Repeat Chapter Problem 11.4 if the beam has a machine of mass \(m=2.0 ho A L\) where \(ho A L\) is the total mass of the beam. The machine is placed at the midspan of the beam.

Data From Chapter Problem 11.4:

Use the assumed modes method with trial functions

\[ w_{1}(x)=x(x-L) \quad w_{2}(x)=x(x-L)^{2} \quad w_{3}(x)=x(x-L)^{3} \]

to approximate the two lowest natural frequencies and mode shapes for a simply supported beam.