1.
\begin{figure}[h]
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\caption{Fig. 1}
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Figure 1 shows a non-uniform beam \(A B\) of mass 10 kg and length 6 m resting in a horizontal position on a single support 2 m from \(A\). The beam is supported at \(B\) by a vertical string.
Given that the magnitude of the tension in the string is 1.5 times the magnitude of the reaction at the support, find the distance of the centre of mass of the beam from \(A\).
(6 marks)