FORWARD KINEMATICS RR ROBOT X2 = x,+ L2 cos (0) (x2. Y2) Ja-e L2 Y2 = Y + L, sin (0) (x1. y1) x = x, + L3 cos (a - 0) L1 y = y2-L3 sin (a – 0) %3D REVERSE KINEMATICS x = x1+ L2 cos (0) + L3 cos (a – 0) y = y, + L2 sin (0) – Lz sin (a – 0) i Combining the above two equation. [(x – x,)² + (v – y,)? – L - L 2LL (y - y,) (L2 + L, cos (a)) + (x – x,) Lg sin (a) (x - x,) (L2 + L3 cos (a)) – (y – y,) L, sin (a) cos (a) tan (0)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Write a method and steps in which we derived reverse kinematic equations ??
FORWARD KINEMATICS
RR ROBOT
X2 = x, + L2 cos (0)
J2
(x2. Y2)
Ja-e
L3
L2
2 = Y + L, sin (0)
(x, y)
(x1. Y1)
X2
+ L3 cos (a- 0)
L1
y = y2- L3 sin (a – 0)
REVERSE KINEMATICS
x = x+ L2 cos (0) + L, cos (a – 0)
y
= yı + L2 sin (0) – L, sin (a – 0)
Combining the above two equation.
[(x – x,)² + (y – y,)? – L; - L;
cos (a)
2 L L,
(v – yı) (L2 + L3 cos (a)) + (x – x,) L3 sin (a)
(x – x,) (L2 + L3 cos (a)) – (y – y1) Lz sin (a)
tan (0) =
Transcribed Image Text:FORWARD KINEMATICS RR ROBOT X2 = x, + L2 cos (0) J2 (x2. Y2) Ja-e L3 L2 2 = Y + L, sin (0) (x, y) (x1. Y1) X2 + L3 cos (a- 0) L1 y = y2- L3 sin (a – 0) REVERSE KINEMATICS x = x+ L2 cos (0) + L, cos (a – 0) y = yı + L2 sin (0) – L, sin (a – 0) Combining the above two equation. [(x – x,)² + (y – y,)? – L; - L; cos (a) 2 L L, (v – yı) (L2 + L3 cos (a)) + (x – x,) L3 sin (a) (x – x,) (L2 + L3 cos (a)) – (y – y1) Lz sin (a) tan (0) =
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