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{"sheet":"Centre of Mass","index":0,"n_rows":388,"n_cols":149,"rows_kept":388,"merged":[[6,1,6,3],[6,6,6,7],[12,1,12,3],[12,21,12,22],[13,6,13,7],[14,6,14,7],[15,6,15,7],[18,6,18,7],[19,6,19,7],[21,1,21,3],[21,6,21,7]]}
[{"$nulls":4},"Upper Limb - Centre of Mass"]
[]
[{"$nulls":4},"Explore how anthropometric and body segment parameters affect the"]
[{"$nulls":4},"position of the centre of mass (CoM) using the white cells"]
[{"$nulls":4},"*Macros must be enabled to use buttons*"]
[]
[null,"Subject Characteristics",null,null,"Range",{"$f":"IF(COUNT(F8:F11)>0,\"Corrected\",\"\")","v":""},"Display Options",null,null,"Default","Check","Scale","Min","Max",null,"Step","New","Check"]
[null,"Arm Length",0.33,"m",{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(M8,\"0.00\"),\" - \",TEXT(N8,\"0.00\"),\")\")","v":"(0.20 - 0.40)"},{"$f":"IF(C8=K8,\"\",K8)","v":""},{"$nulls":3},0.33,{"$f":"IF(ISNUMBER(C8),IF(C8<M8,M8,IF(C8>N8,N8,C8)),J8)","v":0.33},{"$f":"K8/J8","v":1},0.2,0.4,null,0.02,{"$f":"K8+P8","v":0.35000000000000003},{"$f":"ROUND(IF(Q8<M8,M8,IF(Q8>N8,N8,Q8)),3)","v":0.35}]
[null,"Forearm Length",0.26,"m",{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(M9,\"0.00\"),\" - \",TEXT(N9,\"0.00\"),\")\")","v":"(0.15 - 0.35)"},{"$f":"IF(C9=K9,\"\",K9)","v":""},"Joint Coord","Yes",null,0.26,{"$f":"IF(ISNUMBER(C9),IF(C9<M9,M9,IF(C9>N9,N9,C9)),J9)","v":0.26},{"$f":"K9/J9","v":1},0.15,0.35,null,0.02,{"$f":"K9+P9","v":0.28},{"$f":"ROUND(IF(Q9<M9,M9,IF(Q9>N9,N9,Q9)),3)","v":0.28}]
[null,"Body Mass",81,"kg","( > 0 )",{"$f":"IF(C10=K10,\"\",K10)","v":""},"System CoM","No",null,81,{"$f":"IF(IF(ISNUMBER(C10),IF(C10>0,C10)),C10,J10)","v":81},null,0,null,null,5,{"$f":"K10+P10","v":86},{"$f":"ROUND(IF(Q10<=5,1,Q10),1)","v":86}]
[null,"Mass in Hand",0,"kg","( ≥ 0 )",{"$f":"IF(C11=K11,\"\",K11)","v":""},"Segment CoM","Yes",null,0,{"$f":"IF(IF(ISNUMBER(C11),IF(C11>=0,C11)),C11,J11)","v":0},null,0,null,null,1,{"$f":"K11+P11","v":1},{"$f":"ROUND(IF(Q11<M11,M11,Q11),1)","v":1}]
[null,{"$f":"IF((K8+K9) > 0.7,\"Go, Go, Gadget arm!\",\"\")","v":""}]
[null,"Body Segment Parameters",{"$nulls":3},{"$f":"IF(COUNT(F15:F20)>0,\"Corrected\",\"\")","v":""},{"$nulls":14},"Weight","CoM Position (m)"]
[null,"Segment Mass (relative to body mass)",{"$nulls":4},"Segment Mass",null,null,"Default","Check",null,"Min","Max",{"$nulls":6},"(N)","X","Y"]
[null,"Arm",0.028,null,{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(M15,\"0\"),\" - \",TEXT(N15,\"0\"),\")\")","v":"(0 - 1)"},{"$f":"IF(C15=K15,\"\",K15)","v":""},{"$f":"_xlfn.TEXTJOIN(\" \",,TEXT(K15*$K$10,\"0.00\"),\"kg\")","v":"2.27 kg"},null,null,0.028,{"$f":"IF(ISNUMBER(C15),IF(C15<M15,M15,IF(C15>N15,N15,C15)),J15)","v":0.028},null,0,1,null,0.01,{"$f":"K15+P15","v":0.038},{"$f":"ROUND(IF(Q15<M15,M15,IF(Q15>N15,N15,Q15)),3)","v":0.038},null,"System",{"$f":"SUM(U17:U19)","v":{"v":39.730500000000006,"d":"39.73"}},{"$f":"IF($K$11>0,(($K$15*$K$10*$V17)+($K$16*$K$10*$V18)+($K$11*$V19)) / ($K$10*($K$15+$K$16)+$K$11),($K$15*$V17+$K$16*$V18)/($K$15+$K$16))","v":{"v":0.22195944718045194,"d":"0.22"}},{"$f":"IF($K$11>0,(($K$15*$K$10*$W17)+($K$16*$K$10*$W18)+($K$11*$W19)) / ($K$10*($K$15+$K$16)+$K$11),($K$15*$W17+$K$16*$W18)/($K$15+$K$16))","v":{"v":-0.1594038291072964,"d":"-0.16"}}]
