5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f1bdc84b-c8a1-4e7c-a2ba-48b40c6a6d36-14_209_511_246_721}
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\caption{Figure 3}
\end{figure}
A particle of mass \(m\) rests in equilibrium on a fixed rough plane under the action of a force of magnitude \(X\). The force acts up a line of greatest slope of the plane, as shown in Figure 3.
The plane is inclined at an angle \(\alpha\) to the horizontal, where \(\tan \alpha = \frac { 3 } { 4 }\)
The coefficient of friction between the particle and the plane is \(\mu\).
- When \(X = 2 P\), the particle is on the point of sliding up the plane.
- When \(X = P\), the particle is on the point of sliding down the plane.
Find the value of \(\mu\).