Derive the linearized equation of mutation for the 2 DOF sys

Derive the linearized equation of mutation for the 2 DOF system shown in figure P4, 11. Find the natural frequencies and eigenvectors. m_1 = 30kg, m_2 = 2kg, k_1 = 15N/m, l = 2m.

Solution

The natural frequency of the given diagram is 45 hertz.

The degree of freedom is 3 .

The value of eigen vectors is 2,8,6.