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In this system, there are two mass elements: m, and m₂. They are con- nected by a spring. m₁ is also connected to a massless rod, which can rotate at its midpoint. The other end of this massless rod is connected to another massless rod, which is connected to the ground through a spring and a damper. This configuration forms the basis of the system. You may assume small deflections for this problem and that the vertical connections are rigid links. When the coordinates y₁, 92, y are equal to zero, the gravi- tational force on the masses is covered by springs (the system is at its static deflection). Two input forces, fi and f2, are applied on the masses m₁ and m₂ respectively. HINT: You should not consider the gravity force in your solution. Your tasks: ondir Y₁ Draw the FBD for each mass (one for each of m₁ and m2 Derive the equations of motion for the masses with y₁ and 2 as the y₂ dynamic variables. Please put the dynamic variables on the left- hand side and the input terms on the right-hand side. ( fil m₁ ww m2 f2 a K₂ a ww C Figure 1: System schematic.

In this system, there are two mass elements: m, and m₂. They are con- nected by a spring. m₁ is also connected to a massless rod, which can rotate at its midpoint. The other end of this massless rod is connected to another massless rod, which is connected to the ground through a spring and a damper. This configuration forms the basis of the system. You may assume small deflections for this problem and that the vertical connections are rigid links. When the coordinates y₁, 92, y are equal to zero, the gravi- tational force on the masses is covered by springs (the system is at its static deflection). Two input forces, fi and f2, are applied on the masses m₁ and m₂ respectively. HINT: You should not consider the gravity force in your solution. Your tasks: ondir Y₁ Draw the FBD for each mass (one for each of m₁ and m2 Derive the equations of motion for the masses with y₁ and 2 as the y₂ dynamic variables. Please put the dynamic variables on the left- hand side and the input terms on the right-hand side. ( fil m₁ ww m2 f2 a K₂ a ww C Figure 1: System schematic.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please show all work for FBD and equatiosn

In this system, there are two mass elements: m₁ and m₂. They are con- nected by a spring. m₁ is also connected to a massless rod, which can rotate at its midpoint. The other end of this massless rod is connected to another massless rod, which is connected to the ground through a spring and a damper. This configuration forms the basis of the system. You may assume small deflections for this problem and that the vertical connections are rigid links. When the coordinates y₁, y2, y are equal to zero, the gravi- tational force on the masses is covered by springs (the system is at its static deflection). Two input forces, fi and f2, are applied on the masses m₁ and m2 respectively. HINT: You should not consider the gravity force in your solution. Your tasks: ponding Y₁ Draw the FBD for each mass (one for each of m₁ and m2 . Derive the equations of motion for the masses with y₁ and y2 as the y₂ dynamic variables. Please put the dynamic variables on the left- hand side and the input terms on the right-hand side. f₁ m₁ m₂ f2 a a Figure 1: System schematic.
Transcribed Image Text:In this system, there are two mass elements: m₁ and m₂. They are con- nected by a spring. m₁ is also connected to a massless rod, which can rotate at its midpoint. The other end of this massless rod is connected to another massless rod, which is connected to the ground through a spring and a damper. This configuration forms the basis of the system. You may assume small deflections for this problem and that the vertical connections are rigid links. When the coordinates y₁, y2, y are equal to zero, the gravi- tational force on the masses is covered by springs (the system is at its static deflection). Two input forces, fi and f2, are applied on the masses m₁ and m2 respectively. HINT: You should not consider the gravity force in your solution. Your tasks: ponding Y₁ Draw the FBD for each mass (one for each of m₁ and m2 . Derive the equations of motion for the masses with y₁ and y2 as the y₂ dynamic variables. Please put the dynamic variables on the left- hand side and the input terms on the right-hand side. f₁ m₁ m₂ f2 a a Figure 1: System schematic.
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