Figure 1.b shows a Translational Mechanical System. If an external force f(t) is applied mass M₁, find: i. The differential equations of motion for the system ii. The Transfer Function G(s)=X₂(s)/F(s) The variables x₁(t) and x2(t) refer to linear displacement of the motion toward the [Assume all initial conditions are equal to zero] x₂(t) RRRRRREFEREFEREFTERFORS 4 N/m 6 N/m 0000 0000 3 N-s/m M₂=7 kg 7 N/m 0000 2 N-s/m M₁= 10 kg x₂(t) 5 N-s/m

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Figure 1.b shows a Translational Mechanical System. If an external force f(t) is applied to the
mass M₁, find:
i.
ii.
The differential equations of motion for the system
The Transfer Function G(s)=X₂(s)/F(s)
The variables x₁(t) and x₂(t) refer to linear displacement of the motion toward the right.
[Assume all initial conditions are equal to zero]
x₂(t)
4 N/m
6 N/m
0000
0000
3 N-s/m
M₂=7 kg
7 N/m
0000
2 N-s/m
M₁ = 10 kg
x₂(t)
f(t)
5 N-s/m
Transcribed Image Text:Figure 1.b shows a Translational Mechanical System. If an external force f(t) is applied to the mass M₁, find: i. ii. The differential equations of motion for the system The Transfer Function G(s)=X₂(s)/F(s) The variables x₁(t) and x₂(t) refer to linear displacement of the motion toward the right. [Assume all initial conditions are equal to zero] x₂(t) 4 N/m 6 N/m 0000 0000 3 N-s/m M₂=7 kg 7 N/m 0000 2 N-s/m M₁ = 10 kg x₂(t) f(t) 5 N-s/m
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