수식 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
슬라이더 추가:
30
Calculating the influence of each point A,B,C,D on point E.
31
수식 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
equals=
0.0 0 2 3 7 5 2 9 6 9 1 2 1 10.00237529691211
32
수식 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
equals=
0.0 0 2 6 2 4 6 7 1 9 1 6 0 10.00262467191601
33
수식 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
equals=
0.0 0 1 6 0 2 5 6 4 1 0 2 5 60.00160256410256
34
수식 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
equals=
0.0 0 3 2 8 9 4 7 3 6 8 4 2 10.00328947368421
35
Combining the influence vectors of system "AB" and plotting as "rab" (resultant influence of system "AB" upon E).
36
수식 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
equals=
2.4 1 9 0 2 9 9 6 3 3 62.41902996336
37
수식 38: "v" Subscript, "i" "a" "x" , Baseline equals "i" Subscript, "a" , Baseline cosine left parenthesis, theta Subscript, "a" , Baseline , right parenthesisviax=iacosθa
equals=
0.0 0 2 3 7 3 1 8 0 2 0 5 70.0023731802057
38
수식 39: "v" Subscript, "i" "a" "y" , Baseline equals "i" Subscript, "a" , Baseline sine left parenthesis, theta Subscript, "a" , Baseline , right parenthesisviay=iasinθa
equals=
0.0 0 0 1 0 0 2 5 5 3 3 3 9 4 60.000100255333946
39
수식 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
equals=
negative 2.5 4 2 9 2 3 9 0 4 0 6−2.54292390406
40
수식 41: "v" Subscript, "i" "b" "x" , Baseline equals "i" Subscript, "b" , Baseline cosine left parenthesis, theta Subscript, "b" , Baseline , right parenthesisvibx=ibcosθb
equals=
0.0 0 2 6 2 2 0 8 7 3 0 4 9 30.00262208730493
41
수식 42: "v" Subscript, "i" "b" "y" , Baseline equals "i" Subscript, "b" , Baseline sine left parenthesis, theta Subscript, "b" , Baseline , right parenthesisviby=ibsinθb
rab: left parenthesis, "r" Subscript, "a" "b" "x" , Baseline , "r" Subscript, "a" "b" "y" , Baseline , right parenthesisrabx,raby
레이블:
equals=
left parenthesis, 0.0 0 4 9 9 5 2 7 , negative 1.6 1 9 6 times 10 to the negative 5th power , right parenthesis0.00499527,−1.6196×10−5
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
수식 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
equals=
16.1 0 2 1 1 3 7 5 216.102113752
50
수식 51: "v" Subscript, "i" "c" "x" , Baseline equals "i" Subscript, "c" , Baseline cosine left parenthesis, theta Subscript, "c" , Baseline , right parenthesisvicx=iccosθc
equals=
0.0 0 1 5 3 9 6 9 3 7 8 6 5 90.00153969378659
51
수식 52: "v" Subscript, "i" "c" "y" , Baseline equals "i" Subscript, "c" , Baseline sine left parenthesis, theta Subscript, "c" , Baseline , right parenthesisvicy=icsinθc
equals=
0.0 0 0 4 4 4 4 7 1 3 1 1 0 7 80.000444471311078
52
c: left parenthesis, "v" Subscript, "i" "c" "x" , Baseline , "v" Subscript, "i" "c" "y" , Baseline , right parenthesisvicx,vicy
수식 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
equals=
negative 23.4 1 3 2 2 4 4 4 6 4−23.4132244464
54
수식 55: "v" Subscript, "i" "d" "x" , Baseline equals "i" Subscript, "d" , Baseline cosine left parenthesis, theta Subscript, "d" , Baseline , right parenthesisvidx=idcosθd
equals=
0.0 0 3 0 1 8 6 2 8 0 7 7 2 40.00301862807724
55
수식 56: "v" Subscript, "i" "d" "y" , Baseline equals "i" Subscript, "d" , Baseline sine left parenthesis, theta Subscript, "d" , Baseline , right parenthesisvidy=idsinθd
