Edexcel M1 — Question 2

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
TopicMotion on a slope

2. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{10b4d660-3980-4204-b18d-5240dea61a45-2_321_666_584_534} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} Figure 1 shows a toy lorry being pulled by a piece of string, up a ramp inclined at an angle of \(25 ^ { \circ }\) to the horizontal. When the string is pulled with a force of 20 N parallel to the line of greatest slope of the ramp, the lorry is on the point of moving up the ramp. In a simple model of the situation, the ramp is considered to be smooth.
  1. Draw a diagram showing all the forces acting on the lorry.
  2. Find the weight of the lorry and the magnitude of the reaction between the lorry and the ramp, giving your answers to an appropriate degree of accuracy.
  3. Write down any modelling assumptions that you have made about
    1. the lorry,
    2. the string. In a more refined model, the ramp is assumed to be rough.
  4. State the effect that this would have on your answers to part (b).