2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e5b08946-7311-4cf7-9c5f-5f309a1feed7-03_522_654_223_646}
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\caption{Figure 1}
\end{figure}
A uniform lamina \(L\) is in the shape of an equilateral triangle of side \(2 a\). The lamina is placed in the \(x y\)-plane with one vertex at the origin \(O\) and an axis of symmetry along the \(x\)-axis, as shown in Figure 1.
Use algebraic integration to find the \(x\) coordinate of the centre of mass of \(L\).