02 The angular position °c of a mass is controlled by a servo system thPough A reterence signal °r. The moment of inertia of moving parts referred to the load shaf J, is 150 keho and damping torque coefficient referred to the load shaft( B, is 4.5 x 10) Nw-m fodgn2 The torque developed by the motor at the load is 7.2 x 10* Nw-m per radian of error. (a) Obtain the response of the system to a step input of 1 rad and determine the peak. time, peak overshoot and frequency of transient oscillations. Also find the steady state error for à constant angular velocity of 1 revolution / minute. (b)If a steady torque of 1000 Nwm is applied at the load shaft, determine the steady state error. OR Kr s(Us+ B)

02 The angular position °c of a mass is controlled by a servo system thPough A reterence signal °r. The moment of inertia of moving parts referred to the load shaf J, is 150 keho and damping torque coefficient referred to the load shaft( B, is 4.5 x 10) Nw-m fodgn2 The torque developed by the motor at the load is 7.2 x 10* Nw-m per radian of error. (a) Obtain the response of the system to a step input of 1 rad and determine the peak. time, peak overshoot and frequency of transient oscillations. Also find the steady state error for à constant angular velocity of 1 revolution / minute. (b)If a steady torque of 1000 Nwm is applied at the load shaft, determine the steady state error. OR Kr s(Us+ B)

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Q2 The angular position c of a mass is controlled by a servo system through a referen
signal °r. The moment of inertia of moving parts referred to the load shaft, J, is 150 kebo
and damping torque coefficient referred to the load shafi(B, is 4.5 x 103 Nw-m fraden
The torque developed by the motor at the load s 7.2 x 10* Nw-m per radian of error
(a)Obtain the response of the system to a step input of 1 rad and determine the peak
time, peak overshoot and frequency of transient oscillations. Also find the steady
state error for à constant angular velocity of 1 revolution / minute.
(b)If a steady torque of 1000 Nwm is applied at the load shaft, determine the steady
Kan
state error.
5(J5+ B)
03 For the system shown, apply a proportional controller to move the time constant to a
sixth of its open loop value.
R(s) +
E(s)
U(s)
Kp
'Y(s)
s +0.333
10

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