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A-LevelMathematicsMechanics9709/42 · May/June 2024 · Q36 Marks

Four coplanar forces of magnitude PN, 10N, 16N and 2N act at a point in the directions shown in the diagram. It is given that the forces are in equilibrium. Find the values of θ and P.

  1. (implicit)Find the values of θ and P.[6]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [M1] Correct number of relevant terms; allow sign errors; allow sin/cos mix.
  2. [A1]
  3. [A1] This may be with their θ.
  4. [DM1] From equation(s) with correct number of relevant terms. Must be a numerical expression for θ.
  5. [DM1] From equation(s) with correct number of relevant terms. Using their θ. Must be a numerical expression for P.
  6. [A1] 28.07888819 and 19.6285636. AWRT 28.1 and AWRT 19.6 from correct work.

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, May/June 2024 Paper 4 Variant 2, question 3.

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