Question: Find the eigen values and eigen vectros for a rod. If a rod is free at both ends. If a rod is fixed at both

Find the eigen values and eigen vectros for a rod.

  1. If a rod is free at both ends.
  2. If a rod is fixed at both ends.

j=1,2,3,(positive integers)

c=square root of E (wave speed)

l= length of the rod

E=Young's modulus

= density

=mass density

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