5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{151d9232-5a78-4bc1-a57e-6c9cae80e473-18_440_230_248_856}
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\caption{Figure 2}
\end{figure}
A small bead of mass 0.2 kg is attached to the end \(P\) of a light rod \(P Q\). The bead is threaded onto a fixed vertical rough wire.
The bead is held in equilibrium with the \(\operatorname { rod } P Q\) inclined to the wire at an angle \(\alpha\), where \(\tan \alpha = \frac { 4 } { 3 }\), as shown in Figure 2.
The thrust in the rod is \(T\) newtons.
The bead is modelled as a particle.
- Find the magnitude and direction of the friction force acting on the bead when \(T = 2.5\)
The coefficient of friction between the bead and the wire is \(\mu\).
Given that the greatest possible value of \(T\) is 6.125 - find the value of \(\mu\).