2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a3f28425-4acf-4878-b0e3-15b5bc8a92d7-04_494_1116_226_415}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
A uniform rod \(A B\), of mass 6 kg and length 1.6 m , rests with its end \(A\) on rough horizontal ground. The rod is held in equilibrium at \(30 ^ { \circ }\) to the horizontal by a light string attached to the rod at \(B\). The string is at \(40 ^ { \circ }\) to the horizontal and lies in the same vertical plane as the rod, as shown in Figure 1. The tension in the string is \(T\) newtons. The coefficient of friction between the ground and the rod is \(\mu\).
- Show that, to 3 significant figures, \(T = 27.1\)
- Find the set of values of \(\mu\) for which equilibrium is possible.
\includegraphics[max width=\textwidth, alt={}, center]{a3f28425-4acf-4878-b0e3-15b5bc8a92d7-07_27_40_2802_1893}