[null,"Forearm",0.022,null,{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(M16,\"0\"),\" - \",TEXT(N16,\"0\"),\")\")","v":"(0 - 1)"},{"$f":"IF(C16=K16,\"\",K16)","v":""},{"$f":"_xlfn.TEXTJOIN(\" \",,TEXT(K16*$K$10,\"0.00\"),\"kg\")","v":"1.78 kg"},null,null,0.022,{"$f":"IF(ISNUMBER(C16),IF(C16<M16,M16,IF(C16>N16,N16,C16)),J16)","v":0.022},null,0,1,null,0.01,{"$f":"K16+P16","v":0.032},{"$f":"ROUND(IF(Q16<M16,M16,IF(Q16>N16,N16,Q16)),3)","v":0.032}]
[{"$nulls":19},"Arm",{"$f":"K10*K15*9.81","v":{"v":22.249080000000003,"d":"22.25"}},{"$f":"(G24-G23)*$K19+G23","v":{"v":0.09248428128169925,"d":"0.09"}},{"$f":"(H24-H23)*$K19+H23","v":{"v":-0.11021847447595857,"d":"-0.11"}}]
[null,"CoM Location (relative to segment length)",{"$nulls":4},"Distance from Proximal Joint",null,null,"Default","Check",{"$nulls":8},"Forearm",{"$f":"K10*K16*9.81","v":{"v":17.48142,"d":"17.48"}},{"$f":"(G25-G24)*$K20+G24","v":{"v":0.38674602196068264,"d":"0.39"}},{"$f":"(H25-H24)*$K20+H24","v":{"v":-0.22200337136536274,"d":"-0.22"}}]
[null,"Arm",0.436,null,{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(M19,\"0\"),\" - \",TEXT(N19,\"0\"),\")\")","v":"(0 - 1)"},{"$f":"IF(C19=K19,\"\",K19)","v":""},{"$f":"_xlfn.TEXTJOIN(\" \",,TEXT(K19*K8*100,\"0.00\"),\"cm\")","v":"14.39 cm"},null,null,0.436,{"$f":"IF(ISNUMBER(C19),IF(C19<M19,M19,IF(C19>N19,N19,C19)),J19)","v":0.436},null,0,1,null,0.05,{"$f":"K19+P19","v":0.486},{"$f":"ROUND(IF(Q19<M19,M19,IF(Q19>N19,N19,Q19)),3)","v":0.486},null,"Mass in Hand",{"$f":"IF(K11>0,K11*9.81,\"\")","v":""},{"$f":"IF($K$11 > 0,(IMREAL(M24)*0.12)*0.5+G25,\"\")","v":""},{"$f":"IF($K$11>0,(IMAGINARY(M24)*0.12)*0.5+H25,\"\")","v":""}]
[null,"Forearm",0.682,null,{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(M20,\"0\"),\" - \",TEXT(N20,\"0\"),\")\")","v":"(0 - 1)"},{"$f":"IF(C20=K20,\"\",K20)","v":""},{"$f":"_xlfn.TEXTJOIN(\" \",,TEXT(K20*K9*100,\"0.00\"),\"cm\")","v":"17.73 cm"},null,null,0.682,{"$f":"IF(ISNUMBER(C20),IF(C20<M20,M20,IF(C20>N20,N20,C20)),J20)","v":0.682},null,0,1,null,0.05,{"$f":"K20+P20","v":0.7320000000000001},{"$f":"ROUND(IF(Q20<M20,M20,IF(Q20>N20,N20,Q20)),3)","v":0.732}]
[null,{"$f":"IF(C15+C16>1,\"Caution: Mass of Arm + Forearm exceeds body mass\",\"\")","v":""}]
[null,"Joint Angles",{"$nulls":3},{"$f":"IF(COUNT(F23:F24)>0,\"Corrected\",\"\")","v":""},"Joint Coordinates (m)",null,null,"Default","Relative","Absolute","Orientation Vector","Min","Max",{"$nulls":4},"Designed and created by"]
[null,"Shoulder",40,"°",{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(N23,\"0\"),\" - \",TEXT(O23,\"0\"),\")\")","v":"(-30 - 120)"},{"$f":"IF(C23=K23,\"\",K23)","v":""},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},null,40,{"$f":"IF(ISNUMBER(C23),IF(C23<N23,N23,IF(C23>O23,O23,C23)),J23)","v":40},{"$f":"-90+K23","v":-50},{"$f":"COMPLEX(COS((L23)*PI()/180),SIN((L23)*PI()/180))","v":"0.642787609686539-0.766044443118978i"},-30,120,5,{"$f":"K23+P23","v":45},{"$f":"ROUND(IF(Q23<N23,N23,IF(Q23>O23,O23,Q23)),3)","v":45},null,"Derek Zwambag, PhD"]
[null,"Elbow",120,"°",{"$f":"_xlfn.TEXTJOIN(,,\"(\",TEXT(N24,\"0\"),\" - \",TEXT(O24,\"0\"),\")\")","v":"(30 - 180)"},{"$f":"IF(C24=K24,\"\",K24)","v":""},{"$f":"IMREAL(M23)*K8+G23","v":{"v":0.2121199111965579,"d":"0.21"}},{"$f":"IMAGINARY(M23)*K8+H23","v":{"v":-0.2527946662292628,"d":"-0.25"}},null,120,{"$f":"IF(ISNUMBER(C24),IF(C24<N24,N24,IF(C24>O24,O24,C24)),J24)","v":120},{"$f":"180+L23-K24","v":10},{"$f":"COMPLEX(COS((L24)*PI()/180),SIN((L24)*PI()/180))","v":"0.984807753012208+0.17364817766693i"},30,180,5,{"$f":"K24-P24","v":115},{"$f":"ROUND(IF(Q24<N24,N24,IF(Q24>O24,O24,Q24)),3)","v":115},null,"Postdoctoral Fellow - Wilfrid Laurier University"]
