Uttryck 30: "m" Subscript, "e" , Baseline equals StartFraction, "v" Subscript, "a" "d" "d" "y" "a" "b" , Baseline Over "v" Subscript, "a" "d" "d" "x" "a" "b" , Baseline , EndFractionme=vaddyabvaddxab
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Calculating the influence of each point A,B,C,D on point E.
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Uttryck 32: "i" Subscript, "a" , Baseline equals StartFraction, 1 Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "a" , Baseline , "y" Subscript, "a" , Baseline , right parenthesis , right parenthesis squared , EndFractionia=1distance0,0,xa,ya2
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Uttryck 33: "i" Subscript, "b" , Baseline equals StartFraction, 1 Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "b" , Baseline , "y" Subscript, "b" , Baseline , right parenthesis , right parenthesis squared , EndFractionib=1distance0,0,xb,yb2
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Uttryck 34: "i" Subscript, "c" , Baseline equals StartFraction, 1 Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "c" , Baseline , "y" Subscript, "c" , Baseline , right parenthesis , right parenthesis squared , EndFractionic=1distance0,0,xc,yc2
34
Uttryck 35: "i" Subscript, "d" , Baseline equals StartFraction, 1 Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "d" , Baseline , "y" Subscript, "d" , Baseline , right parenthesis , right parenthesis squared , EndFractionid=1distance0,0,xd,yd2
35
Combining the influence vectors of system "AB" and plotting as "rab" (resultant influence of system "AB" upon E).
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Uttryck 37: theta Subscript, "a" , Baseline equals sine to the negative 1st power left parenthesis, StartFraction, "y" Subscript, "a" , Baseline Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "a" , Baseline , "y" Subscript, "a" , Baseline , right parenthesis , right parenthesis , EndFraction , right parenthesisθa=sin−1yadistance0,0,xa,ya
37
Uttryck 38: "v" Subscript, "i" "a" "x" , Baseline equals "i" Subscript, "a" , Baseline cosine left parenthesis, theta Subscript, "a" , Baseline , right parenthesisviax=iacosθa
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Uttryck 39: "v" Subscript, "i" "a" "y" , Baseline equals "i" Subscript, "a" , Baseline sine left parenthesis, theta Subscript, "a" , Baseline , right parenthesisviay=iasinθa
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Uttryck 40: theta Subscript, "b" , Baseline equals sine to the negative 1st power left parenthesis, left parenthesis, StartFraction, "y" Subscript, "b" , Baseline Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "b" , Baseline , "y" Subscript, "b" , Baseline , right parenthesis , right parenthesis , EndFraction , right parenthesis , right parenthesisθb=sin−1ybdistance0,0,xb,yb
40
Uttryck 41: "v" Subscript, "i" "b" "x" , Baseline equals "i" Subscript, "b" , Baseline cosine left parenthesis, theta Subscript, "b" , Baseline , right parenthesisvibx=ibcosθb
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Uttryck 42: "v" Subscript, "i" "b" "y" , Baseline equals "i" Subscript, "b" , Baseline sine left parenthesis, theta Subscript, "b" , Baseline , right parenthesisviby=ibsinθb
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Uttryck 43: left parenthesis, "v" Subscript, "i" "a" "x" , Baseline , "v" Subscript, "i" "a" "y" , Baseline , right parenthesisviax,viay
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Uttryck 44: left parenthesis, "v" Subscript, "i" "b" "x" , Baseline , "v" Subscript, "i" "b" "y" , Baseline , right parenthesisvibx,viby
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Uttryck 45: "r" Subscript, "a" "b" "x" , Baseline equals "v" Subscript, "i" "a" "x" , Baseline plus "v" Subscript, "i" "b" "x" , Baselinerabx=viax+vibx
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Uttryck 46: "r" Subscript, "a" "b" "y" , Baseline equals "v" Subscript, "i" "a" "y" , Baseline plus "v" Subscript, "i" "b" "y" , Baselineraby=viay+viby
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Uttryck 47: left parenthesis, "r" Subscript, "a" "b" "x" , Baseline , "r" Subscript, "a" "b" "y" , Baseline , right parenthesisrabx,raby
47
The same operation for system "CD". To view resultants zoom on "E" as the values returned via the inverse square are very small.
48
49
Uttryck 50: theta Subscript, "c" , Baseline equals sine to the negative 1st power left parenthesis, StartFraction, "y" Subscript, "c" , Baseline Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "c" , Baseline , "y" Subscript, "c" , Baseline , right parenthesis , right parenthesis , EndFraction , right parenthesisθc=sin−1ycdistance0,0,xc,yc
50
Uttryck 51: "v" Subscript, "i" "c" "x" , Baseline equals "i" Subscript, "c" , Baseline cosine left parenthesis, theta Subscript, "c" , Baseline , right parenthesisvicx=iccosθc
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Uttryck 52: "v" Subscript, "i" "c" "y" , Baseline equals "i" Subscript, "c" , Baseline sine left parenthesis, theta Subscript, "c" , Baseline , right parenthesisvicy=icsinθc
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Uttryck 53: left parenthesis, "v" Subscript, "i" "c" "x" , Baseline , "v" Subscript, "i" "c" "y" , Baseline , right parenthesisvicx,vicy
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Uttryck 54: theta Subscript, "d" , Baseline equals sine to the negative 1st power left parenthesis, StartFraction, "y" Subscript, "d" , Baseline Over distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, "x" Subscript, "d" , Baseline , "y" Subscript, "d" , Baseline , right parenthesis , right parenthesis , EndFraction , right parenthesisθd=sin−1yddistance0,0,xd,yd
54
Uttryck 55: "v" Subscript, "i" "d" "x" , Baseline equals "i" Subscript, "d" , Baseline cosine left parenthesis, theta Subscript, "d" , Baseline , right parenthesisvidx=idcosθd
55
Uttryck 56: "v" Subscript, "i" "d" "y" , Baseline equals "i" Subscript, "d" , Baseline sine left parenthesis, theta Subscript, "d" , Baseline , right parenthesisvidy=idsinθd
56
Uttryck 57: left parenthesis, "v" Subscript, "i" "d" "x" , Baseline , "v" Subscript, "i" "d" "y" , Baseline , right parenthesisvidx,vidy
57
Uttryck 58: "r" Subscript, "c" "d" "x" , Baseline equals "v" Subscript, "i" "c" "x" , Baseline plus "v" Subscript, "i" "d" "x" , Baselinercdx=vicx+vidx
