5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e83297d6-d90c-42be-b67a-38ba2a495cb7-3_360_620_822_502}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
A particle \(P\), of mass 2 kg , lies on a rough plane inclined at an angle of \(30 ^ { \circ }\) to the horizontal. A force \(H\), whose line of action is parallel to the line of greatest slope of the plane, is applied to the particle as shown in Figure 2. The coefficient of friction between the particle and the plane is \(\frac { 1 } { \sqrt { 3 } }\).
Given that the particle is on the point of moving up the plane,
- draw a diagram showing all the forces acting on the particle,
- show that the ratio of the magnitude of the frictional force to the magnitude of \(H\) is equal to \(1 : 2\)
The force \(H\) is now removed but \(P\) remains at rest.
- Use the principle of friction to explain how this is possible.