[null,"Wrist",180,"°",null,null,{"$f":"IMREAL(M24)*K9+G24","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"IMAGINARY(M24)*K9+H24","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$nulls":11},"dzwambag@wlu.ca"]
[{"$nulls":19},"2019-06-20"]
[null,"Mass in hand is assumed to be 6 cm from wrist",{"$nulls":3},"Mass of hand is included in forearm mass",{"$nulls":13},"Version 1.1"]
[null,"Suggestion: You can use your height to estimate your arm (H x 0.186) and forearm length (H x 0.146)"]
[null,"Default body segment parameters are from Dempster as reported in Winter (1990) \"Biomechanics and motor control of human movement\""]
[{"$nulls":36},"Bones that need length Scaling"]
[{"$nulls":37},"Original Length",0.33,null,0.26,null,0.26]
[{"$nulls":37},"Target Length",{"$f":"K8","v":0.33},null,{"$f":"K9","v":0.26},null,{"$f":"AO32","v":0.26}]
[{"$nulls":37}," Prox trans",-0.05,null,-0.407,null,-0.407,null,"Bone Rotation"]
[{"$nulls":37},"Med trans",-0.27,null,-0.55,null,-0.55]
[{"$nulls":37},"Mid Length",{"$f":"AM33-AM34","v":0.22000000000000003},null,{"$f":"AO33-AO34","v":0.14300000000000007},null,{"$f":"AQ33-AQ34","v":0.14300000000000007},null,"Translate to 0",{"$f":"0","v":{"v":0,"d":"0.0000"}},0,0,-0.33,0,-0.33,0,-0.59,0,-0.59,0,-0.59,0,-0.59,0,-0.59,0,-0.59,0,-0.59,0,-0.59,0,-0.59,null,null,"Delete overlaps",{"$nulls":12},{"$f":"0","v":{"v":0,"d":"0.0000"}},0]
[{"$nulls":37},"Mid Target",{"$f":"AM35-(AM31-AM32)","v":0.22000000000000003},null,{"$f":"AO35-(AO31-AO32)","v":0.14300000000000007},null,{"$f":"AQ35-(AQ31-AQ32)","v":0.14300000000000007},null,"Rotate",{"$f":"COMPLEX(COS((L23+90)*PI()/180),SIN((L23+90)*PI()/180))","v":"0.766044443118978+0.642787609686539i"},null,{"$f":"COMPLEX(COS((L24+90)*PI()/180),SIN((L24+90)*PI()/180))","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AV36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AV36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AV36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AV36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AV36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AX36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AZ36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"BB36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"AV36","v":"-0.17364817766693+0.984807753012208i"},null,{"$f":"BN36","v":"-0.17364817766693+0.984807753012208i"},{"$nulls":16},1]
[{"$nulls":37},"Max change",{"$f":"AM35-AM36","v":0},null,{"$f":"AO35-AO36","v":0},null,{"$f":"AQ35-AQ36","v":0},null,"Translate",{"$f":"0-F47","v":{"v":0,"d":"0.00"}},{"$f":"0+F48","v":{"v":0,"d":"0.00"}},{"$f":"G24-F47","v":{"v":0.2121199111965579,"d":"0.21"}},{"$f":"H24+F48","v":{"v":-0.2527946662292628,"d":"-0.25"}},{"$f":"G24-F47","v":{"v":0.2121199111965579,"d":"0.21"}},{"$f":"H24+F48","v":{"v":-0.2527946662292628,"d":"-0.25"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$f":"G25-F47","v":{"v":0.46816992697973203,"d":"0.47"}},{"$f":"H25+F48","v":{"v":-0.20764614003586096,"d":"-0.21"}},{"$nulls":15},{"$f":"0-F47","v":{"v":0,"d":"0.00"}},{"$f":"0+F48","v":{"v":0,"d":"0.00"}}]
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[]
[{"$nulls":9},"Check if point is in other bone"]
[{"$nulls":9},"Scapula in humerus",{"$nulls":79},"Ulna in Humerus",{"$nulls":32},"Humerus in Ulna",{"$nulls":19},"Humerus in Radius"]
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