Mathematics (AS & A Level) · Feb / March 2017 · Paper 42 · Question 3
9709
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21Å 0.6 kg P N A particle of mass 0.6 kg is placed on a rough plane which is inclined at an angle of 21Å to the horizontal. The particle is kept in equilibrium by a force of magnitude P N acting parallel to a line of greatest slope of the plane, as shown in the diagram. The coefficient of friction between the particle and the plane is 0.3. Show that the least possible value of P is 0.470, correct to 3 significant figures, and find the greatest possible value of P. [6] 5
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