OCR MEI M1 2016 June — Question 1

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2016
SessionJune
TopicNewton's laws and connected particles

1 Fig. 1 shows a block of mass \(M \mathrm {~kg}\) being pushed over level ground by means of a light rod. The force, \(T \mathrm {~N}\), this exerts on the block is along the line of the rod. The ground is rough.
The rod makes an angle \(\alpha\) with the horizontal. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4c8c96cf-5184-46e4-9c45-a8a80d0a6ff8-2_307_876_621_593} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure}
  1. Draw a diagram showing all the forces acting on the block.
  2. You are given that \(M = 5 , \alpha = 60 ^ { \circ } , T = 40\) and the acceleration of the block is \(1.5 \mathrm {~ms} ^ { - 2 }\). Find the frictional force.