A particle of mass 1.2kg is placed on a rough plane which is inclined at an angle θ to the horizontal, where sin θ = 3/25. The particle is kept in equilibrium by a horizontal force of magnitude P N acting in a vertical plane containing a line of greatest slope (see [Figure 6.1]). The coefficient of friction between the particle and the plane is 0.15. Find the least possible value of P.
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