If the force of Problem is concentrated at x = l/3, determine which modes will be absent in the solution
Problem
A siender rod of length I, free at x = 0 and fixed at x = I, is struck longitudinally by a time-varying force concentrated at the end x = 0.
Show that all modes are equally excited (i.e., that the mode-participation factor is independent of the mode number), the compIete solution being