T14 - Masses - V3.3¶
Warning
The Masses as well as the Center of Mass positions taken in account in the robot models have been updated in order to remove the slight dissymmetry between left and right limbs.
Legend¶
This page details, for each solid (S) of a robot, the Mass, Center of Mass and Inertial matrix.

![\text{CoM(S)} = \left[\begin{array}{c}
X_G \\ Y_G \\ Z_G
\end{array} \right]_{(o, R)} \text{(m)}](../../_images/math/24330a4dd46550ba4b30a2117a2f2a91acbf88de.png)
![\left[I_o(S)\right]_R = \left[\begin{array}{ccc}
I_{xx} & I_{xy} & I_{xz} \\
I_{yx} & I_{yy} & I_{yz} \\
I_{zx} & I_{zy} & I_{zz}
\end{array}\right]_R (\text{kg}*\text{m}^2)](../../_images/math/b9079a9d4c4d9fed9f05d8f905812260c08c86b5.png)
The Center of Mass position and the Inertial matrix are described relative to the local coordinate system of the current solid (S) (o, R).
All solids (S) and local coordinate system are described relative to the zero posture: with straight arms pointing forwards.
Whole robot¶



![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00544 \\
0.00000 \\
-0.01049
\end{array}
\right]_{(o, R)}](../../_images/math/9177f7e0dbc11cbb306fd34a737481e3943637d4.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.00407798983 & 0.00001905036 & -0.00009699419 \\
0.00001905036 & 0.00383666587 & -0.00000729520 \\
-0.00009699419 & -0.00000729520 & 0.00191346075 \\
\end{array}
\right]_R](../../_images/math/dbd6b63541c93cf3dabc427b433a5b36c69fefa6.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00002 \\
+0.00000 \\
-0.02556
\end{array}
\right]_{(o, R)}](../../_images/math/2aba52ff7eef51a2b81080cce51acab60db4472d.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00006180308 & -0.00000000205 & -0.00000004948 \\
-0.00000000205 & +0.00006281859 & -0.00000005067 \\
-0.00000004948 & -0.00000005067 & +0.00000543977
\end{array}
\right]_R](../../_images/math/308678c2a3c144f1a4db65ea606aec8d6a47e754.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
+0.00120 \\
-0.00000 \\
+0.05353
\end{array}
\right]_{(o, R)}](../../_images/math/02c1beae872d1aa68203c221344e15db1d7139f8.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00226587004 & +0.00000787181 & -0.00001192653 \\
+0.00000787181 & +0.00226420513 & -0.00000231846 \\
-0.00001192653 & -0.00000231846 & +0.00087373321
\end{array}
\right]_R](../../_images/math/0a779c65af5d63dc04cdf51912be83045dfbf2d4.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00178 \\
+0.02496 \\
+0.00018
\end{array}
\right]_{(o, R)}](../../_images/math/3126b3a5256fc52e06650faaad20b67d663b2788.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00007102499 & +0.00000202467 & +0.00000001722 \\
+0.00000202467 & +0.00001405799 & -0.00000000841 \\
+0.00000001722 & -0.00000000841 & +0.00007316600
\end{array}
\right]_R](../../_images/math/f37a68bdf5366b3e4c81e7448504ee8f06ec0464.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00178 \\
-0.02496 \\
+0.00018
\end{array}
\right]_{(o, R)}](../../_images/math/43de778a29087b9d1cc5e37b6f4968281e17594a.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00007102499 & -0.00000202467 & +0.00000001722 \\
-0.00000202467 & +0.00001405799 & +0.00000000841 \\
+0.00000001722 & +0.00000000841 & +0.00007316600
\end{array}
\right]_R](../../_images/math/8cbb1f7ecf145ba9c24265db0a1f12f472f0d02e.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
+0.01885 \\
-0.00577 \\
+0.00065
\end{array}
\right]_{(o, R)}](../../_images/math/29536498404f9d607f238b35d6f0a6e758b01f25.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00008228413 & +0.00003978057 & -0.00000752601 \\
