A pendulum that is powered via a series elastic actuator can be modelled as follows (simplified) Jy (double dot) + By (dot) + K(y-u) + mglsin (y) where y is output and u is input j = 0.2 [kgm^2] (Inertia) K = 60 [N.m/rad] (Spring stiffness) B = 0.05 [N.m.s/rad] (damping coefficient) g 9.81 [m/s^2] (gravitational acceleration) m = 2.5 [kg] (mass) 1 = 0.5 [m] (pendulum length) yo = 0.25 [rad] y0 (dot) = -0.2 [rad/s] = Simulate mechanical system using Matlab/Simulink when the input is a unit step Using a scope, plot the input and output.
A pendulum that is powered via a series elastic actuator can be modelled as follows (simplified) Jy (double dot) + By (dot) + K(y-u) + mglsin (y) where y is output and u is input j = 0.2 [kgm^2] (Inertia) K = 60 [N.m/rad] (Spring stiffness) B = 0.05 [N.m.s/rad] (damping coefficient) g 9.81 [m/s^2] (gravitational acceleration) m = 2.5 [kg] (mass) 1 = 0.5 [m] (pendulum length) yo = 0.25 [rad] y0 (dot) = -0.2 [rad/s] = Simulate mechanical system using Matlab/Simulink when the input is a unit step Using a scope, plot the input and output.
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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![A pendulum that is powered via a series elastic
actuator can be modelled as follows (simplified):
Jy (double dot) + By (dot) + K(y-u) + mglsin (y)
where y is output and u is input
= = 0
j = 0.2 [kgm^2] (Inertia)
to XL.
K = 60 [N.m/rad] (Spring stiffness)
B 0.05 [N.m.s/rad] (damping coefficient)
g 9.81 [m/s^2] (gravitational acceleration)
m =
2.5 [kg] (mass)
1
0.5 [m] (pendulum length)
=
=
yo = 0.25 [rad]
y0 (dot) = -0.2 [rad/s]
Simulate mechanical system using Matlab/Simulink
when the input is a unit step
Using a scope, plot the input and output.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0208078-e424-49a7-97a8-0d57afa23d8f%2F1eb44d3f-f1b3-4147-b733-00d0e7bd9756%2Fya7t3tp_processed.png&w=3840&q=75)
Transcribed Image Text:A pendulum that is powered via a series elastic
actuator can be modelled as follows (simplified):
Jy (double dot) + By (dot) + K(y-u) + mglsin (y)
where y is output and u is input
= = 0
j = 0.2 [kgm^2] (Inertia)
to XL.
K = 60 [N.m/rad] (Spring stiffness)
B 0.05 [N.m.s/rad] (damping coefficient)
g 9.81 [m/s^2] (gravitational acceleration)
m =
2.5 [kg] (mass)
1
0.5 [m] (pendulum length)
=
=
yo = 0.25 [rad]
y0 (dot) = -0.2 [rad/s]
Simulate mechanical system using Matlab/Simulink
when the input is a unit step
Using a scope, plot the input and output.
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