- #1
EastWindBreaks
- 128
- 3
Homework Statement
To find the natural frequency of a uniform cantilever beam, the area moment of inertia, cross-sectional area and density are not given, everything else is given by the lab, our group got a theoretical natural frequency( it might be angular frequency) of 27.44 Hz from lab's computer with the same mass, dimensions and Young's modulus. however, when I try to solve it manually using the natural frequency equation, I got 1.195 as the natural frequency and 7.51 for the angular frequency. which is way off from 27.44, but I should be getting the same value. can someone confirm if my calculation is correct base on the data? I have tried countless times and its driving me crazy. our experimental natural frequency is 24.94, I am not sure how am I gona justify the huge error for the lab report.
2. Relevant equation
ξi=3.516 for Mode 1
I=bh^3/12