+0.00003978057 & +0.00029001445 & +0.00000152945 \\
-0.00000752601 & +0.00000152945 & +0.00026842331
\end{array}
\right]_R](../../_images/math/563e6efab68c939f1f9740c8c61cc0f73375fb87.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
+0.01885 \\
+0.00577 \\
+0.00065
\end{array}
\right]_{(o, R)}](../../_images/math/df1d17394ef1a8bdd4b111f7ac8563305bf58c97.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00008228413 & -0.00003978057 & -0.00000752601 \\
-0.00003978057 & +0.00029001445 & -0.00000152945 \\
-0.00000752601 & -0.00000152945 & +0.00026842331
\end{array}
\right]_R](../../_images/math/e9b660e60217518e413746f5f1d02e1b9cf9fb31.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.02560 \\
+0.00001 \\
-0.00019
\end{array}
\right]_{(o, R)}](../../_images/math/16b901284fe0c4e500187d7dcc9780fa956d01b5.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00000550319 & +0.00000002243 & +0.00000001534 \\
+0.00000002243 & +0.00006225405 & -0.00000000559 \\
+0.00000001534 & -0.00000000559 & +0.00006325124
\end{array}
\right]_R](../../_images/math/4d32f81a337192657f7c1be5d788c1e5fb447b3a.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
-0.02560 \\
-0.00001 \\
-0.00019
\end{array}
\right]_{(o, R)}](../../_images/math/888f3cc5ab8900c919e630f809ca03606e5c6d17.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00000550319 & -0.00000002243 & +0.00000001534 \\
-0.00000002243 & +0.00006225405 & +0.00000000559 \\
+0.00000001534 & +0.00000000559 & +0.00006325124
\end{array}
\right]_R](../../_images/math/a7e733bfdc5d8093cde66cf37892329fa925afe6.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
+0.02556 \\
-0.00273 \\
+0.00096
\end{array}
\right]_{(o, R)}](../../_images/math/e9eda1c446b79758b1838c3f72d24116f2661293.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00002519483 & +0.00000216293 & -0.00000071846 \\
+0.00000216293 & +0.00008890315 & +0.00000010809 \\
-0.00000071846 & +0.00000010809 & +0.00008686867
\end{array}
\right]_R](../../_images/math/49a080e959941ae578db806558eb7622b0e48cf4.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
+0.02556 \\
+0.00273 \\
+0.00096
\end{array}
\right]_{(o, R)}](../../_images/math/baf5fd954b2bf67d782dcbf0dddaef3552fb102a.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00002519483 & -0.00000216293 & -0.00000071846 \\
-0.00000216293 & +0.00008890315 & -0.00000010809 \\
-0.00000071846 & -0.00000010809 & +0.00008686867
\end{array}
\right]_R](../../_images/math/93e5aa17602ad76283d8b82d89d704c56466c5cc.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
+0.03180 \\
-0.00083\\
+0.00477
\end{array}
\right]_{(o, R)}](../../_images/math/a1f0bb46af2a40a24ba2b18fb4767499ded23680.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00006105675 & +0.00000503640 & -0.00003895369 \\
+0.00000503640 & +0.00027947351 & +0.00000293076 \\
-0.00003895369 & +0.00000293076 & +0.00027998803
\end{array}
\right]_R](../../_images/math/a1eff80ae6233d33ad1ad101799c8ec5d75068e1.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
+0.03180 \\
+0.00083\\
+0.00477
\end{array}
\right]_{(o, R)}](../../_images/math/db1f70e178a6c128023df40b4ed4ba9168816eb2.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
+0.00006105675 & -0.00000503640 & -0.00003895369 \\
-0.00000503640 & +0.00027947351 & -0.00000293076 \\
-0.00003895369 & -0.00000293076 & +0.00027998803
\end{array}
\right]_R](../../_images/math/796ab19e1db4ebe4583769c0aa58077d4b537cb2.png)