l9anno - a3 F3 System of particles m3 a2 f32 f31 a1 f13...

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2 F 2 m 21 f 12 f 1 m 1 F 2 a 1 a 3 m 31 f 13 f 3 a 3 F 32 f 23 f 11 1 1 2 1 3 22 2 1 2 3 33 3 3 1 3 2 2 2 3 3 1 3 2 2 () ( ) ii i mt t t t t m t m t t t t m t t t t t t t    aF f f f f f f aaa F F F System of particles When summed the internal forces cancel ij ji   ff
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Mass Center 11 2 2 3 123 3 Total mass OC ii i i i i i mm m m m m  RR R r R 2 m 1 m 3 m O 1 e 2 e 3 R 1 R 2 R OC r C
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m i a i ( t ) i F i ( t ) i m i  R i ( t ) i F i ( t ) i m i R i ( t ) i  F i ( t ) i m i i m i R i ( t ) i m i i F i ( t ) i m r OC ( t ) F i ( t ) i m a C ( t ) F i ( t ) Euler s first law
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Continuum equations O 1 e 2 e OC r C m dm Body r OC 1 m R dm m  r OC ( t )= F i ( t ) i m a C ( t F i ( t ) i 2 F 1 F 3 F C a R dm
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The Formula  1 i Body ii O Bo C d C y i mm d m m dm m m m  R rR Fa
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Procedure 1) Draw Free Body Diagram (FBD)
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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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l9anno - a3 F3 System of particles m3 a2 f32 f31 a1 f13...

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