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A-LevelMathematicsMechanics9709/42 · May/June 2019 · Q16 Marks

Coplanar forces of magnitudes 40 N, 32 N, PN and 17 N act at a point in the directions shown in the diagram. The system is in equilibrium. Find the values of P and θ.

  1. Coplanar forces of magnitudes 40 N, 32 N, PN and 17 N act at a point in the directions shown in the diagram. The system is in equilibrium. Find the values of P and θ.[6]

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Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [M1] Resolve forces horizontally or vertically
  2. [A1] One correct
  3. [A1] Both correct
  4. [M1] Either use Pythagoras to find P or use their value of θ to find P
  5. [M1] Either use trigonometry to find θ or use their value of P to find
  6. [A1] P = 42(.0) and θ=67.4

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, May/June 2019 Paper 4 Variant 2, question 1.

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