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A-LevelMathematicsMechanics9709/43 · May/June 2017 · Q25 Marks

The four coplanar forces shown in the diagram are in equilibrium. Find the values of P and θ. [Figure X.X]

  1. The four coplanar forces shown in the diagram are in equilibrium. Find the values of P and θ.[5]

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Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. M1 Resolves forces vertically
  2. A1 P = 8.14
  3. M1 Resolves forces horizontally
  4. M1 Attempt to solve for θ
  5. A1 θ = 30.6
  6. M1 Uses Lami's Theorem (forces 3P and 20)
  7. A1 P = 8.14
  8. M1 Uses Lami's Theorem (forces 3P and 2P cos θ)
  9. M1 Attempt to solve for θ
  10. A1 θ = 30.6

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2017 Paper 4 Variant 3, question 2.

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