8.02 Electricity and Magnetism, Spring 2002
Prof. Walter Lewin
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Definition, including nodes; the fundamental; and equations for first, second, and higher order harmonics.
Standing Waves
4-part problem; finding λ, ν, f, p and sketching; finding transverse speed and propagation speed.
8.02 Electricity and Magnetism, Spring 2002
Prof. Walter Lewin
Course Material Related to This Topic:
Creating standing waves with first, second, and higher order harmonics by shaking a string up and down.
Demonstration: Standing Waves
Create a standing wave by shaking a string and viewing it using strobe lights.
Demonstration: Standing Wave
The fundamental and higher order harmonics, nodes, and the equation for a standing wave.
8.02 Electricity and Magnetism, Spring 2002
Prof. Walter Lewin
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Review: Standing Waves
How wind instruments create sound using standing waves in the air, including a demonstration of a large pipe which creates sound after a copper grid in the pipe is heated and then cooled.
8.02 Electricity and Magnetism, Spring 2002
Prof. Walter Lewin
Course Material Related to This Topic:
Standing Waves in Air
System response to a driving frequency; resonant frequency; resonance with and without damping.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
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Driving Frequencies
Amplitude of shuttle on air track observed for high and low, then resonant, driving frequency.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
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Driving Frequencies Demonstration
Infinite coupled oscillators; harmonics; demonstration of first, second, third, sixth harmonics.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
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Harmonics
Harmonics in tubes which are closed, open at one end, open at both ends.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
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Resonance in Cavities
Music from tube open at both ends, wooden flute; Jingle Bells on wooden trombone.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Ersatz Musical Instruments
Examples from life; tuning forks; breaking a wine glass with an appropriate sound frequency.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
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Resonance Examples
Video of the collapse of the first Tacoma Narrows Bridge.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Tacoma Narrows Bridge
Higher speed of sound in He allows higher voice.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Helium Voice
4-part problem; finding A, f, p, v, λ, ν, and sketching the wave; finding transverse speed and standing waves.
8.02 Electricity and Magnetism, Spring 2002
Prof. Walter Lewin
Course Material Related to This Topic:
Finding the length of a flute necessary for specific note; valve spacing necessary for higher notes.
8.02 Electricity and Magnetism, Spring 2002
Prof. Walter Lewin
Course Material Related to This Topic: