Consider a 2 mass - 3 spring - 3 damping system shown in the figure. The...

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Consider a "2 mass - 3 spring - 3 damping system" shown in the figure. The differential equations of the mathematical model are obtained as, mi d²x₁ dt² d²xz dt² + (b₁ + b₂) dx₁ m₂. dt with the initial conditions of - b₂ . dx1 dxz dt dt - b₂ - . . ·+ (b₂ + b3) · dx2 dt m 100 m₂ OC Your Excel file should have explanations also. +(k₁+k₂) x₁-k₂ x2 = 0 . -K₂ · X₁ + (K₂ + K3) · x₂ = 0 x₁ (0) > 0, x₂ (0) > 0, x₁ (0) = 0, x₂ (0) = 0 Decide about the parameters of this system and the initial positions of the masses by yourself. Numerically obtain the response of this system by using Runge-Kutta method for 0 ≤t≤ 10 s time period with 4t = 0.01 s (by using Microsoft Excel®). Plot the positions and speeds of the masses with respect to time. Hint: You should have 4 first order differential equations from the given ones. Use Runge-Kutta equations in the vectoral format by taking Y Consider a "2 mass - 3 spring - 3 damping system" shown in the figure. The differential equations of the mathematical model are obtained as, mi d²x₁ dt² d²xz dt² + (b₁ + b₂) dx₁ m₂. dt with the initial conditions of - b₂ . dx1 dxz dt dt - b₂ - . . ·+ (b₂ + b3) · dx2 dt m 100 m₂ OC Your Excel file should have explanations also. +(k₁+k₂) x₁-k₂ x2 = 0 . -K₂ · X₁ + (K₂ + K3) · x₂ = 0 x₁ (0) > 0, x₂ (0) > 0, x₁ (0) = 0, x₂ (0) = 0 Decide about the parameters of this system and the initial positions of the masses by yourself. Numerically obtain the response of this system by using Runge-Kutta method for 0 ≤t≤ 10 s time period with 4t = 0.01 s (by using Microsoft Excel®). Plot the positions and speeds of the masses with respect to time. Hint: You should have 4 first order differential equations from the given ones. Use Runge-Kutta equations in the vectoral format by taking Y

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thats why The calculated positions and velocities show that both masses start ... View the full answer