l5anno_ae1 - Cylindrical Coordinates e (t ) j y e r (t ) r...

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Cylindrical Coordinates () cos ( () ) s in ) () s ) cos ) r tt t t    ei j j Time dependent basis vectors i j rt t t e r t e () () OP r tr t t z t re k x y P
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2 () () () () [() ] OP r Pr r r r r tr t t z rt t t z t r t r t r ttt r tttr tt z tz t t t t t t t t t t    re k ee k k v ek e ae e e e  [( ) 2 ( ) ] t t z t t  () cos ( () ) s in ) ( ) sin( ( )) cos( ( )) r t t ei j j s ) () cos s r r t t t t t t t t   j e j e
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“The Formula” 2 () [] [ 2 )) ] (( OP r Pr tr t rz tz t rr r r    re k ee ak vk 
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This note was uploaded on 01/26/2012 for the course TAM 212 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

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l5anno_ae1 - Cylindrical Coordinates e (t ) j y e r (t ) r...

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