3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c762bd90-5b57-428a-a7a8-291a1a643a14-3_309_590_196_518}
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\caption{Fig. 2}
\end{figure}
Figure 2 shows a ball of mass 3 kg lying on a smooth plane inclined at an angle \(\alpha\) to the horizontal where \(\sin \alpha = \frac { 3 } { 5 }\). The ball is held in equilibrium by a force of magnitude \(P\) newtons, which acts at an angle of \(10 ^ { \circ }\) to the line of greatest slope of the plane.
- Suggest a suitable model for the ball.
Giving your answers correct to 1 decimal place,
- find the value of \(P\),
- find the magnitude of the reaction between the ball and the plane.