Solve Problem 8.66 using the deflection shape (W(x)=c_{0}left(1-cos frac{2 pi x}{l} ight)), where (c_{0}) is a constant.

Solve Problem 8.66 using the deflection shape \(W(x)=c_{0}\left(1-\cos \frac{2 \pi x}{l}\right)\), where \(c_{0}\) is a constant.

Data From Problem 8.66:-

Find the fundamental natural frequency of a fixed-fixed beam using the static deflection curve \[W(x)=\frac{c_{0} x^{2}}{24 E I}(l-x)^{2}\]
where \(c_{0}\) is a constant.