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16 lines
607 B
TeX
16 lines
607 B
TeX
\subsection{Inverse Kinematics (IK)}
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\begin{wrapfigure}[10]{r}{0.4\columnwidth}
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\includegraphics[width=0.4\columnwidth]{assets/inverse-kinematics.png}
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\end{wrapfigure}
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\bi{Option}: Solve Forward Kinematics for angles.\\
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\bi{Better}: Law of cosine with polar coordinates. Compute angle using cosine rule,\\
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$\theta_1 = \phi \pm \alpha$, $\theta_2 = \pm(\pi - \beta)$
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(Positive for {\color{ForestGreen} Elbow Down}, Negative for {\color{red} Elbow Up})
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\bi{Extension to 6R}:
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1. Waist: spherical coords (2 sol.)\\
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2. 2 sols from 2R for shoulder + elbow\\
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3. Solve for wrist joints (no influence on pos)
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