CAIE M1 2012 November — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2012
SessionNovember
TopicMotion on a slope

3
\includegraphics[max width=\textwidth, alt={}, center]{2bb3c9bb-60f0-440d-a148-b4db3478ca31-2_241_535_1247_806} A particle \(P\) of mass 0.5 kg rests on a rough plane inclined at angle \(\alpha\) to the horizontal, where \(\sin \alpha = 0.28\). A force of magnitude 0.6 N , acting upwards on \(P\) at angle \(\alpha\) from a line of greatest slope of the plane, is just sufficient to prevent \(P\) sliding down the plane (see diagram). Find
  1. the normal component of the contact force on \(P\),
  2. the frictional component of the contact force on \(P\),
  3. the coefficient of friction between \(P\) and the plane.