5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{8e220b8a-46f1-4b9b-88a4-f032c7fbda50-07_564_910_207_523}
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\caption{Figure 2}
\end{figure}
A shop sign \(A B C D E F G\) is modelled as a uniform lamina, as illustrated in Figure 2. \(A B C D\) is a rectangle with \(B C = 120 \mathrm {~cm}\) and \(D C = 90 \mathrm {~cm}\). The shape \(E F G\) is an isosceles triangle with \(E G = 60 \mathrm {~cm}\) and height 60 cm . The mid-point of \(A D\) and the mid-point of \(E G\) coincide.
- Find the distance of the centre of mass of the sign from the side \(A D\).
The sign is freely suspended from \(A\) and hangs at rest.
- Find the size of the angle between \(A B\) and the vertical.