{"id":599,"date":"2014-01-07T14:17:49","date_gmt":"2014-01-07T21:17:49","guid":{"rendered":"http:\/\/bestperformancegroup.com\/?page_id=599"},"modified":"2014-09-25T01:16:35","modified_gmt":"2014-09-25T08:16:35","slug":"end-effector-mobility","status":"publish","type":"page","link":"http:\/\/bestperformancegroup.com\/?page_id=599","title":{"rendered":"End Effector Mobility"},"content":{"rendered":"<p>In human movement analysis, the last link of an open <a href=\"http:\/\/bestperformancegroup.com\/?page_id=595\" target=\"_blank\">kinematic chain<\/a>, typically the hand or the foot, needs to be positioned in a specified place with a specific orientation. \u00a0This link is termed the\u00a0<em style=\"color: #000000;\">end effector<\/em>. \u00a0This concept is very similar to end effector robots that use robotics to position the arms at a specified 3D position and orientation. \u00a0<a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Lynx6Coords.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-489\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Lynx6Coords.jpg?resize=300%2C214\" alt=\"Lynx6Coords\" width=\"300\" height=\"214\" srcset=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Lynx6Coords.jpg?resize=300%2C214 300w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Lynx6Coords.jpg?resize=420%2C300 420w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/Lynx6Coords.jpg?w=560 560w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>One of the hardest concepts to understand in biomechanics of human movement is the fact that the body utilizes only <a href=\"http:\/\/bestperformancegroup.com\/?page_id=479\" target=\"_blank\">angular joint DOF kinematics<\/a>\u00a0to produce what seem to be translational motions of the\u00a0<em style=\"color: #000000;\">end effector<\/em>. \u00a0So even though we observe a sprinter translating down the track, that motion is purely the result of a well coordinated sequence of joint rotations starting from the core.<a href=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprinter1.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-502\" src=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprinter1.jpg?resize=300%2C208\" alt=\"sprinter1\" width=\"300\" height=\"208\" srcset=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprinter1.jpg?resize=300%2C208 300w, https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprinter1.jpg?resize=432%2C300 432w, https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/sprinter1.jpg?w=499 499w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>Same for a basketball player jumping straight up to grab a rebound, which is caused through a well coordinated sequence of joint rotations starting from the core resulting in the player jumping 42&#8243; vertically off the ground. \u00a0<a href=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/apl_technology_photos.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-501\" src=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/apl_technology_photos.jpg?resize=300%2C146\" alt=\"apl_technology_photos\" width=\"300\" height=\"146\" srcset=\"https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/apl_technology_photos.jpg?resize=300%2C146 300w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/apl_technology_photos.jpg?resize=500%2C244 500w, https:\/\/i1.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/apl_technology_photos.jpg?w=700 700w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a>Most observers note the athlete moving straight down the track or jumping straight in the air. \u00a0To them that implies the vertical and horizontal forces on the ground cause the resultant motion. \u00a0What they miss is the angular kinematics of the human body that are required to create the internal joint torques (moments) and forces that cause the resultant action-reaction with the floor or ground which ultimately catapults the athlete in the desired direction. \u00a0The ground reaction is what causes the change in direction. \u00a0But the power to cause that was already set in motion by the core of the human body; the ground just provides a temporary constraint on the motion.\u00a0<a href=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/carol-mike-werner-sequence-illustrating-a-human-skeleton-jumping.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-503\" src=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/carol-mike-werner-sequence-illustrating-a-human-skeleton-jumping.jpg?resize=300%2C225\" alt=\"carol-mike-werner-sequence-illustrating-a-human-skeleton-jumping\" width=\"300\" height=\"225\" srcset=\"https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/carol-mike-werner-sequence-illustrating-a-human-skeleton-jumping.jpg?resize=300%2C225 300w, https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/carol-mike-werner-sequence-illustrating-a-human-skeleton-jumping.jpg?resize=399%2C300 399w, https:\/\/i0.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2013\/10\/carol-mike-werner-sequence-illustrating-a-human-skeleton-jumping.jpg?w=473 473w\" sizes=\"(max-width: 300px) 100vw, 300px\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<p>Mark Verstegen does a great job discussing end effector mobility in his book <a href=\"http:\/\/www.amazon.com\/Core-Performance-Revolutionary-Workout-Transform\/dp\/1594861684\/ref=sr_1_1?s=books&amp;ie=UTF8&amp;qid=1389129952&amp;sr=1-1&amp;keywords=core+performance\" target=\"_blank\">Core Performance<\/a>: \u201c<em>We have a tendency to think of movement as starting from the limbs. \u00a0If we reach out to grab something or step forward, we think of those motions as originating with the end result \u2013 we\u2019ve reached out; therefore, we\u2019ve used our arms. \u00a0We\u2019ve stepped forward, so we\u2019ve worked our legs\u2026Movement, however, starts from the very center of the body, the core area of the torso.\u201d<\/em><\/p>\n<p>One consideration when examining end effector mobility is the fact that the human arm has 7 degrees of freedom (DOF). \u00a0An example of an upper extremity model featuring realistic pronation and supination by Dr. Gary Yamaguchi from <a href=\"http:\/\/www.amazon.com\/Dynamic-Modeling-Musculoskeletal-Motion-Biomechanical\/dp\/0387287043\" target=\"_blank\">Dynamic Modeling of Musculoskeletal Motion<\/a> is shown below.<a href=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2014\/01\/figure413.jpg\"><img loading=\"lazy\" class=\"aligncenter size-medium wp-image-605\" src=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2014\/01\/figure413.jpg?resize=210%2C300\" alt=\"figure413\" width=\"210\" height=\"300\" srcset=\"https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2014\/01\/figure413.jpg?resize=210%2C300 210w, https:\/\/i2.wp.com\/bestperformancegroup.com\/wp-content\/uploads\/2014\/01\/figure413.jpg?w=365 365w\" sizes=\"(max-width: 210px) 100vw, 210px\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<p>A rigid body in 3D space needs just 6 DOF to fully describe its position and orientation. \u00a0Because the human arm has 7 DOF, there is essentially an extra DOF when analyzing end effector mobility. \u00a0Suppose that we want to model grabbing an object in 3D space; for example grabbing a light bulb, picking an apple off of a tree, catching a baseball, etc. \u00a0Given the same starting point of the shoulder joint origin, there are a number of different solutions to solving that problem because the arm has 7 DOF. \u00a0Another way to look at this is to place your hand on a desk and not move it; while also keeping the shoulder center in the same location. \u00a0Despite these motion constraints at the hand and shoulder, we still have some ability to move the elbow. \u00a0Again, this is due to the fact that the arm has an extra DOF when looking at end effector mobility scenarios.<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-599\" class=\"share-twitter sd-button share-icon\" href=\"http:\/\/bestperformancegroup.com\/?page_id=599&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span>Twitter<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-599\" class=\"share-linkedin sd-button share-icon\" href=\"http:\/\/bestperformancegroup.com\/?page_id=599&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span>LinkedIn<\/span><\/a><\/li><li class=\"share-email\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-email sd-button share-icon\" href=\"http:\/\/bestperformancegroup.com\/?page_id=599&amp;share=email\" target=\"_blank\" title=\"Click to email this to a friend\"><span>Email<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>In human movement analysis, the last link of an open kinematic chain, typically the hand or the foot, needs to be positioned in a specified place with a specific orientation. \u00a0This link is termed the\u00a0end effector. \u00a0This concept is very &hellip; 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