Problem deal with the mass-and-spring system shown in Fig. 5.4.11 with stiffness matrix -(k1 + k2) k2 k2 -(k2 + k3) K = and with the given mks values for the masses and spring con- stants. Find the two natural frequencies of the system and de- scribe its two natural modes of oscillation. k1 т k, k3 т, х1 FIGURE 5.4.11.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Find the two natural frequencies of the system and describe its two natural modes of oscillation. See Attachment for assistance

 m1 = 1, m2 = 2; k1 = 2, k2 = k3 = 4

Problem deal with the mass-and-spring system
shown in Fig. 5.4.11 with stiffness matrix
-(k1 + k2)
k2
k2
-(k2 + k3)
K =
and with the given mks values for the masses and spring con-
stants. Find the two natural frequencies of the system and de-
scribe its two natural modes of oscillation.
k1
т
k,
k3
т,
х1
FIGURE 5.4.11.
Transcribed Image Text:Problem deal with the mass-and-spring system shown in Fig. 5.4.11 with stiffness matrix -(k1 + k2) k2 k2 -(k2 + k3) K = and with the given mks values for the masses and spring con- stants. Find the two natural frequencies of the system and de- scribe its two natural modes of oscillation. k1 т k, k3 т, х1 FIGURE 5.4.11.
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