4.
\begin{figure}[h]
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\caption{Figure 3}
\includegraphics[alt={},max width=\textwidth]{975a5462-0ba3-448a-8a5a-fc90da640d57-06_330_675_287_644}
\end{figure}
A particle \(P\) of mass 2.5 kg rests in equilibrium on a rough plane under the action of a force of magnitude \(X\) newtons acting up a line of greatest slope of the plane, as shown in Figure 3. The plane is inclined at \(20 ^ { \circ }\) to the horizontal. The coefficient of friction between \(P\) and the plane is 0.4 . The particle is in limiting equilibrium and is on the point of moving up the plane. Calculate
- the normal reaction of the plane on \(P\),
- the value of \(X\).
The force of magnitude \(X\) newtons is now removed.
- Show that \(P\) remains in equilibrium on the plane.