Modeling Wave Dynamics in a Cylinder on a Fulcrum

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Discussion Overview

The discussion revolves around modeling wave dynamics in a cylinder partially filled with fluid, positioned on a fulcrum and set in motion. Participants explore various factors influencing wave behavior, including boundary conditions, material properties, and the nature of wave interactions with the cylinder's boundaries.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that boundary conditions at the edge of the cylinder and the fulcrum are necessary to model the wave behavior.
  • Another participant mentions the importance of holonomic constraints in infinitesimal mechanics for modeling the system.
  • Conflicting views are presented regarding wave behavior at boundaries, with one participant stating that the wave function is destroyed upon hitting the boundary, while another claims it is reflected in the cylinder's reference frame.
  • Material properties of the cylinder are highlighted as a significant factor, with discussions on whether the material absorbs or reflects waves affecting the modeling conditions.
  • It is noted that the cylinder is made of metal, which reflects waves, but the motion about the fulcrum complicates perfect reflection.

Areas of Agreement / Disagreement

Participants express differing opinions on how waves behave at the boundaries and the impact of material properties, indicating that multiple competing views remain without consensus on the modeling approach.

Contextual Notes

Participants have not fully resolved the implications of boundary conditions, the nature of wave absorption versus reflection, and how the motion of the cylinder affects wave dynamics.

JPBenowitz
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Suppose I have a cylinder on a fulcrum that is filled half way with a fluid, how would I model the waves in the cylinder if it were put in motion?
 
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Hey JPBenowitz.

I don't know much about this, but wouldn't you supply boundary conditions for the edge of the cylinder and also the fulcrum to get the behaviour?

Also with regards to infinitesimal mechanics, if you can make the constraints holonomic then you can deal with the theory that utilizes these constraints.
 
chiro said:
Hey JPBenowitz.

I don't know much about this, but wouldn't you supply boundary conditions for the edge of the cylinder and also the fulcrum to get the behaviour?

Also with regards to infinitesimal mechanics, if you can make the constraints holonomic then you can deal with the theory that utilizes these constraints.

I talked to a professor in computational fluid mechanics and he said the wave function is essentially destroyed when it hits the boundary then I talked to a physics professor and he said the wave is simply reflected in the cylinders reference frame so I really don't know where to begin.
 
I think its going to depend on the material as well and this depends on how the material absorbs the wave and whether it absorbs it completely or reflects it.

If the medium absorbs the wave then you have one set of conditions and if it reflects it, then you have another set of conditions.

Do you know about the material properties of the cylinder?
 
chiro said:
I think its going to depend on the material as well and this depends on how the material absorbs the wave and whether it absorbs it completely or reflects it.

If the medium absorbs the wave then you have one set of conditions and if it reflects it, then you have another set of conditions.

Do you know about the material properties of the cylinder?

The material is a metal so it reflects the wave. Although the wave cannot be perfectly reflected because the cylinder is in motion about the fulcrum.
 

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