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Vector Components in Physics

Learn how to resolve vectors into horizontal and vertical components, construct vector components, and find unit vector components at specific angles using the component method. Discover the rules and signs for vectors in different quadrants. Practice adding vectors by combining their x- and y-components.

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Vector Components in Physics

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  1. y A  x What is meant by the components of a vector? Ay AX

  2. How do we construct the components?

  3. v Vertical Horizontal • Resolving a vector into its horizontal and vertical components • Example: A ball is thrown into the air at 50 m/s at an angle 60 degrees. 

  4. link

  5. link A vector may be composed of its x- and y-components as shown.

  6. F = 316 N,  = 350

  7. F = 316 N,  = 350

  8. Find the horizontal (x) and vertical (y) components of the 11 unit vector at an angle  = 600.

  9. Find the horizontal (x) and vertical (y) components of the 11 unit vector at an angle  = 600.

  10. Find the horizontal (x) and vertical (y) components of the 79 unit vector at an angle  = 1400.

  11. Find the horizontal (x) and vertical (y) components of the 79 unit vector at an angle  = 1400.

  12. GENERAL RULE Note:  is always measured counterclockwise from the positive x-axis

  13. Chart shows the signs of the components in each quadrant

  14. Components can be either Positive or Negative Signs

  15. A Ay 60o Ax A runner traveled 457m on a straight line 60 degrees North of East. What are the east and north components of the runners displacement? N E

  16. Summary: The x- and y-components of a vector: The magnitude of a vector: The angle q between vector and x-axis:

  17. Adding vectors by the component method • Steps: • resolve each vector to its x- and y- components. • Add the x- components together to form the x- resultant • Add the y- components together to form the y- resultant. • Afterwards, use the Pythagorean theorem to find the R. • Use the tan function to find the angle of the resultant

  18. Addition of Vectors using Components link

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