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== Predictions ==
 
== Predictions ==
[[File:{PlankDiagram.pdf|200px|thumb|right|two diamonds and a rectangle]]
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[[File:{PlankDiagram.jpg|200px|thumb|right|Diagram of cantilever amplitude, with the thickness and length labeled T and L respectively.]]
 
The diamond, when mounted from one corner, can be approximately modeled as a cantilever (a beam fixed at one end and free at the other) with non-uniform width. In order to determine the natural oscillatory motion of the diamond, I decided to develop a mathematical model for the motion of cantilevers with non-uniform width, and test that model with data from physical cantilevers.
 
The diamond, when mounted from one corner, can be approximately modeled as a cantilever (a beam fixed at one end and free at the other) with non-uniform width. In order to determine the natural oscillatory motion of the diamond, I decided to develop a mathematical model for the motion of cantilevers with non-uniform width, and test that model with data from physical cantilevers.
  
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