l5anno_ae2 - Cylindrical Coordinates e(t j y e r(t r(t i(t...

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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
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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l5anno_ae2 - Cylindrical Coordinates e(t j y e r(t r(t i(t...

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