A rotational mechanical system is described by the 2nd order differential equation, d²e(t) de(t) +B- dt + KO(t) = T,(t) dt2 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) = O and d0(t) = 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. (1) 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? pisplacement,response of rotational mechanical systam 0.12 0.1 .0.08 0.06 60.04 0.02 0.5 1. 1.5 2 2.5 3 3.5 4 4.5 5 Time (seconds) Figure Q2 Displacement (rad)

A rotational mechanical system is described by the 2nd order differential equation, d²e(t) de(t) +B- dt + KO(t) = T,(t) dt2 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) = O and d0(t) = 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. (1) 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? pisplacement,response of rotational mechanical systam 0.12 0.1 .0.08 0.06 60.04 0.02 0.5 1. 1.5 2 2.5 3 3.5 4 4.5 5 Time (seconds) Figure Q2 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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A:FAI 45.ll Asiacell docs.google.com/forms O Untitled form مطلوب Untitled section نقطتان )2( The transient response does not die out if the damping * ratio is greater than one True False نقطتان )2( The type of any system is equivalent to the number of integrator in the * characteristic equation true False