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6 marksCoplanar Forces and Equilibrium

CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 5(a)(i)

Ends of a string are attached to fixed points P and S at the same horizontal level. Two weights, 120 N and w N, are attached at Q and R such that QR is horizontal. The system is in equilibrium with PQ and RS making angles 45° and 60° respectively with the horizontal.

Draw a clearly labelled diagram showing all the forces (tensions and weights), and the points P, Q, R and S.

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Other parts of this question

  1. 5(a)(ii)Using your diagram, calculate the tension in the strings PQ and QR, and the weight, w.[10 marks]
  2. 5(b)(i)Draw a diagram which illustrates the forces acting on the particle.[2 marks]
  3. 5(b)(ii)Determine the coefficient of friction.[4 marks]
  4. 5(b)(iii)Calculate the least force which, acting along the slope of the plane, will just cause the particle to move upwards.[3 marks]

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