Changes

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.

[[Calculations.pdf]]

[[Media:Calculations.pdf]]

[http://zeus.phys.uconn.edu/wiki/index.php/Pratt Lab Journal]

[http://zeus.phys.uconn.edu/wiki/index.php/Calculations Lab Journal]

== Experiment ==

== Experiment ==

Fifteen test cantilevers of varying shapes have been cut from .032 inch thick sheet aluminum in the UConn metal-shop. (Thanks to Brendan Pratt.) Nine are of uniform width, while six have non-uniform width and are shaped like diamonds. (See attached file for exact dimensions.)

Fifteen test cantilevers of varying shapes have been cut from .032 inch thick sheet aluminum in the UConn metal-shop. (Thanks to Brendan Pratt.) Nine are of uniform width, while six have non-uniform width and are shaped like diamonds. (See attached file for exact dimensions.)