A particle of mass 0.5 kg is at rest on a rough plane inclined at an angle  to the horizontal where sin  = 3/5. The particle is just prevented from sliding from the plane by a force of 2 N applied in an upward direction parallel to a line of the greatest slope of the plane. (a) Draw a figure showing all the forces acting on the particle. (b) Calculate the coefficient of friction between the particle and the plane. (c) Calculate by how much the force of 2 N must be increased so that the particle is about to move up the plane.

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A particle of mass 0.5 kg is at rest on a rough plane inclined at an angle
 to the horizontal where sin  = 3/5. The particle is just prevented from
sliding from the plane by a force of 2 N applied in an upward direction
parallel to a line of the greatest slope of the plane.
(a) Draw a figure showing all the forces acting on the particle.

(b) Calculate the coefficient of friction between the particle and the
plane.
(c) Calculate by how much the force of 2 N must be increased so that
the particle is about to move up the plane.

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