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CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 5(b)(iii)

A particle of mass 20 kg is placed on a rough plane inclined at 22° to the horizontal. The least force acting down along the slope to move the particle is 24 N. g = 10 ms^-2.

Calculate the least force which, acting along the slope of the plane, will just cause the particle to move upwards.

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Other parts of this question

  1. 5(a)(i)Draw a clearly labelled diagram showing all the forces (tensions and weights), and the points P, Q, R and S.[6 marks]
  2. 5(a)(ii)Using your diagram, calculate the tension in the strings PQ and QR, and the weight, w.[10 marks]
  3. 5(b)(i)Draw a diagram which illustrates the forces acting on the particle.[2 marks]
  4. 5(b)(ii)Determine the coefficient of friction.[4 marks]

More practice: the rest of this paper · more Coplanar Forces and Equilibrium questions · all CAPE Applied Mathematics Unit 2 past papers