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CAIE A-Level Mathematics A2 4.1.2 The Vector Nature of Force Questions

Practise combining forces and resolving them into components to model particle motion.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • resolve forces into perpendicular components
  • combine force vectors to find a resultant
  • use component equations to analyse forces on particles

CAIE A-Level Mathematics A2 4.1.2 The Vector Nature of Force Questions question 1

[Maximum number: 3]
Figure for Question CAIE A-Level Mathematics A2 4.1.2 The Vector Nature of Force Questions question 1 — CAIE A-Level Mathematics A2

Coplanar forces, of magnitudes F N,3 N,6 NF \mathrm{~N}, 3 \mathrm{~N}, 6 \mathrm{~N} and 4 N , act at a point P, as shown in the diagram.

Given that α=60\alpha=60, and that the resultant of the four forces is in the direction of the 3 N force, find F.

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