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Mathematics (AS & A Level) · May / June 2018 · Paper 42 · Question 5

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A particle of mass 20 kg is on a rough plane inclined at an angle of 60Å to the horizontal. Equilibrium is maintained by a force of magnitude P N acting on the particle, in a direction parallel to a line of greatest slope of the plane. The greatest possible value of P is twice the least possible value of P. Find the value of the coefficient of friction between the particle and the plane. [7] 9

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