Question: prove that the rayleigh method for the cantilever beam un...

Prove that the Rayleigh method for the cantilever beam un- derestimates the true vibration frequency. Refer to Figure 5 where y(x) is the approxi- mated displacement at location x and yˆ is the real displacement at location x. Assume that at all times the real displacements have this qualitative shape relative to Rayleigh’s approximation for displacements.