Using the results of Problems 6.24 and 6.56, determine the modal matrix \([X]\) of the system shown in Fig. 6.29 and derive the uncoupled equations of motion.

Data From Problem 6.24:-

Find the flexibility and stiffness influence coefficients of the system shown in Fig. 6.29. Also, derive the equations of motion of the system.

Data From Problem 6.56:-

Determine the eigenvalues and eigenvectors of the system shown in Fig. 6.29, taking \(k_{1}=k_{2}=k_{3}=k_{4}=k\) and \(m_{1}=m_{2}=m_{3}=m\).

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k1 k3 k4 000 /711 000 m2 000 my 000 FIGURE 6.29 Spring-mass system.