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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For the 3-DOF Industrial manipulator arm as shown in Figure 1,  determine the joint displacements using inverse kinematics approach for known position and orientation of the end of the arm point.

 

The link transformation matrices are given by 

C0 -S
Si 0 -C
C, -S2 0 aąC2
S2 C
-S 0 azC3
C3
C3
1
0 1
di
0 0
1
CCC3 - CS2S -C\C2S3 - CS2S3
CC2a3 + Ciaz
S,CC3- S, S2S -S,C,S3- S SC3 -C SC243 + Sa2
Szaz + di
°T3 = T, 'T, T, =
S,C3 +C2S3
-S2S3 + C,C3
Transcribed Image Text:C0 -S Si 0 -C C, -S2 0 aąC2 S2 C -S 0 azC3 C3 C3 1 0 1 di 0 0 1 CCC3 - CS2S -C\C2S3 - CS2S3 CC2a3 + Ciaz S,CC3- S, S2S -S,C,S3- S SC3 -C SC243 + Sa2 Szaz + di °T3 = T, 'T, T, = S,C3 +C2S3 -S2S3 + C,C3
0,
a3
0,
a2
az
0,
Transcribed Image Text:0, a3 0, a2 az 0,
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