A particle of mass \(\quantity{10}{kg}\) starts at rest on a rough inclined plane. A force of magnitude \(\quantity{P}{N}\) is applied to the particle and acts up the slope, parallel to the plane.
When \(P = 20\) the particle is on the point of sliding down the plane.
When \(P = 40\) the particle is on the point of sliding up the plane.
Describe how the particle moves and calculate the frictional force when the force applied is:
- \(P = 25\)
- \(P = 30\)
- \(P = 50\)
What would a graph of the frictional force against \(P\) look like?
