# UNC-Chapel Hill PHYS 104 - Mechanical Waves (2 pages)

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## Mechanical Waves

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## Mechanical Waves

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Lecture number:
23
Pages:
2
Type:
Lecture Note
School:
University of North Carolina at Chapel Hill
Course:
Phys 104 - General Physics I
Edition:
1
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PHYS 104 1st Edition Lecture 23 Outline of Last Lecture I Oscillatory Motion II Simple Harmonic Motion a Kinematics b Period of a mass on a spring c Period of a pendulum d Energy in SHM III Damped Oscillations Outline of Current Lecture IV Mechanical Waves V Wave Speed VI Sinusoidal Waves VII Superposition VIII Standing Waves on strings and in pipes Current Lecture A wave disturbance is created by a source Once created the disturbance travels out through the medium at the wave speed v A wave transfers energy but the medium as a whole does not travel particles of the medium oscillate around equilibrium A wave transfers energy from the source but it does not transfer any of the medium In a transverse wave the particles in the medium move perpendicular to the direction in which the wave travels In a longitudinal wave the particles in the medium move parallel to the direction in which the wave travels A string with a greater linear mass density responds more slowly Wave speed decreases with increasing linear mass density A string with a greater tension responds more rapidly Wave speed increases with increasing tension Ts Standing waves do not travel in either direction instead the pattern oscillates in place Individual points on a string oscillate up and down but the wave itself does not travel It is called a standing wave because the crests and troughs stand in place as it oscillates These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute In a standing wave pattern on a string there are some points at which the string never moves These points are called nodes and are spaced 2 apart The ends of a string are fixed in place so they must be nodes At the antinodes the points on the string oscillate with maximum displacement Sound waves are longitudinal pressure waves Air molecules oscillate creating regions of compression p patmos and rarefaction p patmos The difference between p x t and patmos is analogous to the displacement y x t of the string from equilibrium The open end of a tube is a pressure node p 0 t p L t patmos Antinodes of a standing sound wave are where the pressure has the largest variation maximum compressions and rarefactions

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