6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d5f06fe7-4d9c-4009-8931-3ecbc31fa5e5-18_424_990_255_539}
\captionsetup{labelformat=empty}
\caption{Figure 5}
\end{figure}
A uniform beam \(A B\), of weight 40 N and length 7 m , rests with end \(A\) on rough horizontal ground.
The beam rests on a smooth horizontal peg at \(C\), with \(A C = 5 \mathrm {~m}\), as shown in Figure 5.
The beam is inclined at an angle \(\theta\) to the ground, where \(\sin \theta = \frac { 3 } { 5 }\)
The beam is modelled as a rod that lies in a vertical plane perpendicular to the peg.
The normal reaction between the beam and the peg at \(C\) has magnitude \(P\) newtons.
Using the model,
- show that \(P = 22.4\)
- find the magnitude of the resultant force acting on the beam at \(A\).