- A rough plane is inclined to the horizontal at an angle \(\alpha\), where \(\tan \alpha = \frac { 3 } { 4 }\).
A particle of mass \(m\) is placed on the plane and then projected up a line of greatest slope of the plane.
The coefficient of friction between the particle and the plane is \(\mu\).
The particle moves up the plane with a constant deceleration of \(\frac { 4 } { 5 } \mathrm {~g}\).
- Find the value of \(\mu\).
The particle comes to rest at the point \(A\) on the plane.
- Determine whether the particle will remain at \(A\), carefully justifying your answer.