Figure 5.4.13 shows two railway cars with a buffer spring.
Chapter , Problem 16(choose chapter or problem)
Figure 5.4.13 shows two railway cars with a buffer spring. We want to investigate the transfer of momentum that occurs after car 1 with initial velocity v0 impacts car 2 at rest. The analog of Eq. (18) in the text is x00 D c1 c1 c2 c2 x with ci D k=mi for i D 1, 2. Show that the eigenvalues of the coefficient matrix A are 1 D 0 and 2 D c1 c2, with associated eigenvectors v1 D 1 1 T and v2 D c1 c2 T . k
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