2 Fig. 2 shows a small object, P , of weight 20 N , suspended by two light strings. The strings are tied to points A and B on a sloping ceiling which is at an angle of \(60 ^ { \circ }\) to the upward vertical. The string AP is at \(60 ^ { \circ }\) to the downward vertical and the string BP makes an angle of \(30 ^ { \circ }\) with the ceiling.
The object is in equilibrium.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0330185f-d79d-4a78-9fa2-29ec345c2856-2_430_670_1546_699}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
- Show that \(\angle \mathrm { APB } = 90 ^ { \circ }\).
- Draw a labelled triangle of forces to represent the three forces acting on P .
- Hence, or otherwise, find the tensions in the two strings.