CAIE M1 2009 November — Question 1

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2009
SessionNovember
TopicMotion on a slope

1 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{efa7175f-832b-4cd3-82ab-52e402115081-2_458_472_267_493} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{efa7175f-832b-4cd3-82ab-52e402115081-2_351_435_365_1217} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} A small block of weight 12 N is at rest on a smooth plane inclined at \(40 ^ { \circ }\) to the horizontal. The block is held in equilibrium by a force of magnitude \(P \mathrm {~N}\). Find the value of \(P\) when
  1. the force is parallel to the plane as in Fig. 1,
  2. the force is horizontal as in Fig. 2.