Question: Problems 1 through 7 deal with the mass-and-spring system shown in Fig. 7.5.11 with stiffness matrix and with the given mks values for the masses

Problems 1 through 7 deal with the mass-and-spring system shown in Fig. 7.5.11 with stiffness matrix

K=[-1 -(k1 +k) k2 -K3)] k2 -(k + k3)

and with the given mks values for the masses and spring constants. Find the two natural frequencies of the system and describe its two natural modes of oscillation.

m1 = m2 = 1; k1 = 0, k2 = 2, k3 = 0 (no walls)

K=[-1 -(k1 +k) k2 -K3)] k2 -(k + k3)

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The matrix A has eigenvalues A 0 and 4 with associated eigenvectors v 11 and v 1 1 Thus we have ... View full answer

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