7.The following system is given an initial displacement of u=[0.0 0.5]. a) Determine the natural frequencies,...

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7.The following system is given an initial displacement of u=[0.0 0.5]. a) Determine the natural frequencies, mode shapes, b) The motion of the blocks in free vibration, c) Show that the mode shapes are orthogonal with respect to mass and stiffness matrices. k 10k 5m m u 7.The following system is given an initial displacement of u=[0.0 0.5]. a) Determine the natural frequencies, mode shapes, b) The motion of the blocks in free vibration, c) Show that the mode shapes are orthogonal with respect to mass and stiffness matrices. k 10k 5m m u