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A-LevelMathematicsMechanics9709/41 · Oct/Nov 2024 · Q34 Marks

Coplanar forces of magnitudes 52N, 39N and PN act at a point in the directions shown in [Figure 3.1]. The system is in equilibrium. Find the values of P and θ.

  1. Find the values of P and θ.[4]

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Mark scheme

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

  1. *M1 Resolving in any direction to get an equation
  2. A1 Pcosθ=39 OR Psinθ=52
  3. DM1 Attempt to solve for either P or θ from equations with the correct number of relevant terms.
  4. A1 P=65 AND θ=53.1

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2024 Paper 4 Variant 1, question 3.

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