1 / 20

Addition of Vectors

Addition of Vectors. N. Imagine that you have a map that leads you to a buried treasure. This map has instructions such as 15 paces west northwest of the skull. The 15 paces is a distance and west northwest is a direction.

Lucy
Download Presentation

Addition of Vectors

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Addition of Vectors

  2. N • Imagine that you have a map that leads you to a buried treasure. • This map has instructions such as 15 paces west northwest of the skull. • The 15 paces is a distance and west northwest is a direction.

  3. Quantities that are described by a magnitude (such as the distance on the previous slide) and a direction are called vectors. • Those quantities that have no direction are called scalars.

  4. Examples of scalars in physics are mass time distance speed work energy • Examples of vectors in physics are displacement velocity acceleration force momentum angular momentum

  5. The math associated with scalars is familiar to everyone. • The math associated with vectors is more involved. • Today you will explore the graphical addition of vectors.

  6. Let’s use a treasure map again as an example of the addition of vectors. • Let’s imagine the instructions tell you to go 4 miles east then 3 miles north.

  7. 5 miles 3 miles 36.90 4 miles

  8. In this case you could have gone 3 miles north first and then 4 miles east next and still end up at the same location. • Your final position is 5 miles at 36.90 north of east. • It would have saved time if that had been the one distance and one direction traveled in the first place.

  9. We say that the 5 miles at 36.90 north of east is the vector sum of the 4 miles east vector and the 3 miles north vector. • The order of the addition does not matter. • Examples of addition of vectors follows. The method used is the head-to-tail method. • You must know how to do these for your lab exams.

  10. Head-to-Tail Method of Addition of Two Vectors

  11. Head-to-Tail Method of Addition of Three Vectors

  12. You will need to use a scale when you graph your vectors. For example, you might set 10 cm to represent 100 grams.

  13. How to ConstructTwo Perpendicular Lines(With a Protractor)to form aSet of Coordinate Axes

  14. N E W S

  15. How to Constructa Second Set of Coordinate Axes Parallel toan Initial Set of Coordinate Axes

  16. Mark the angle for the vector.

  17. Remember the angle marked.

  18. N E W S Resultant

  19. N 900 1800 00 E W 2700 S Resultant Equilibrant

More Related