Curriculum
Course: Applied Mathematics — Second Secondary
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Curriculum

Applied Mathematics — Second Secondary

Unit 1: Statics

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Unit 2: Solid and Analytic Geometry

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Text lesson

Resultant of Coplanar Concurrent Forces

Applied Mathematics — Second Secondary

Resultant of Coplanar Concurrent Forces

The formulas used

The formulas used

  • Let the forces be F1, F2, …, and let each force Fi make an angle θi with the positive x-axis. Then:
Comparison aspectMain ideaKeywords
Horizontal component of the resultantΣX = Σ Fi × cos θi
Vertical component of the resultantΣY = Σ Fi × sin θi
Magnitude of the resultantR = √((ΣX)² + (ΣY)²)
Direction of the resultant
  • tan θ = ΣY ÷ ΣX
  • taking into account the quadrant in
  • it lies
takingaccountquadrantlies
•
  • Here Σ means “the sum of”. If both ΣX and ΣY are zero
  • the resultant is zero
Heremeansbothzero
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