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A machine tool, having a mass of 1000 kg and a mass moment of inertia of J= 300 kg-m^2, is supported on elastic supports, as

A machine tool, having a mass of 1000 kg and a mass moment of inertia of J= 300 kg-m^2, is supported on elastic supports, as shown. If the stiffness of the supports are given by k1=3000 N/mm and k2= 2000 N/mm, and the supports are located at l1=0.5 m and l2= 0.8m, find the natural frequencies and mode shapes of the machine tool.m, 8k k2 412

m, Jo k2

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