3.
\begin{figure}[h]
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\caption{Fig. 2}
\end{figure}
Figure 2 shows a cable car \(C\) of mass 1 tonne which has broken down. The cable car is suspended in equilibrium by two perpendicular cables \(A C\) and \(B C\) which are attached to fixed points \(A\) and \(B\), at the same horizontal level on either side of a valley. The cable \(A C\) is inclined at an angle \(\alpha\) to the horizontal where \(\tan \alpha = \frac { 3 } { 4 }\).
- Show that the tension in the cable \(A C\) is 5880 N and find the tension in the cable BC.
A gust of wind then blows along the valley.
- Explain the effect that this will have on the tension in the two cables.