Title: Today 1/16
1Today 1/16
- Waves
- Interference of Waves
- HW 1/16 HW Handout Superposition Due Wed,
1/22 (beginning of class) - Read Ch 16.1,2,5 Ch 17.1,2
- Suggest Problems 16-1,2,3,4,5,8
- Note This lecture is mostly animations and is
more than 80 slides long! Beware the print button!
2Things to think about
Consider a traveling wave sound, light, football
stadium, water...
How would you define a wavelength?
How would you define a frequency?
How would you define a wave velocity?
How does the direction of the waves motion
compare to the direction of the individual
particles motion?
What happens when two waves run into each other?
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12How does the direction of the waves motion
compare to the direction of the individual
particles motion?
Wave moves right while particles move up and
down.Called a transverse wave
Examples are light, water, and football stadium,
sound is a longitudinal wave.
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38Wavelength (?) ?
? 8 units
Wave Velocity (v) ?
Direction is to the right, v ?x/?t
?x is ? and ?t is T, the time for a particle to
go through one complete oscillation, as in SHM.
v ?/T
Frequency, f 1/T also as in SHM.
v ?f
39What happens when two waves collide?
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43waves just meeting
44?
?
?
Superposition!!!
Green wave says move up but blue wave says move
down so...
Particle does not move!!
Superposition means superimpose all effects at
a chosen location then add them up (as vectors)
to get the net effect at that location.
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57Now lets put this in motion.
58Destructive interference
Constructive interference
59Destructive interference
Constructive interference
60Destructive interference
Constructive interference
61Destructive interference
Constructive interference
62Destructive interference
Constructive interference
63Destructive interference
Constructive interference
64Destructive interference
Constructive interference
65Destructive interference
Constructive interference
66Destructive interference
Constructive interference
67Destructive interference
Constructive interference
68Destructive interference
Constructive interference
69Destructive interference
Constructive interference
70Destructive interference
Constructive interference
71Destructive interference
Constructive interference
72Destructive interference
Constructive interference
73Destructive interference
Constructive interference
74Destructive interference
Constructive interference
75Destructive interference
Constructive interference
76Destructive interference
Constructive interference
77Destructive interference
Constructive interference
78Destructive interference
Constructive interference
79Destructive interference
Constructive interference
80Destructive interference
Constructive interference
This is a standing wave and is a
superposition of two traveling waves. These
two waves interfere with each other causing
locations of constructive and destructive
interference.
81Destructive interference
Constructive interference
Note that the locations of constructive and
destructive interference alternate. These
locations are called nodes (destructive) and
anti-nodes (constructive).
82Your first Homework...