Figure 5.4.13 shows two railway cars with a buffer spring. We want to investigate the transfer of momentum that oc- curs after car 1 with initial velocity vo impacts car 2 at rest. The analog of Eq....

Solve the Matrix problem.

Extracted text: Figure 5.4.13 shows two railway cars with a buffer spring. We want to investigate the transfer of momentum that oc- curs after car 1 with initial velocity vo impacts car 2 at rest. The analog of Eq. (18) in the text is x" -C1 C1 C2 -c2 with c; = k/m; for i = 1, 2. Show that the eigenvalues of the coefficient matrix A are 11 = 0 and 12 = -c1- c2, with associated eigenvectors Vị = [1 1]' and v2 = [c1 -c2]". -C2 xj'(0) = 0 x2'(0) = 0 k тi т2 oo.0.0 o0..O1 FIGURE 5.4.13. The two railway cars of