Chapter 3. Vectors and Coordinate Systems
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1 Chapter 3. Vectors and Coordinate Systems Our universe has three dimensions, so some quantities also need a direction for a full description. For example, wind has both a speed and a direction; hence the motion of the wind is described by a vector. Chapter Goal: To learn how vectors are represented and used.
2 Chapter 3. Vectors and Coordinate Systems Topics: Vectors Properties of Vectors Coordinate Systems and Vector Components Vector Algebra
3 Chapter 3. Reading Quizzes
4 What is a vector? A. A quantity having both size and direction B. The rate of change of velocity C. A number defined by an angle and a magnitude D. The difference between initial and final displacement E. None of the above
5 What is a vector? A. A quantity having both size and direction B. The rate of change of velocity C. A number defined by an angle and a magnitude D. The difference between initial and final displacement E. None of the above
6 What is the name of the quantity ^ ö represented as i? A. Eye-hat B. Invariant magnitude C. Integral of motion D. Unit vector in x-direction E. Length of the horizontal axis
7 What is the name of the quantity ^ ö represented as i? A. Eye-hat B. Invariant magnitude C. Integral of motion D. Unit vector in x-direction E. Length of the horizontal axis
8 This chapter shows how vectors can be added using A. graphical addition. B. algebraic addition. C. numerical addition. D. both A and B. E. both A and C.
9 This chapter shows how vectors can be added using A. graphical addition. B. algebraic addition. C. numerical addition. D. both A and B. E. both A and C.
10 To decompose a vector means A. to break it into several smaller vectors. B. to break it apart into scalars. C. to break it into pieces parallel to the axes. D. to place it at the origin. E. This topic was not discussed in Chapter 3.
11 To decompose a vector means A. to break it into several smaller vectors. B. to break it apart into scalars. C. to break it into pieces parallel to the axes. D. to place it at the origin. E. This topic was not discussed in Chapter 3.
12 Chapter 3. Basic Content and Examples
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15 EXAMPLE 3.2 Velocity and displacement QUESTION:
16 EXAMPLE 3.2 Velocity and displacement
17 EXAMPLE 3.2 Velocity and displacement
18 EXAMPLE 3.2 Velocity and displacement
19 EXAMPLE 3.2 Velocity and displacement
20 Tactics: Determining the components of a vector
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26 EXAMPLE 3.3 Finding the components of an acceleration vector
27 EXAMPLE 3.3 Finding the components of an acceleration vector
28 EXAMPLE 3.3 Finding the components of an acceleration vector
29 EXAMPLE 3.3 Finding the components of an acceleration vector
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32 EXAMPLE 3.5 Run rabbit run!
33 EXAMPLE 3.5 Run rabbit run!
34 EXAMPLE 3.5 Run rabbit run!
35 EXAMPLE 3.5 Run rabbit run!
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38 EXAMPLE 3.7 Finding the force perpendicular to a surface
39 EXAMPLE 3.7 Finding the force perpendicular to a surface
40 EXAMPLE 3.7 Finding the force perpendicular to a surface
41 Chapter 3. Summary Slides
42 Important Concepts
43 Important Concepts
44 Using Vectors
45 Using Vectors
46 Using Vectors
47 Using Vectors
48 Chapter 3. Clicker Questions
49 r r r Which figure shows A1 + A2 + A3?
50 r r r Which figure shows A1 + A2 + A3?
51 r r Which figure shows 2 A B?
52 r r Which figure shows 2 A B?
53 What are therx- and y-components Cx and Cy of vector C? A. Cx = 1 cm, Cy = 1 cm B. Cx = 3 cm, Cy = 1 cm C. Cx = 2 cm, Cy = 1 cm D. Cx = 4 cm, Cy = 2 cm E. Cx = 3 cm, Cy = 1 cm
54 What are therx- and y-components Cx and Cy of vector C? A. Cx = 1 cm, Cy = 1 cm B. Cx = 3 cm, Cy = 1 cm C. Cx = 2 cm, Cy = 1 cm D. Cx = 4 cm, Cy = 2 cm E. Cx = 3 cm, Cy = 1 cm
55 r Angle φ that specifies the direction of C is given by A. tan 1(Cy /Cx) B. tan 1(Cx / Cy ) C. tan 1(Cy / Cx ) D. tan 1(Cx /Cy) 1 E. tan ( Cx as / C y )Addison-Wesley. Copyright 2008 Pearson Education, Inc., publishing Pearson
56 r Angle φ that specifies the direction of C is given by A. tan 1(Cy /Cx) B. tan 1(Cx / Cy ) C. tan 1(Cy / Cx ) D. tan 1(Cx /Cy) 1 E. tan ( C / Cy )Addison-Wesley. Copyright 2008 Pearson Education, Inc., publishingxas Pearson
Copyright 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley. Chapter 8 Section 6
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Lecture PowerPoints Chapter 2 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the