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Vectors

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Transcript

  • 1. Vectors Notes
  • 2. VELOCITY VECTORS
    • VECTOR: An arrow drawn to scale that represents the magnitude and direction of a given velocity.
    10m/s left 5m/s rt
  • 3. Scaled Vector Diagrams
    • There are several characteristics of this diagram which make it an appropriately drawn vector diagram.
      • a scale is clearly listed
      • a vector arrow (with arrowhead) is drawn in a specified direction. The vector arrow has a head and a tail .
      • the magnitude and direction of the vector is clearly labeled.
  • 4. Direction Conventions
    • Use East as zero degrees.
    • Click here to practice:
    Practice set at The Physics Classroom
  • 5.
    • RESULTANT: The single vector that results when two vectors are combined.
    10m/s left 5m/s rt 5m/s left
  • 6. Turn to the question on Page 17:
    • A motor boat is moving 10 km/h relative to the water. If the boat travels in a river that flows at 10km/h, what is the velocity relative to the shore when it heads directly up stream?
    • When it heads directly downstream?
  • 7. Adding Noncollinear vectors
    • The Pythagorean theorem is a useful method for determining the result of adding two (and only two) vectors which make a right angle to each other.
  • 8. Graphical Vector Addition: A + B
    • Step 1- Draw a start point.
    • Step 2- Decide on a scale.
    • Step 3- Draw Vector A to scale.
    • Step 4- Vector B’s tail begins at Vector A’s head. Draw Vector B to scale.
    • Step 5- Draw a line connecting the initial start point to the head of B. This is the resultant.
    • Step 6- Measure the resultant’s length with a ruler and direction with a protractor.
    • Step 7- Convert back to the given units using your scale.
  • 9. Animation of head-to-tail vector addition – three times
  • 10. Practice Graphical Addition Practice Set at The Physics Classroom
  • 11. Resultants and Equilibrants
    • The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together.
    • The equilibrant is the balancing vector… the vector equal in magnitude but opposite in direction to the resultant.
  • 12. Vector Components
    • Some vectors are directed at angles to the coordinate axes, and will need to be transformed into two parts with each part being directed along the axes. Each part of a two-dimensional vector is known as a component .
    • Any vector directed in two dimensions can be thought of as having an influence in two different directions. The components of a vector depict the influence of that vector in a given direction.