Higher Engineering Mathematics

(Greg DeLong) #1
L

Table 73.1


Ordinates

◦θ

V

cos

θ

V

cos

θ

sin

θ

V

sin

θ

cos 2

θ

V

cos 2

θ

sin 2

θ

V

sin 2

θ

cos 3

θ

V

cos 3

θ

sin 3

θ

V

sin 3

θ

y^1

30

62

0.866

53.69

0.5

31

0.5

31

0.866

53.69

00

162

y^2

60

35

0.5

17.5

0.866

30.31


0.5


17.5

0.866

30.31


1


35

00

y^3

90


38

00

1


38


138

00

00


138

y^4

120


64


0.5

32

0.866


55.42


0.5

32


0.866

55.42

1


64

00

y^5

150


63


0.866

54.56

0.5


31.5

0.5


31.5


0.866

54.56

00

1


63

y^6

180


52


152

00

1


52

00


152

00

y^7

210


28


0.866

24.25


0.5

14

0.5


14

0.866


24.25

00


128

y^8

240

24


0.5


12


0.866


20.78


0.5


12

0.866

20.78

124

00

y^9

270

80

00


1


80


1


80

00

00

180

y^10

300

96

0.5

48


0.866


83.14


0.5


48


0.866


83.14


1


96

00

y^11

330

90

0.866

77.94


0.5


45

0.5

45


0.866


77.94

00


1


90

y^12

360

70

170

00

170

00

170

00

(^12) ∑ k=
1
yk


(212)
(^12) ∑ k=
1
yk
cos
θk
(^12) ∑ k=
1
yk
sin
θk
(^12) ∑ k=
1
yk
cos 2
θk
(^12) ∑ k=
1
yk
sin 2
θk
(^12) ∑ k=
1
yk
cos 3
θk
(^12) ∑ k=
1
yk
sin 3
θk


417


.^94


=−

278

.^53


=−

39

=

29

.^43


=−

49

=

55
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