8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5f2d38d9-b719-4205-8cb0-caa959afc46f-28_268_634_292_657}
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\caption{Figure 4}
\end{figure}
A rough plane is inclined at \(30 ^ { \circ }\) to the horizontal. A particle \(P\) of mass 0.5 kg is held at rest on the plane by a horizontal force of magnitude 5 N , as shown in Figure 4. The force acts in a vertical plane containing a line of greatest slope of the inclined plane. The particle is on the point of moving up the plane.
- Find the magnitude of the normal reaction of the plane on \(P\).
- Find the coefficient of friction between \(P\) and the plane.
The force of magnitude 5 N is now removed and \(P\) accelerates from rest down the plane.
- Find the speed of \(P\) after it has travelled 3 m down the plane.