HW # 2-3 : Consider the following inverted pendulum. a) Obtain the differential equation describing the system. e sin 0 b) Find the transfer function. m c) Obtain the state equation in terms of vector-matrix form. e cos 0 mg the center of gravity of the pendulum as (xG, YG). Then P XG = x + l sin 0 M YG I cos e %3D
HW # 2-3 : Consider the following inverted pendulum. a) Obtain the differential equation describing the system. e sin 0 b) Find the transfer function. m c) Obtain the state equation in terms of vector-matrix form. e cos 0 mg the center of gravity of the pendulum as (xG, YG). Then P XG = x + l sin 0 M YG I cos e %3D
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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Question
![HW # 2-3 : Consider the following
inverted pendulum.
a) Obtain the differential equation
describing the system.
e sin 0
b) Find the transfer function.
m
c) Obtain the state equation in terms of
vector-matrix form.
e cos 0
mg
the center of gravity of the pendulum
as (xG, YG). Then
P
XG = x + l sin 0
M
YG
I cos e
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa475afbc-46ef-4b28-b1fd-e4662706807c%2F2ba806aa-6177-471b-9e23-7f607739595c%2F4ik221s_processed.png&w=3840&q=75)
Transcribed Image Text:HW # 2-3 : Consider the following
inverted pendulum.
a) Obtain the differential equation
describing the system.
e sin 0
b) Find the transfer function.
m
c) Obtain the state equation in terms of
vector-matrix form.
e cos 0
mg
the center of gravity of the pendulum
as (xG, YG). Then
P
XG = x + l sin 0
M
YG
I cos e
%3D
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