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Aim: How can we add vectors together that are not concurrent?

Aim: How can we add vectors together that are not concurrent?. Do Now: A boy walks 5 m East, 3 m North, and 7 m West. Draw the vectors to represent this. Scale: 1 cm = 1 m. Tip to TailMethod. Draw the 1 st vector The 2 nd vector begins where the 1 st vector ends

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Aim: How can we add vectors together that are not concurrent?

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  1. Aim: How can we add vectors together that are not concurrent? Do Now: A boy walks 5 m East, 3 m North, and 7 m West. Draw the vectors to represent this. Scale: 1 cm = 1 m

  2. Tip to TailMethod • Draw the 1st vector • The 2nd vector begins where the 1st vector ends • Repeat for all vectors • The resultant gets drawn from the start (tail) of the 1st vector to the end (tip) of the last vector.

  3. N W E S

  4. N W E S

  5. N W E 5 m S

  6. N W E 5 m S

  7. N 3 m W E 5 m S

  8. N 7 m 3 m W E 5 m S

  9. N 3.7 cm = 3.7 m 7 m 3.7 m 3 m W E 5 m S

  10. N 3.7 m 56° North of West 7 m 3.7 m 3 m W E 5 m S

  11. N 3.7 m 56° North of West 7 m 3.7 m 3 m 56° W E 5 m S

  12. Find the resultant of the following vectors using the tip to tail method: 75 N North 175 N 40° South of East 100 N West Scale: 1 cm = 25 N

  13. N W E S

  14. N 75 N W E S

  15. N 75 N W E S

  16. N 75 N W E S

  17. N 40° 75 N 175 N W E S

  18. N 40° 75 N 175 N W E 100 N S

  19. N 40° 75 N 175 N W E 100 N S

  20. N 2.2 cm = 55 N 40° 75 N 175 N W E 100 N S

  21. N 55 N 50° South of East 40° 75 N 175 N W E 100 N S

  22. N 55 N 50° South of East 40° 75 N 175 N W E 50° 55 N 100 N S

  23. Equilibriant (for forces only) • You know how to solve for the resultant (the net force vector acting on an object) • The equilibriant is the vector that when added to the resultant would put the object in equilibrium • Is equal in magnitude to the resultant • Is in the opposite direction (180oout of phase)

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