Represent the translational mechanical system shown in Figure Q.2 in state space equation, where x₂ (t) is the output and f(t) is the input. Given spring constant as k₁ = 1 N/m, mass m₁ = 8 kg, m₂ = 3 kg and damper constant as fv1 = 4 Ns/m, fv2 = 16 Ns/m, fv3 = fv4= 5 Ns/m. Determine the state space representation of the system using x₁ (t), x₂ (t) and their first derivatives as state variables. m₂ x₁ (t) fot 0000 f(t) x₂ (1) m₂ for Figure Q2 Translational mechanical system frictionless

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QUESTION 2
Represent the translational mechanical system shown in Figure Q.2 in state space equation,
where x₂ (t) is the output and f(t) is the input. Given spring constant as k₁ = 1 N/m, mass
m₁ = 8 kg, m₂ = 3 kg and damper constant as fv1 = 4 Ns/m, fv2 = 16 Ns/m, fv3 = fv4=
5 Ns/m. Determine the state space representation of the system using x₁ (t), x₂ (t) and their
first derivatives as state variables.
=
m₂
x₁ (t)
for
0000
f(t)
x₂ (t)
M2
fu3
fuz
fur
Figure Q2 Translational mechanical system
frictionless
Transcribed Image Text:QUESTION 2 Represent the translational mechanical system shown in Figure Q.2 in state space equation, where x₂ (t) is the output and f(t) is the input. Given spring constant as k₁ = 1 N/m, mass m₁ = 8 kg, m₂ = 3 kg and damper constant as fv1 = 4 Ns/m, fv2 = 16 Ns/m, fv3 = fv4= 5 Ns/m. Determine the state space representation of the system using x₁ (t), x₂ (t) and their first derivatives as state variables. = m₂ x₁ (t) for 0000 f(t) x₂ (t) M2 fu3 fuz fur Figure Q2 Translational mechanical system frictionless
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