Effective Mass of Cantilever beam (getting .36m instead of .23m)

[Mike415]

Homework Statement

Im trying to find the equivalent mass of a beam so it can be modeled as a hanging point mass problem.

Given the v = y_dot equation, y equation, and T

Somewhere I am messing up with my math I believe as I am getting .36m instead of what I believe should be .23m.

The Attempt at a Solution

http://i.imgur.com/NQc9V.png

 

[SteamKing]

Check the expansion of the []^2 term in the sixth line of your calculation.

 

[Mike415]

Check the expansion of the []^2 term in the sixth line of your calculation.

Ha, thanks. Didn't think Id need a refresher on completing the square!