^ 2) solve x₁y, 2 in terms of the unit vectors in the cylindrical coordinate, s CN
^ 2) solve x₁y, 2 in terms of the unit vectors in the cylindrical coordinate, s CN
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Question
Subject:
Topic: Curvilinear Coordinates
Subtopic: Spherical Coordinates
Problem Set : #2 only
Solve x,y,z in terms of the unit vectors in the cylindrical coordinate s, Φ, z
![Spherical coordinates
x = rsine cos &
= rsine sin
d
Z =
r cas o
À = A₁² + A₂ = + A6 o
sine cos i tsine sind ŷ + cosa
€ = cos to cos & x + cos Osing ŷ - sino z
$ = -sin • 2 + cos@ ŷ
P
$
Z
0
1>
$ * & (r)
12/0 (²)|
6
y
dr² = ²² (²) ar
으
or
^ = // (v²)
1 & (P)]
2 (r)
de
d
de
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Transcribed Image Text:Spherical coordinates
x = rsine cos &
= rsine sin
d
Z =
r cas o
À = A₁² + A₂ = + A6 o
sine cos i tsine sind ŷ + cosa
€ = cos to cos & x + cos Osing ŷ - sino z
$ = -sin • 2 + cos@ ŷ
P
$
Z
0
1>
$ * & (r)
12/0 (²)|
6
y
dr² = ²² (²) ar
으
or
^ = // (v²)
1 & (P)]
2 (r)
de
d
de
(1)
Transcribed Image Text:EL COS
5X53 S
3
:
1
sint cos
cos 6 cos &
-sin &
sine cos &
sin sind
Los O
PROBLEM SET
sinesing cos
cosesing -sin Ⓒ
cos p
O
90
cose cos & -sing
cosesin & card
-sin
O
Solve for x, y, 2 in terms of
2,6,7
2) solve x₁y, 22 in terms of the
unit vectors in the
cylindrical coordinate, s
$
دل د کلال
Z
8
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