Edexcel M1 2005 June — Question 4

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2005
SessionJune
TopicMotion on a slope

4. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 2} \includegraphics[alt={},max width=\textwidth]{bd649c3c-6172-4522-bddc-a6d70088ef89-05_256_615_280_659}
\end{figure} A box of mass 2 kg is pulled up a rough plane face by means of a light rope. The plane is inclined at an angle of \(20 ^ { \circ }\) to the horizontal, as shown in Figure 2. The rope is parallel to a line of greatest slope of the plane. The tension in the rope is 18 N . The coefficient of friction between the box and the plane is 0.6 . By modelling the box as a particle, find
  1. the normal reaction of the plane on the box,
  2. the acceleration of the box.