Download presentation
Presentation is loading. Please wait.
Published byΙωάννα Ελευθερόπουλος Modified over 5 years ago
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 quantity having both size and direction
The rate of change of velocity A number defined by an angle and a magnitude The difference between initial and final displacement None of the above Answer: A
5
What is a vector? A quantity having both size and direction
The rate of change of velocity A number defined by an angle and a magnitude The difference between initial and final displacement None of the above IG3.1
6
What is the name of the quantity represented as ? ^
Eye-hat Invariant magnitude Integral of motion Unit vector in x-direction Length of the horizontal axis Answer: C
7
What is the name of the quantity represented as ? ^
Eye-hat Invariant magnitude Integral of motion Unit vector in x-direction Length of the horizontal axis IG3.2
8
This chapter shows how vectors can be added using
graphical addition. algebraic addition. numerical addition. both A and B. both A and C. Answer: D
9
This chapter shows how vectors can be added using
graphical addition. algebraic addition. numerical addition. both A and B. both A and C. IG3.3
10
To decompose a vector means
to break it into several smaller vectors. to break it apart into scalars. to break it into pieces parallel to the axes. to place it at the origin. This topic was not discussed in Chapter 3. Answer: C
11
To decompose a vector means
to break it into several smaller vectors. to break it apart into scalars. to break it into pieces parallel to the axes. to place it at the origin. This topic was not discussed in Chapter 3. IG3.4
12
Chapter 3. Basic Content and Examples
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
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
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!
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
Which figure shows ? Answer C
50
Which figure shows ? STT3.1
51
Which figure shows 2 − ? Answer A
52
Which figure shows 2 − ? STT3.2
53
What are the x- and y-components Cx and Cy of vector ?
Cx = 1 cm, Cy = –1 cm Cx = –3 cm, Cy = 1 cm Cx = –2 cm, Cy = 1 cm Cx = –4 cm, Cy = 2 cm Cx = –3 cm, Cy = –1 cm Answer D
54
What are the x- and y-components Cx and Cy of vector ?
Cx = 1 cm, Cy = –1 cm Cx = –3 cm, Cy = 1 cm Cx = –2 cm, Cy = 1 cm Cx = –4 cm, Cy = 2 cm Cx = –3 cm, Cy = –1 cm STT3.3
55
Angle φ that specifies the direction of is given by
tan–1(Cy /Cx) tan–1(Cx /|Cy|) tan–1(Cy /|Cx|) tan–1(Cx /Cy) tan–1(|Cx |/|Cy|) Answer D
56
Angle φ that specifies the direction of is given by
tan–1(Cy /Cx) tan–1(Cx /|Cy|) tan–1(Cy /|Cx|) tan–1(Cx /Cy) tan–1(|Cx |/|Cy|) STT3.4
Similar presentations
© 2024 SlidePlayer.com. Inc.
All rights reserved.