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Separation of vectors into components

Separation of vectors into components. (Component = part). Consider the dog below. What direction is the force on the dog?. Up & to Right Up & to Left Down & right Down and left. 30.

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Separation of vectors into components

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  1. Separation of vectors into components (Component = part)

  2. Consider the dog below. What direction is the force on the dog? • Up & to Right • Up & to Left • Down & right • Down and left 30

  3. NOW, if the leash were held in the direction of the red arrow, predict how the force on the dog would be different? • More L less up • More R less up • More up less R • More up more R 30

  4. NOW, if the leash were held in the direction of the red arrow, predict how the force on the dog would be different? • More L less up • More R less up • More up less R • More up more R 30

  5. NOW, if the leash were held in the direction of the red arrow, predict how the force on the dog would be different? • Just up, no L or R • Just down, no L or R • No force at all 30

  6. NOW, if the leash were held in the direction of the red arrow, predict how the force on the dog would be different? • Just L no up nor down • Just R no up nor down • No force whatsoever. 30

  7. Vector Components: • In many (most) real world situations, forces, velocities, accelerations etc. are NOT parallel to the horizontal and vertical planes and have a Vertical and Horizontal component simultaneously. • In order to describe or predict motion and forces, it is necessary to consider each component separately

  8. Consider the following example of a stone thrown at an angle and a velocity, v. • v = 10m/s v = 10 m/s • Hypothesize which stone stays in the air the longest? • Justify your hypothesis.

  9. Consider the following example of a stone thrown at an angle and a velocity, v. • v = 10m/s v = 10 m/s • Hypothesize which stone is travelling horizontally the fastest? • Justify your hypothesis.

  10. Estimate the horizontal component of the 10 m/s velocity vector • 10m/s • 8m/s • 12m/s • 2m/s :30

  11. Estimate the horizontal component of the 10 m/s velocity vector • 10m/s • 8m/s • 12m/s • 2m/s :30

  12. Estimate the vertical component of the 10 m/s velocity vector • 10m/s • 8m/s • 12m/s • 2m/s :30

  13. Estimate the vertical component of the 10 m/s velocity vector • 10m/s • 8m/s • 12m/s • 2m/s :30

  14. How do we figure out the horizontal and vertical components (we need numbers!) • Draw a rough sketch of the vector SHOWING the magnitude and the angle made with the horizontal. • Sketch a rectangle around the vector • Beginning with the tail, sketch the first component of the vector along the rectangle, then continue from the corner and sketch the second component showing direction with arrows. • Calculate components using SOH CAH TOA

  15. DIRECTION! • Components to the RIGHT or UP are ____ive . • Components to the LEFT or DOWN are ___ive.

  16. Here is one example

  17. Lets do the example in the homework • The physics classroom link from my website has a GREAT tutorial on vectors. Just take yout time and go through it when you have a chance. • This powerpoint in on my website.

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