COSMOS Chapter 3 Solution 123 | Michigan State University - Edubirdie

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Michigan State University
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ERG 160 | Success in Science, Technology, Engineering, and Mathematics
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2024
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COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 123. Have: ΣF : FA + FC + FD + FE = R R = − ( 80 kN ) j − ( 40 kN ) j − (100 kN ) j − ( 60 kN ) j = − ( 280 kN ) j or R = 280 kN Have: ΣM x : FA ( z A ) + FC ( zC ) + FD ( z D ) + FE ( z E ) = R ( zG ) (80 kN )( 0 ) + ( 40 kN ) ( 3 m ) sin 60° + 60 kN ( 0 ) + ( 60 kN )  − ( 3 m ) sin 60° = ( 280 kN ) Z G ∴ Z G = − 0.185577 m or Z G = − 0.1856 m ΣM z : FA ( x A ) + FC ( xC ) + FD ( xD ) + FE ( xE ) = R ( xG ) (80 kN )  − ( 3 m ) cos 60° − 1.5 m  + ( 40 kN )(1.5 m ) + 60 kN (1.5 m ) + (100 kN ) ( 3 m ) cos 60° + 1.5 m  = ( 280 kN ) xG or xG = 0.750 m .

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