CAIE M1 2009 November — Question 4

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2009
SessionNovember
TopicMotion on a slope

4 A particle moves up a line of greatest slope of a rough plane inclined at an angle \(\alpha\) to the horizontal, where \(\cos \alpha = 0.96\) and \(\sin \alpha = 0.28\).
  1. Given that the normal component of the contact force acting on the particle has magnitude 1.2 N , find the mass of the particle.
  2. Given also that the frictional component of the contact force acting on the particle has magnitude 0.4 N , find the deceleration of the particle. The particle comes to rest on reaching the point \(X\).
  3. Determine whether the particle remains at \(X\) or whether it starts to move down the plane.