A particle of mass 0.8 kg is held at rest on a rough plane. The plane is inclined at \(30 ^ { \circ }\) to the horizontal. The particle is released from rest and slides down a line of greatest slope of the plane. The particle moves 2.7 m during the first 3 seconds of its motion. Find
- the acceleration of the particle,
- the coefficient of friction between the particle and the plane.
The particle is now held on the same rough plane by a horizontal force of magnitude \(X\) newtons, acting in a plane containing a line of greatest slope of the plane, as shown in Figure 3. The particle is in equilibrium and on the point of moving up the plane.
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\caption{Figure 3}
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