OCR MEI M1 2013 January — Question 1

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2013
SessionJanuary
TopicMotion on a slope

1 Fig. 1 shows a block of mass 3 kg on a plane which is inclined at an angle of \(30 ^ { \circ }\) to the horizontal.
A force \(P \mathrm {~N}\) is applied to the block parallel to the plane in the upwards direction.
The plane is rough so that a frictional force of 10 N opposes the motion.
The block is moving at constant speed up the plane. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{13f555cc-d506-48e5-a0e4-225cae4251dc-3_214_622_657_724} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure}
  1. Mark and label all the forces acting on the block.
  2. Calculate the magnitude of the normal reaction of the plane on the block.
  3. Calculate the magnitude of the force \(P\).