Mathematics (AS & A Level) · May / June 2016 · Paper 43 · Question 4
9709
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A particle of mass 15 kg is stationary on a rough plane inclined at an angle of 20Å to the horizontal. The coefficient of friction between the particle and the plane is 0.2. A force of magnitude X N acting parallel to a line of greatest slope of the plane is used to keep the particle in equilibrium. Show that the least possible value of X is 23.1, correct to 3 significant figures, and find the greatest possible value of X. [7]
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