4.
\begin{figure}[h]
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\caption{Figure 2}
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\end{figure}
A particle \(P\) of mass 0.5 kg is on a rough plane inclined at an angle \(\alpha\) to the horizontal, where tan \(\alpha = \frac { 3 } { 4 }\). The particle is held at rest on the plane by the action of a force of magnitude 4 N acting up the plane in a direction parallel to a line of greatest slope of the plane, as shown in Figure 2. The particle is on the point of slipping up the plane.
- Find the coefficient of friction between \(P\) and the plane.
The force of magnitude 4 N is removed.
- Find the acceleration of \(P\) down the plane.