4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ef2dd10c-5a3c-4868-af00-aaf7f2937d7e-3_222_350_242_788}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
Figure 2 shows an earring consisting of a uniform wire \(A B C D\) of length \(6 a\) bent to form right angles at \(B\) and \(C\) such that \(A B\) and \(C D\) are of length \(2 a\) and \(a\) respectively.
- Find, in terms of \(a\), the distance of the centre of mass from
- \(\quad A B\),
- \(B C\).
The earring is to be worn such that it hangs in equilibrium suspended from the point \(A\).
- Find, to the nearest degree, the angle made by \(A B\) with the downward vertical.
(4 marks)