Analytical Problem / MATLAB Problem:
Analytical Problem / MATLAB Problem: A heavy machine tool mounted on the first floor of a building has been modeled as a three-degree-offreedom system as indicated in figure. For k1 = 875 kN/m, k2 = 87 kN/m, k3 = 350 kN/m, c1 = c2 = c3 = 2000 N-s/m, mf = 8700 kg, mb = 1800 kg, mh = 350 kg, and F(t) = 4000 cos 60t N: a) Derive the equations of motion of the system. b) Using MATLAB, determine the natural frequencies of the system and mode shapes. c) Find the decoupled modal equations.
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