3
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6fe2c5e0-0496-4fb4-95d2-354b90607b5b-3_426_429_264_858}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{figure}
\(A B C D E F\) is the L -shaped cross-section of a uniform solid. This cross-section passes through the centre of mass of the solid and has dimensions as shown in Fig. 1.
- Find the distance of the centre of mass of the solid from the edge \(A B\) of the cross-section.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6fe2c5e0-0496-4fb4-95d2-354b90607b5b-3_588_1020_1087_561}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
The solid rests in equilibrium with the face containing the edge \(A F\) of the cross-section in contact with a horizontal table. The weight of the solid is \(W\) N. A horizontal force of magnitude \(P\) N is applied to the solid at the point \(B\), in the direction of \(B C\) (see Fig. 2). The table is sufficiently rough to prevent sliding. - Find \(P\) in terms of \(W\), given that the equilibrium of the solid is about to be broken.