1.- A mechanical gyroscope with one degree of freedom is governed by the differential equation Next: dex d²0x+Dx dt Jx dt doz + Kx0x=Jw dt where the angular position (rad) at z is the input to the system. a) Determine the transfer function of the gyroscope (angular position at x with respect to the angular position in z), considering Jx=3, Dx=0.5, Kx=2, J=0.5 and w=1. b) Shows a graph of the behavior of the angle at x when an input is applied step of 10 rad in the angle z. c) Analyze the stability of the system according to the roots in the complex plane.
1.- A mechanical gyroscope with one degree of freedom is governed by the differential equation Next: dex d²0x+Dx dt Jx dt doz + Kx0x=Jw dt where the angular position (rad) at z is the input to the system. a) Determine the transfer function of the gyroscope (angular position at x with respect to the angular position in z), considering Jx=3, Dx=0.5, Kx=2, J=0.5 and w=1. b) Shows a graph of the behavior of the angle at x when an input is applied step of 10 rad in the angle z. c) Analyze the stability of the system according to the roots in the complex plane.
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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Transcribed Image Text:1.- A mechanical gyroscope with one degree of
freedom is governed by the differential equation
Next:
dox
d²0x+Dx dt
Jx dt
+ Kx0x=Jw
dez
dt
Bearing
where the angular position (rad) at z is the input to
the system.
a) Determine the transfer function of the gyroscope
(angular position at x with respect to
the angular position in z), considering Jx=3,
Dx=0.5, Kx=2, J=0.5 and w=1.
b) Shows a graph of the behavior of the angle at x
when an input is applied
step of 10 rad in the angle z.
c) Analyze the stability of the system according to
the roots in the complex plane.
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