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A-LevelMathematicsMechanics9709/41 · Oct/Nov 2022 · Q15 Marks

Coplanar forces of magnitudes PN, QN, 16N and 22N act at a point in the directions shown in the diagram. The forces are in equilibrium.

  1. Find the values of P and Q.[5]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [M1] Attempt at resolving horizontally or vertically Allow sign errors, allow sin/cos mix. 3 terms.
  2. [A1] Pcos 25 = 22+16cos 55
  3. [A1] Q+16sin 55 = P sin 25 Allow their P.
  4. [M1] Attempt to solve for P or Q No missing/extra terms.
  5. [A1] P=34.4 Q=1.43 P=34.40025941, Q=1.431745128 .

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About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Oct/Nov 2022 Paper 4 Variant 1, question 1.

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