Assignment 8 solution 2010

Assignment 8 solution 2010 - ) ( ) ( ) ( ) ( C C C B B B A...

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Unformatted text preview: ) ( ) ( ) ( ) ( C C C B B B A A A i i i i v m r v m r v m r v m r H Angular Momentum about O(kg.m2/s): Position Vectors respect to O: k i r k j r j i r c B A 9 . 9 . , 9 . 8 . 1 , 8 . 1 9 . Linear Momentums: k j k j v m j i j i v m j i j i v m c c B B A A 177 . 76 266 . 114 ) 6 9 ( 81 . 9 55 . 124 248 . 114 165 . 76 ) 63 42 ( 81 . 9 79 . 17 248 . 114 165 . 76 ) 63 42 ( 81 . 9 79 . 17 Angular momentum of each particle: k j i v m r v m r v m r H k j i k j i v m r k j i k j i v m r k k j i v m r C C C B B B A A A C C c B B B A A A 016 . 011 . 016 . ) ( ) ( ) ( 839 . 102 559 . 68 839 . 102 177 . 76 248 . 114 9 . 9 . ) ( 097 . 137 548 . 68 823 . 102 248 . 114 165 . 76 9 . 8 . 1 ) ( 274 . 34 248 . 114 165 . 76 8 . 1 9 . ) ( (a ) For mass center we have: k j i r k i k j j i m m m r m r m r m m r m r r C B A O c c O B B O A A O i i O G 8 . 4 . 8 . 55 . 124 2 79 . 17 ) 9 . 8 . ( 55 . 124 ) 9 . 8 . 1 ( 79 . 17 ) 8 . 1 9 . ( 79 . 17 / / / / / (b ) Linear momentum of the system (vector):...
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Assignment 8 solution 2010 - ) ( ) ( ) ( ) ( C C C B B B A...

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