Graphical Technique for Adding Vectors - Example of Total Displacement Calculation

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Example illustrating the graphical technique for adding vectors to determine the total displacement of a person walking three different paths on a flat field. The person walks specific distances in various directions, and the total displacement is calculated using head-to-tail method.


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  1. Adding two vectors: A = 110m, B = 50 m

  2. Adding Vectors: Head-to-Tail Method Example 3.1: A Woman Takes a Walk (Page 91, Text) Use the graphical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0 north of east. Then, she walks 23.0 m heading 15.0 north of east. Finally, she turns and walks 32.0 m in a direction 68.0 south of east.

  3. Adding Vectors: Head-to-Tail Method Example 3.1: A Woman Takes a Walk (Page 91, Text) Use the graphical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0 north of east. Then, she walks 23.0 m heading 15.0 north of east. Finally, she turns and walks 32.0 m in a direction 68.0 south of east.

  4. Adding Vectors: Head-to-Tail Method Example 3.1: A Woman Takes a Walk (Page 91, Text) Use the graphical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0 north of east. Then, she walks 23.0 m heading 15.0 north of east. Finally, she turns and walks 32.0 m in a direction 68.0 south of east.

  5. Adding Vectors: Head-to-Tail Method Example 3.1: A Woman Takes a Walk (Page 91, Text) Use the graphical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0 north of east. Then, she walks 23.0 m heading 15.0 north of east. Finally, she turns and walks 32.0 m in a direction 68.0 south of east.

  6. Adding Vectors: Head-to-Tail Method Example 3.1: A Woman Takes a Walk (Page 91, Text) Use the graphical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0 north of east. Then, she walks 23.0 m heading 15.0 north of east. Finally, she turns and walks 32.0 m in a direction 68.0 south of east.

  7. Adding Vectors: Head-to-Tail Method Example 3.1: A Woman Takes a Walk (Page 91, Text) Use the graphical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0 north of east. Then, she walks 23.0 m heading 15.0 north of east. Finally, she turns and walks 32.0 m in a direction 68.0 south of east.

  8. Adding Vectors: Head-to-Tail Method Example 3.1: A Woman Takes a Walk (Page 91, Text) Use the graphical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0 north of east. Then, she walks 23.0 m heading 15.0 north of east. Finally, she turns and walks 32.0 m in a direction 68.0 south of east.

  9. Vector Addition and Subtraction B + A B A A B A B

  10. Addition of Vectors using Vector Components A jogger runs 145 m in a direction 20.0 east of north (displacement vector A) and then 105 m in a direction 35.0 south of east (displacement vector B). Using components, determine the magnitude and direction of the resultant vector C.

  11. Analytical/Component Method Find the resultant and equilibrant of the three vectors in the drawing by means of the component method. The magnitudes of the vectors are A = 250-g, B = 300-g, and C = 260-g.

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