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Mathematics (AS & A Level) · May / June 2021 · Paper 42 · Question 4

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A particle of mass 12 kg is stationary on a rough plane inclined at an angle of 25Å to the horizontal. A pulling force of magnitude P N acts at an angle of 8Å above a line of greatest slope of the plane. This force is used to keep the particle in equilibrium. The coefficient of friction between the particle and the plane is 0.3. Find the greatest possible value of P. [6]

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