Q4. For the system shown below in which m=5 kg, k =50 kN/m, the governing equations has been derived as 2mx₁ + 2kx₁kx₂ =

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Q4 For The System Shown Below In Which M 5 Kg K 50 Kn M The Governing Equations Has Been Derived As 2mx 2kx Kx 1 (33.53 KiB) Viewed 7 times

Q4. For the system shown below in which m=5 kg, k =50 kN/m, the governing equations has been derived as 2mx₁ + 2kx₁kx₂ = 0 2mx₂ - kx₁ + 3kx₂ = 0 (1) Find its natural frequencies. (2) Determine the associated vibration mode shapes. (3) Obtain the vibration response if the initial conditions are given as x₁ (0) = -0.001, x₂(0) = 0.001 m, x₁(0) = x₂(0) = 0 - x2 2m 2m. Lü 2k M