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A-LevelMathematicsMechanics9709/43 · May/June 2024 · Q23 Marks

A particle of mass 0.2kg is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point on a vertical wall. The particle is held in equilibrium by a force of magnitude X N, perpendicular to the string, with the string taut and making an angle of 30° with the wall (see diagram).

  1. Find the tension in the string and the value of X.[3]

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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] Must have correct number of relevant terms (forces must have components as required). Allow sin/cos mix. Allow sign errors.
  2. [M1] Must have correct number of relevant terms (forces must have components as required). Allow sin/cos mix but must be consistent with their other equation. Allow sign errors.
  3. [A1] For both.

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About this question

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

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