In  the following problem, find the natural frequencies of the three-mass system of Fig (Attached), using the given masses and spring constants. For each natural frequency ω, give the ratio a1:a2:a3 of amplitudes for a corresponding natural modex1 = a1 cos ωt, x2 =a2 cos ωt, x3 =a3 cos ωt m1 =m2 =m3 =1; k1 =k2 = k3 D k4 =2

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