For the simply supported variable mass beam of Problem, assume the deflection to be made up of the first two modes of the uniform beam and solve for the two natural frequencies and mode shapes by the Rayleigh-Ritz method.
Problem
Assuming a static deflection curve
![111_Equation.png](https://secure.tutorsglobe.com/CMSImages/111_Equation.png)
determine the lowest natural frequency of a simply supported beam of constant EI and a mass distribution of
![1351_Equation2.png](https://secure.tutorsglobe.com/CMSImages/1351_Equation2.png)
by the Rayleigh method.