3.
\begin{figure}[h]
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\caption{Figure 1}
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A uniform lamina \(A B C D E F\) is formed by taking a uniform sheet of card in the form of a square \(A X E F\), of side \(2 a\), and removing the square \(B X D C\) of side \(a\), where \(B\) and \(D\) are the mid-points of \(A X\) and \(X E\) respectively, as shown in Figure 1.
- Find the distance of the centre of mass of the lamina from \(A F\).
The lamina is freely suspended from \(A\) and hangs in equilibrium.
- Find, in degrees to one decimal place, the angle which \(A F\) makes with the vertical.