2.
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\caption{Figure 1}
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A non-uniform beam \(A B\) has length 6 m and weight \(W\) newtons. The beam is supported in equilibrium in a horizontal position by two vertical ropes, one attached to the beam at \(A\) and the other attached to the beam at \(C\), where \(C B = 1.5 \mathrm {~m}\), as shown in Figure 1 .
The centre of mass of the beam is 2.625 m from \(A\).
The ropes are modelled as light strings. The beam is modelled as a non-uniform rod.
Given that the tension in the rope attached at \(C\) is 20 N greater than the tension in the rope attached at \(A\),
- find the value of \(W\).
- State how you have used the fact that the beam is modelled as a rod.