Show that the distance of the centre of mass of the lamina from the side \(B C\) is 6.37 cm .
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{be83d46f-bf5b-4382-b424-bb5067626adc-3_671_608_1050_772}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
The lamina is smoothly hinged to a wall at \(A\) and is supported, with \(A B\) horizontal, by a light wire attached at \(B\). The other end of the wire is attached to a point on the wall, vertically above \(A\), such that the wire makes an angle of \(30 ^ { \circ }\) with \(A B\) (see Fig. 2). The mass of the lamina is 8 kg . Find