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Mathematics (AS & A Level) · May / June 2023 · Paper 42 · Question 5

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35Å 0.6 kg P N A particle of mass 0.6kg is placed on a rough plane which is inclined at an angle of 35Å to the horizontal. The particle is kept in equilibrium by a horizontal force of magnitude PN acting in a vertical plane containing a line of greatest slope (see diagram). The coefficient of friction between the particle and plane is 0.4. Find the least possible value of P. [6]

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