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Vector Addition: Parallelogram Method

Vector Addition: Parallelogram Method. Jerome walks 4 km north, and 8 km east. What is his displacement?. Graphical: Tip to Tail Method. Jerome walks 4 km north, and 8 km east. What is his displacement?. Graphical Vector Addition: Parallelogram Method. Tip to Tail Method. B. C. A. D.

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Vector Addition: Parallelogram Method

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  1. Vector Addition: Parallelogram Method Jerome walks 4 km north, and 8 km east. What is his displacement?

  2. Graphical: Tip to Tail Method Jerome walks 4 km north, and 8 km east. What is his displacement?

  3. Graphical Vector Addition: Parallelogram Method

  4. Tip to Tail Method

  5. B C A D R Tip to Tail method

  6. Analytical vector addition 2km @ 75° 3km @ 20°

  7. Analytical vector addition 2km @ 75° 3km @ 20°

  8. 3km @ 20° h = 3km cosθ = a/h therefore a = h cosθ sinθ = o/h therefore o = h sinθ a = 3 cos20° o = 3 sin20° a = 2.82km o = 1.03km

  9. Analytical vector addition 2km @ 75° 3km @ 20° Vector addition table .52 1.93 3.34 2.96

  10. R Analytical vector addition Vector addition table R2 = x2 + y2 R2 = 3.342 + 2.962 R = 4.46 km .52 1.93 4.46 3.34 2.96

  11. R Analytical vector addition Vector addition table tanθ = opp/adj θ = tan-1(y/x) θ = tan-1(2.96/3.34) θ = 41.5˚ .52 1.93 41.5˚ 3.34 2.96 4.46

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