5.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{64b0abc9-4021-44e6-8bf7-1a5862617085-16_606_1287_260_331}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{center}
\end{figure}

A uniform rod $A B$, of mass 5 kg and length 8 m , has its end $B$ resting on rough horizontal ground. The rod is held in limiting equilibrium at an angle $\alpha$ to the horizontal, where $\tan \alpha = \frac { 3 } { 4 }$, by a rope attached to the rod at $C$. The distance $A C = 1 \mathrm {~m}$. The rope is in the same vertical plane as the rod. The angle between the rope and the rod is $\beta$ and the tension in the rope is $T$ newtons, as shown in Figure 3. The coefficient of friction between the rod and the ground is $\frac { 2 } { 3 }$. The vertical component of the force exerted on the rod at $B$ by the ground is $R$ newtons.
\begin{enumerate}[label=(\alph*)]
\item Find the value of $R$.
\item Find the size of angle $\beta$.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M2 2017 Q5 [11]}}