Consider the rocket on a test stand as described in Chapter 3 of the lecture notes. The
nose of the rocket is fixed. The rocket is of length L, constant EA and constant m, mass
per unit length. To investigate longitudinal dynamics, the rocket is modeled using axial
elements of equal length.
Determine the natural frequencies and the natural modes using a model with six elements
of equal length. Compare the results with those for the three-element model given in the
lecture notes as well as the exact solution. Comment on the accuracy of the natural
frequencies and the natural modes as the number of elements increases.