A particle P of mass 0.5 kg rests on a rough plane inclined at angle α to the horizontal, where
sin α = 0.28. A force of magnitude 0.6 N, acting upwards on P at angle α from a line of greatest slope
of the plane, is just sufficient to prevent P sliding down the plane (see diagram). Find
(i) the normal component of the contact force on P, [2]
(ii) the frictional component of the contact force on P, [3]
(iii) the coefficient of friction between P and the plane.