Edexcel M1 2001 June — Question 4

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2001
SessionJune
TopicMotion on a slope

4. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 3} \includegraphics[alt={},max width=\textwidth]{218383c1-0875-46f2-9416-8e827065a7a6-4_347_854_356_640}
\end{figure} A small parcel of mass 3 kg is held in equilibrium on a rough plane by the action of a horizontal force of magnitude 30 N acting in a vertical plane through a line of greatest slope. The plane is inclined at an angle of \(30 ^ { \circ }\) to the horizontal, as shown in Fig. 3. The parcel is modelled as a particle. The parcel is on the point of moving up the slope.
  1. Draw a diagram showing all the forces acting on the parcel.
  2. Find the normal reaction on the parcel.
  3. Find the coefficient of friction between the parcel and the plane.