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he outputs. K₁ 10000 B 0₁ D K₂ oooo Figure 1 T 015 12

he outputs. K₁ 10000 B 0₁ D K₂ oooo Figure 1 T 015 12

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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Consider the torsional mass-spring system in Figure 1. The mass moments of inertia of the two disks are 1₁ and 12, respectively. The massless torsional springs represent the elasticity of the shafts. A. Draw the necessary free-body diagrams and derive the differential equations of motion. Provide the equations in the second-order matrix form. B. Determine the transfer functions 0₁ (s)/T(s). All the initial conditions are assumed to be zero. C. Determine the state-space representation with the angular displacements 01 and 02 as the outputs. K₁ T mooo K₂ Fimfi f Di mm 12₂ B Figure 1
Transcribed Image Text:Consider the torsional mass-spring system in Figure 1. The mass moments of inertia of the two disks are 1₁ and 12, respectively. The massless torsional springs represent the elasticity of the shafts. A. Draw the necessary free-body diagrams and derive the differential equations of motion. Provide the equations in the second-order matrix form. B. Determine the transfer functions 0₁ (s)/T(s). All the initial conditions are assumed to be zero. C. Determine the state-space representation with the angular displacements 01 and 02 as the outputs. K₁ T mooo K₂ Fimfi f Di mm 12₂ B Figure 1
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