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

Resolution of Forces

Applied Mathematics — Second Secondary

Resolution of Forces

Lesson summary

Lesson summary

  • Resolving a force means finding two perpendicular components that have the same effect as the original force.
  • Horizontal component Fx = F cos θ, and vertical component Fy = F sin θ.
  • From the components F = √(Fx² + Fy²), and tan θ = Fy ÷ Fx.
  • Exact values sin 30° = cos 60° = 1 ÷ 2, sin 60° = cos 30° = √3 ÷ 2, and sin 45° = cos 45° = √2 ÷ 2.
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