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)
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
Section: Chapter Questions
Problem 1.1MA
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