uestion 2 A rotational mechanical system is described by the 2nd order differential equation, d²e(t) dt2 d0(t) + KO(t) = T,(t) dt +B where T:(t) is the input torque, 0(t) is the output angular displacement and J, B and K are the system inertia, damping constant and spring constant respectively. The system is initially at rest, i.e. 0(t) = de(t) O and = 0. At time t = 0, the input torque to the system undergoes a step change from 0 to dt 12 Nm. The resultant angular displacement of the system due to the applied torque is shown on Figure Q2. () Find the spring constant 'K', the damping ratio 'c', system Inertia 'J' and damping constant 'B'. (ii) Write the system transfer function. (ii) What is the system undamped natural frequency? 0.12 0.1 0.06 0.02 2.5 3.5 4.5 Figure 02 Displacement (rad)

uestion 2 A rotational mechanical system is described by the 2nd order differential equation, d²e(t) dt2 d0(t) + KO(t) = T,(t) dt +B where T:(t) is the input torque, 0(t) is the output angular displacement and J, B and K are the system inertia, damping constant and spring constant respectively. The system is initially at rest, i.e. 0(t) = de(t) O and = 0. At time t = 0, the input torque to the system undergoes a step change from 0 to dt 12 Nm. The resultant angular displacement of the system due to the applied torque is shown on Figure Q2. () Find the spring constant 'K', the damping ratio 'c', system Inertia 'J' and damping constant 'B'. (ii) Write the system transfer function. (ii) What is the system undamped natural frequency? 0.12 0.1 0.06 0.02 2.5 3.5 4.5 Figure 02 Displacement (rad)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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