3.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{64b0abc9-4021-44e6-8bf7-1a5862617085-08_744_369_246_447}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{64b0abc9-4021-44e6-8bf7-1a5862617085-08_538_593_452_1023}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}

The uniform rectangular lamina $A B D E$, shown in Figure 1, has side $A B$ of length $2 a$ and side $B D$ of length $6 a$. The point $C$ divides $B D$ in the ratio 1:2 and the point $F$ divides $E A$ in the ratio $1 : 2$. The rectangular lamina is folded along $F C$ to produce the folded lamina $L$, shown in Figure 2.
\begin{enumerate}[label=(\alph*)]
\item Show that the centre of mass of $L$ is $\frac { 16 } { 9 } a$ from $E F$.

The folded lamina, $L$, is freely suspended from $C$ and hangs in equilibrium.
\item Find the size of the angle between $C F$ and the downward vertical.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M2 2017 Q3 [9]}}