SPS SPS SM Mechanics 2023 January — Question 2

Exam BoardSPS
ModuleSPS SM Mechanics (SPS SM Mechanics)
Year2023
SessionJanuary
TopicMotion on a slope

2. A particle of mass \(m\) is placed on a rough inclined plane.
The plane makes an angle \(\theta\) with the horizontal.
The coefficient of friction between the particle and the plane is \(\mu\) where \(\mu < \tan \theta\). The particle is released from rest and accelerates down the plane.
  1. Draw a fully labelled diagram to show the forces acting on the particle.
  2. Find an expression in terms of \(g , \theta\) and \(\mu\) for the acceleration of the particle.
  3. Explain what would happen to the particle if \(\mu > \tan \theta\). \section*{BLANK PAGE FOR WORKING}