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--- visual3d:documentation:modeling:segments:transforming_segment_moment_of_inertia [2024/06/14 17:24] – created sgranger
+++ visual3d:documentation:modeling:segments:transforming_segment_moment_of_inertia [2024/07/17 15:45] (current) – created sgranger
@@ Line 1: / Line 1: @@
-|**Language:**|** English**  • [[index.php?title=Transforming_Segment_Moment_of_Inertia/fr&action=edit&redlink=1|français]] • [[index.php?title=Transforming_Segment_Moment_of_Inertia/it&action=edit&redlink=1|italiano]] • [[index.php?title=Transforming_Segment_Moment_of_Inertia/pt&action=edit&redlink=1|português]] • [[index.php?title=Transforming_Segment_Moment_of_Inertia/es&action=edit&redlink=1|español]] ****|
+====== Transforming Segment Moment of Inertia ======
 ||
@@ Line 10: / Line 10: @@
 Let the Inertia Tensor of Segment (foot or shank) in it’s own local coordinate system (f) be given:
-[[File:SegmentInertia_1.gif|{{/images/6/62/SegmentInertia_1.gif?183x90}}]]\\
+{{:SegmentInertia_1.gif}}\\
@@ Line 17: / Line 17: @@
 Find the value of this inertia tensor in any other reference frame (for example, ground) using the following equation:
-[[File:SegmentInertia_2.gif|{{/images/0/00/SegmentInertia_2.gif?292x33}}]]\\
+{{:SegmentInertia_2.gif}}\\
-Where [[File:SegmentInertia_3.gif|{{/images/7/7c/SegmentInertia_3.gif?95x34}}]] is the rotation matrix that transforms a vector from it's own coordinate system (lcs) to the ground coordinate system
+Where {{:SegmentInertia_3.gif}} is the rotation matrix that transforms a vector from it's own coordinate system (lcs) to the ground coordinate system
-and [[File:SegmentInertia_4.gif|{{/images/d/db/SegmentInertia_4.gif?92x32}}]] is its transpose.
+and {{:SegmentInertia_4.gif}} is its transpose.
-The above expression does not include the terms due to the parallel axis theorem ([[File:SegmentInertia_5.gif|{{/images/0/0c/SegmentInertia_5.gif?46x29}}]]) which are:
+The above expression does not include the terms due to the parallel axis theorem ({{:SegmentInertia_5.gif}}) which are:
-[[File:SegmentInertia_6.gif|{{/images/2/25/SegmentInertia_6.gif?263x107}}]]\\
+{{:SegmentInertia_6.gif}}\\
 where the vector s defines the location of hte segment's center of mass relative to ground.
-The total Inerties [[File:SegmentInertia_7.gif|{{/images/f/fe/SegmentInertia_7.gif?61x33}}]] for the segment is:
+The total Inerties {{:SegmentInertia_7.gif}} for the segment is:
-[[File:SegmentInertia_8.gif|{{/images/3/3b/SegmentInertia_8.gif?182x37}}]]\\
+{{:SegmentInertia_8.gif}}\\
 To find the total moment of inertia of all segments relative to ground you add the individual segment inertias:
-[[File:SegmentInertia_9.gif|{{/images/e/ec/SegmentInertia_9.gif?143x42}}]]\\
+{{:SegmentInertia_9.gif}}\\
@@ Line 51: / Line 51: @@
 **Yeadon, M.R.** (1993). The biomechanics of twisting somersaults. Part IV: Partitioning performance using the tilt angle. Journal of Sports Sciences 11, 219-225.
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