L01 - Lecture 1 Orthogonal Coordinate Systems and...

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LECTURE 1 slide 1 Lecture 1 Orthogonal Coordinate Systems and Transformations Sections: 1.3, 1.4, 1.5, 1.8, 1.9 (1.2, 1.6, 1.7 covered at T01) Homework: D1.1, D1.2, D1.3, D1.4, D1.5, D1.6, D1.7, D1.8; 1.26, 1.28
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LECTURE 1 slide 2 Position Vector – 1 Rectangular Coordinates example 12 3 P xy z OP ≡= + + Raaa JJJG 221 Qx y z OQ =−+ Ra a a x y z OP P z P x P y (, ,) PP P P xyz 0 P OP R
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LECTURE 1 slide 3 Position Vector – 2 Principal planes and unit vectors in the RCS base unit vectors always right-hand triplets x yz x zx y × = × = × = aa a a a
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LECTURE 1 slide 4 Position Vector – 3 Cylindrical Coordinates 111 P z z ρφ ρ φ = ++ Ra a a x y z (, , ) PPP P z P P P z
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LECTURE 1 slide 5 ρ a φ a z a Position Vector – 4 Principal planes and unit vectors in the CCS z z z ρφ × = × = × = aa a a a
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LECTURE 1 slide 6 Position Vector – 5 Spherical Coordinate System (, , ) PPP Pr θφ x y z P r P φ P θ P P r P PP r P P r = ++ Ra aa
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LECTURE 1 slide 7 Position Vector – 6 Principal planes and unit vectors in the SCS r r r θ φ θφ × = × = × = aa a a a
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LECTURE 1 slide 8 Position Vector – 7 Summary x y z P z P x P y P 0 P R P ρ P φ P z P r P P θ
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LECTURE 1 slide 9 cos sin x y zz ρφ ρ φ = = = Rectangular Cylindrical 22 arctan x y y x =+
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This note was uploaded on 02/29/2012 for the course PHYS 227 taught by Professor Rabe during the Fall '08 term at Rutgers.

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L01 - Lecture 1 Orthogonal Coordinate Systems and...

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