Estimate the fundamental frequency for the tapered beam of Figure 8.17 where

\[ m(x)=m(1-x / L) \]

and

\[ E A(x)=E A(1-x / L) \]

Compare your result to the exact value of \(\omega_{1}=\) \(2.40 \sqrt{E A / m L^{2}}\).

Transcribed Image Text:

X EA(x), m(x)- y H L Figure 8.17: Tapered beam in longitudinal vibration.