Derive the governing equations of motion of the system. Show all procedures including necessary free- body...

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Derive the governing equations of motion of the system. Show all procedures including necessary free- body diagrams. Find the transfer function from the input u, to the output x₂. Given that the system parameter values of m₁ = m₂ = 1, b= 1, k₁=1, k2=100, and k3=1, find the natural frequencies and damping ratios of the system. X₂ (s) Find the transfer function U₁ (s) displacement input is applied to the input u₁(t). 2 and describe the time response x₂ (t) when an impulsive Derive the governing equations of motion of the system. Show all procedures including necessary free- body diagrams. Find the transfer function from the input u, to the output x₂. Given that the system parameter values of m₁ = m₂ = 1, b= 1, k₁=1, k2=100, and k3=1, find the natural frequencies and damping ratios of the system. X₂ (s) Find the transfer function U₁ (s) displacement input is applied to the input u₁(t). 2 and describe the time response x₂ (t) when an impulsive