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Lecture 8: Vector Components

Lecture 8: Vector Components. Average amount spent lobbying Congress each day it was in session last year: $16,279,069. Vector Components. y. A. A y. θ. x. A x. y. A y. θ. φ. x. A x < 0. Given A and θ we found A x and A y Given A x and A y , find A and θ. y. A y. θ. A x.

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Lecture 8: Vector Components

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  1. Lecture 8: Vector Components Average amount spent lobbying Congress each day it was in session last year: $16,279,069

  2. Vector Components y A Ay θ x Ax

  3. y Ay θ φ x Ax < 0

  4. Given A and θ we found Ax and Ay Given Ax and Ay, find A and θ y Ay θ Ax x

  5. Given A and θ we found Ax and Ay Given Ax and Ay, find A and θ φ Cy = C cosφ Cx = C sin φ

  6. Adding vectors numerically Also called algebraic addition What would subtraction look like? Scalar multiplication?

  7. Which of the vectors below best represents the vector sum P + Q?   Slide 3-13

  8. Answer Which of the vectors below best represents the vector sum P + Q?   Slide 3-14

  9. Which of the vectors below best represents the difference P – Q?   Slide 3-15

  10. Answer Which of the vectors below best represents the difference P – Q?   Slide 3-16

  11. What are the x- and y-components of these vectors? 3, 2 2, 3 -3, 2 2, -3 -3, -2 Slide 3-19

  12. What are the x- and y-components of these vectors? 3, -4 4, 3 -3, 4 4, -3 -3, -4 Slide 3-21

  13. The following vectors have length 4.0 units. What are the x- and y-components of these vectors? 3.5, 2.0 -2.0, 3.5 -3.5, 2.0 2.0, -3.5 -3.5, -2.0 Slide 3-23

  14. Ax is the __________ of the vector A. • Magnitude • X-component • Direction • Size • displacement

  15. Monday • Review for Exam I • Chapter 1 motion diagrams, unit conversion • Chapter 2 motion in 1-dimension, constant velocity, constant acceleration • Chapter 3 (part) add vectors graphically, algebraically, components

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