4.
\begin{figure}[h]
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\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{223b98fa-6e19-41de-85dc-2974d1529af1-05_383_748_296_667}
\end{figure}
Figure 1 shows four uniform rods joined to form a rigid rectangular framework \(A B C D\), where \(A B = C D = 2 a\), and \(B C = A D = 3 a\). Each rod has mass \(m\). Particles, of mass \(6 m\) and \(2 m\), are attached to the framework at points \(C\) and \(D\) respectively.
- Find the distance of the centre of mass of the loaded framework from
- \(A B\),
- \(A D\).
The loaded framework is freely suspended from \(B\) and hangs in equilibrium.
- Find the angle which \(B C\) makes with the vertical.