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Resolving Vectors

Resolving Vectors. Chapter 4. Vectors in the same plane, same direction?. 5 m. 4 m. 9 m. Vectors in same plane, opposite direction?. 7 m. 5 m. 2 m. Example 1.

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Resolving Vectors

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  1. Resolving Vectors Chapter 4

  2. Vectors in the same plane, same direction? 5 m 4 m

  3. 9 m

  4. Vectors in same plane, opposite direction? 7 m 5 m

  5. 2 m

  6. Example 1 • Jim Jimson is riding the DART train. The train is traveling at 4 m/s past the station. As the train passes the station, Jim gets up and walks towards the rear (heh, heh) of the car at 1 m/s. How fast does Jim appear to be moving relative to an observer outside the train?

  7. Answer…

  8. 3 ms/ in the forward direction!

  9. Vectors at right angles to each other? • Use R2 = A2 + B2= • A and B are… • R stands for resultant (the combination of A and B)

  10. Example 2 • A car is driven 125 km due west, then 65 km due south. What is the magnitude of it’s displacement?

  11. What the...??? • Start by drawing a picture!

  12. Answer…

  13. 125 km 65 km

  14. Since these vectors are at right angles, we can use Pythagorean’s Theorem to solve for this one…

  15. R2 = 1252 + 652 • R2 = 19,850 (we don’t want R2, we want R) • R = 140.8 km

  16. Graphically adding vectors? • Keep these things in mind: • Vectors are always added head to tail • Add the vectors in the specified order • Keep you vectors sized appropriately

  17. Example 3 • Graphically add the following vectors: A to B to D 5 m C 7m B A 5 m 6 m D

  18. Answer…

  19. 5 m 7m 6 m

  20. Have Fun!

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