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.
- Draw a fully labelled diagram to show the forces acting on the particle.
- Find an expression in terms of \(g , \theta\) and \(\mu\) for the acceleration of the particle.
- Explain what would happen to the particle if \(\mu > \tan \theta\).
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