5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{054e11cb-9416-40c0-9dde-8d12818bab3f-07_531_1182_114_383}
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\caption{Figure 2}
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A non-uniform rod \(A B\) has length 4 m and weight 120 N . The centre of mass of the rod is at the point \(G\) where \(A G = 2.2 \mathrm {~m}\). The rod is suspended in a horizontal position by two vertical light inextensible strings, one at each end, as shown in Figure 2. A particle of weight 40 N is placed on the rod at the point \(P\), where \(A P = x\) metres. The rod remains horizontal and in equilibrium.
- Find, in terms of \(x\),
- the tension in the string at \(A\),
- the tension in the string at \(B\).
Either string will break if the tension in it exceeds 84 N .
- Find the range of possible values of \(x\).