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Mathematics (AS & A Level) · May / June 2024 · Paper 42 · Question 5

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35° 0.8 kg 28° T N A particle of mass 0.8 kg lies on a rough plane which is inclined at an angle of 28° to the horizontal. The particle is kept in equilibrium by a force of magnitude T N. This force acts at an angle of 35° above a line of greatest slope of the plane (see diagram). The coefficient of friction between the particle and the plane is 0.2 . Find the least and greatest possible values of T. [8] 7

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