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Dan Ludwigsen, Assistant Professor of Applied Physics |
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Acoustics II
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| 1. Damped Pendulum, Helmholtz Resonator |
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The two components
of this exercise explore one degree of freedom systems that are NOT
masses on springs. A large pendulum swings with significant damping
from air drag. Students measure the frequency of oscillation and logarithmic
decrement, and calculate the damping coefficient. A simple root beer
bottle forms the Helmholtz resonator (with the neck as a massive plug of
air, and the volume as an acoustic compliance. Students use
a spectrum analyzer to record the response curve for the system. |
| 2. Degrees of Freedom | ||
| 3. Vibrating
String |
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| 4. Vibrating
Membrane |
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| 5. Vibrating
Beam |
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| 6. Vibrating
Plate |
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The PASCO Chladni
plate apparatus is used to investigate modes of a circular and square
thin plate. Comparison with theoretical mode shapes presents
students with a conflict that forces students to consider the driving location.
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Copyright Daniel O. Ludwigsen, 2004