Question 5: A model for a single joint of a robotic manipulator is shown in Figure below. The usual notation is used. The gear inertia is neglected and the gear reduction ratio is taken as 1:r (Note: r < 1). a) Draw a linear graph for the model, assuming that no external (load) torque is present at the robot arm. b) Using the linear graph derive a state model for this system. The input is the motor magnetic torque Tm and the output is the angular speed @, of the robot arm. What is the order of the system? m k J, J, m m b. m (viscous) 7 1:r Motor Robot Arm Gear Box (Light)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Question 5:
A model for a single joint of a robotic manipulator is shown in Figure below. The usual notation is used.
The gear inertia is neglected and the gear reduction ratio is taken as 1:r (Note: r < 1).
a) Draw a linear graph for the model, assuming that no external (load) torque is present at the robot
arm.
b) Using the linear graph derive a state model for this system. The input is the motor magnetic torque
Tm and the output is the angular speed o, of the robot arm. What is the order of the system?
Jm
m
(viscous)
1:r
Motor
Robot Arm
Gear Box
(Light)
Transcribed Image Text:Question 5: A model for a single joint of a robotic manipulator is shown in Figure below. The usual notation is used. The gear inertia is neglected and the gear reduction ratio is taken as 1:r (Note: r < 1). a) Draw a linear graph for the model, assuming that no external (load) torque is present at the robot arm. b) Using the linear graph derive a state model for this system. The input is the motor magnetic torque Tm and the output is the angular speed o, of the robot arm. What is the order of the system? Jm m (viscous) 1:r Motor Robot Arm Gear Box (Light)
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