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Adding Non-Perpendicular Vectors

Adding Non-Perpendicular Vectors. 3.2 pp 94-97 Mr. Richter. Steps to Adding Non-Perpendicular Vectors. Draw a diagram Break individual vectors down into x- and y-components Add x- and y-components together Draw a new diagram Determine the resultant of the combined components.

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Adding Non-Perpendicular Vectors

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  1. Adding Non-Perpendicular Vectors 3.2 pp 94-97 Mr. Richter

  2. Steps to Adding Non-Perpendicular Vectors • Draw a diagram • Break individual vectors down into x- and y-components • Add x- and y-components together • Draw a new diagram • Determine the resultant of the combined components

  3. Example Problem • A car travels 200 km at 22.0° east of north, then travels, 150 km at 60.0° east of south. What is the car’s overall displacement?

  4. 1. Draw a Diagram 150 km 60.0° 200 km Resultant Displacement 22.0° Vector 1: 200 km 22.0° east of north Vector 2: 150 km 60.0° east of south

  5. 2. Resolve Vectors into Components Δx1 Δy1 22.0° Vector 1: 200 km 22.0° east of north

  6. 2. Resolve Vectors into Components 60.0° Δy2 Δx2 Vector 2: 150 km 60.0° east of south Note the negative y displacement

  7. 3. Add x- and y- Components 185 – 75 =110 m = 74.9 + 130 = 205 m Δx1 + Δx2 = Δxr Δy1 + Δy2 = Δyr Δyr Δxr

  8. 4. Draw a New Diagram Resultant Displacement Δyr = 110 m Δxr = 205 m

  9. 5. Determine the Magnitude and Direction Resultant Displacement Δyr = 110 m θ Δxr = 205 m The displacement of the car is 233 km, at an angle of 28.2° north of east

  10. Now you try • p 95 Sample Problem 3C

  11. Homework • p 94#1-4, 6,7 Due Monday • p97 “Practice 3C” #1-4 Due Wednesday

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