2.23 Figure P2.23 shows a dual-disk mechanical system with two flexible shafts represented by torsional spring constants k, and k₂, respectively. Disk J₁ experiences viscous friction b and input torque Tin is applied directly to disk J₁. Both angular positions (0₁ and 0₂) are measured from the untwisted or equilibrium position. Derive the complete mathematical model of this system. 02 0₁ /Torque, Tin Disk, J₁ Figure P2.23 Flexible shaft, k₁ Viscous friction, b Disk, J₂ Flexible shaft, k₂

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2.23 Figure P2.23 shows a dual-disk mechanical system with two flexible shafts represented by
torsional spring constants k₁ and k₂, respectively. Disk J₁ experiences viscous friction b and input
torque Tin is applied directly to disk J₁. Both angular positions (0₁ and 0₂) are measured from the
untwisted or equilibrium position. Derive the complete mathematical model of this system.
02
0₁
Torque, Tin
Disk, J₁
Figure P2.23
Flexible
shaft, k₁
Viscous
friction, b
Disk, J₂
Flexible
shaft, k₂
Transcribed Image Text:2.23 Figure P2.23 shows a dual-disk mechanical system with two flexible shafts represented by torsional spring constants k₁ and k₂, respectively. Disk J₁ experiences viscous friction b and input torque Tin is applied directly to disk J₁. Both angular positions (0₁ and 0₂) are measured from the untwisted or equilibrium position. Derive the complete mathematical model of this system. 02 0₁ Torque, Tin Disk, J₁ Figure P2.23 Flexible shaft, k₁ Viscous friction, b Disk, J₂ Flexible shaft, k₂
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