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Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 41 · Question 6

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1.2 kg P N i A particle of mass 1.2 kg is placed on a rough plane which is inclined at an angle i to the horizontal, where sin 25 7 i = . 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 diagram). The coefficient of friction between the particle and the plane is 0.15 . Find the least possible value of P. [6]

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