The following mass-and-spring system has stiffness matrix K. For the mks values, find the two natural frequencies of the system and describe its two natural modes of oscillation. k wwwww m m wwwwww wwwwww K= m = m = 4; k, = 4, K = 16, K = 4 - (K +K) Let @

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The following mass-and-spring system has stiffness matrix K. For the mks values, find the two natural frequencies of the system and describe its two natural modes of oscillation. k wwwww m m wwwwww wwwwww K= m = m = 4; k, = 4, K = 16, K = 4 - (K +K) Let @ <0 be the two natural frequencies @ = @ = (Type exact answers, using radicals as needed.) k -(K + K3) The following mass-and-spring system has stiftess matrixK. For the miks values, find the two natural frequencies of the system and describe its fwo natural modes of oscilation. m1=m2=4,k1=4,k2=16,k3=4 Let 12 be the two natural frequencies a1=a2= (Type exact answers, using radicals as needed.)

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