_288_798_1318_525}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{figure}
Figure 1 shows two window cleaners, Alan and Baber, of mass 60 kg and 100 kg respectively standing on a platform \(P Q\) of length 3 metres and mass 20 kg . The platform is suspended by two vertical cables attached to the ends \(P\) and \(Q\). Alan is standing at the point \(A , 1.25\) metres from \(P\), Baber is standing at the point \(B\) and the tension in the cable at \(P\) is twice the tension in the cable at \(Q\).
Modelling the platform as a uniform rod and Alan and Baber as particles,
- find the tension in the cable at \(P\),
- find the distance \(B P\).
- State how you have used the modelling assumptions that
- the platform is uniform,
- the platform is a rod.
(2 marks)