In the following vibration system, disk 2 rolls on a non-slip part with uniform mass distribution and radius R. The mass of disk 2 and parts 1 and 3 is m. If x1 and x2 are the absolute displacement of part 1 and hinge A, respectively, A) Get the differential equations of motion using Lagrange equations. (I ̅_Disk=1/2 mr^2) B) Write what kind of couplings there are

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In the following vibration system, disk 2 rolls on a non-slip part with uniform mass distribution and radius R. The mass of disk 2 and parts 1 and 3 is m. If x1 and x2 are the absolute displacement of part 1 and hinge A, respectively,
A) Get the differential equations of motion using Lagrange equations. (I ̅_Disk=1/2 mr^2)
B) Write what kind of couplings there are.

In the following vibration system, disk 2 rolls on a non-slip part with uniform
mass distribution and radius R. The mass of disk 2 and parts 1 and 3 is m.
If x1 and x2 are the absolute displacement of part 1 and hinge A,
respectively,
A) Get the differential equations of motion using Lagrange equațions.
(Tnisk =mr?)
B) Write what kind of couplings there are.
2m
3.
k
m
A
k
1
19m
2.
Transcribed Image Text:In the following vibration system, disk 2 rolls on a non-slip part with uniform mass distribution and radius R. The mass of disk 2 and parts 1 and 3 is m. If x1 and x2 are the absolute displacement of part 1 and hinge A, respectively, A) Get the differential equations of motion using Lagrange equațions. (Tnisk =mr?) B) Write what kind of couplings there are. 2m 3. k m A k 1 19m 2.
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