When you combine a CMOS sensor, 24 frames per second
video and 1/4000 shutter speeds with string vibrations.... you
get this.
py
_
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String Vibrations - Dynamics and Vibrations - Lecture Slides, Slides of Dynamics
The key points in the lecture slides of the Dynamics and Vibrations are:String Vibrations, Degree of Freedom in Motion, Mosquito Properties, Tube Buckling Load, Normal Modes of Vibration, Natural Frequencies, Equations of Motion, Beat of Vibration, Spectrophotometer, Violin String
Typology: Slides
2012/2013
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When you combine a CMOS sensor, 24 frames per secondvideo and 1/4000 shutter speeds with string vibrations.... youget this.
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Degree of Freedom in Motion
Mosquito properties: mass = 1 mg;weight = 10
N
g^
Tube buckling load = 1 mN ; P = 200 N
A^
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Beat of vibration for (
k^^2
k
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1
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1
2
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Since sin
sin
2 cos
sin
For
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sin
A^
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A^
B
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Graphics Reference: Waves, Frank S. Crawford, Jr. 1968, McGraw-Hill
IR Spectrophotometer
y
Frequency of string vibration
sin
x
y^
A t
L
L
x
What is the restoring force per displacement at a position
x?
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2
2
sin
:^
string tension
y
y
df x
df^
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T
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What is the equation of motion at a position
x?
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f^ y
y^
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2 2
sin
sin
:^
string mass / length
x^
x
df^
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d^
d A t
^
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^
2
sin
sin
:^
string mass / length
for all
df^ y
TdxA t
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T
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