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6. A torsional spring of stiffness K is 1 Nm/rad, a mass of moment of inertia I = 1 kg.m² and a fluid damper with damping coefficient C=2 Nm s/rad are connected together as shown in Figure. The angular displacement of the free end of the spring is 0 (t) and the angular displacement of the mass and damper is 0,(t). The transfer function of this system is given. Find the state space representation of the system. 0,(s) K/I 0₁ (s) C K s²+75+7 0,(t) 8(t) 1 K

6. A torsional spring of stiffness K is 1 Nm/rad, a mass of moment of inertia I = 1 kg.m² and a fluid damper with damping coefficient C=2 Nm s/rad are connected together as shown in Figure. The angular displacement of the free end of the spring is 0 (t) and the angular displacement of the mass and damper is 0,(t). The transfer function of this system is given. Find the state space representation of the system. 0,(s) K/I 0₁ (s) C K s²+75+7 0,(t) 8(t) 1 K

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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6. A torsional spring of stiffness K is 1 Nm/rad, a mass of moment of inertia I = 1 kg.m² and a fluid damper with damping coefficient C=2 Nm s/rad are connected together as shown in Figure. The angular displacement of the free end of the spring is 0 (t) and the angular displacement of the mass and damper is 0,(t). The transfer function of this system is given. Find the state space representation of the system. 0,(s) K/I 0₁(s) C K s² + √5 + 1/² 0₂ (1) 1 K
Transcribed Image Text:6. A torsional spring of stiffness K is 1 Nm/rad, a mass of moment of inertia I = 1 kg.m² and a fluid damper with damping coefficient C=2 Nm s/rad are connected together as shown in Figure. The angular displacement of the free end of the spring is 0 (t) and the angular displacement of the mass and damper is 0,(t). The transfer function of this system is given. Find the state space representation of the system. 0,(s) K/I 0₁(s) C K s² + √5 + 1/² 0₂ (1) 1 K
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