stiffness matrix is In a free undamped system, the modal mass matrix is M =...

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stiffness matrix is Φ In a free undamped system, the modal mass matrix is M = -1 0.5 0.5 0.5 -0.5 K_= P -69] 3] 0 3 1 0 12 " the modal and the inverse of the modal matrix is The initial velocity of the system is x =[-4,2] and the initial displacement is x₁ = [0,0]. (1) Determine the initial velocity in the modal coordinates P (6 pts). (2) Determine the natural angular frequencies of the system (4 pts). (3) Determine the response of the system in the original coordinates, which is x (t) (10 pts). stiffness matrix is Φ In a free undamped system, the modal mass matrix is M = -1 0.5 0.5 0.5 -0.5 K_= P -69] 3] 0 3 1 0 12 " the modal and the inverse of the modal matrix is The initial velocity of the system is x =[-4,2] and the initial displacement is x₁ = [0,0]. (1) Determine the initial velocity in the modal coordinates P (6 pts). (2) Determine the natural angular frequencies of the system (4 pts). (3) Determine the response of the system in the original coordinates, which is x (t) (10 pts).