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A-LevelMathematicsMechanics9709/43 · May/June 2021 · Q36 Marks

Four coplanar forces act at a point. The magnitudes of the forces are 20 N, 30 N, 40 N and F N. The directions of the forces are as shown in the diagram, where sin α° = 0.28 and sin β° = 0.6. Given that the forces are in equilibrium, find F and θ. [Figure 3.1]

  1. Given that the forces are in equilibrium, find F and θ.[6]

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Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [M1] For resolving in either direction
  2. [A1]
  3. [A1]
  4. [M1] For method for finding θ
  5. [M1] For method for finding F
  6. [A1]

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, May/June 2021 Paper 4 Variant 3, question 3.

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