Period Oscillating Cantilever to determine stiffness constant

name218 | 15:02 Thu 16th Feb 2006 | Science

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I am conducting an experiment to determine the stiffness constant of two cantilevers - (one with a wooden beam, and one with a plastic beam)

I am going to measure the period of oscillation of the beams with different masses on. From this I plan to determine the stiffness constant.

I thought of using the formula T = 2pi root(m/k). Is this formula suitable? I have been told this may be incorrect. Could there be another way to determine the stiffness constant using the mass and period of oscilaltion (I am not changing the length or anything else - just the mass)

<FONT color=#333399>Thanks</FONT>

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rhyslewis13

From studying dynamics for a module of my engineering degree, I found this to be a common sort of question. The best place to find an answer would be in 'Engineering vibrations' by Daniel J. Inman at any good library. This will cover all aspects of stiffness and contains many related equations. I would post it here but it contains pics and is copyrighted!

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