COSMOS Chapter 3 Solution 153 - Edubirdie

University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2020
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473

Pages:

1
Author:

taluz6ib

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 153. Have ΣF : FA + FB + FC + FD = R − ( 85 lb ) j − ( 60 lb ) j − ( 90 lb ) j − ( 95 lb ) j = R ∴ R = − ( 330 lb ) j Have ΣM x : FA ( z A ) + FB ( z B ) + FC ( zC ) + FD ( z D ) = R ( z H ) (85 lb )( 9 ft ) + ( 60 lb )(1.5 ft ) + ( 90 lb )(14.25 ft ) + ( 95 lb )( zD ) = ( 330 lb )( 7.5 ft ) ∴ z D = 3.5523 ft Have or z D = 3.55 ft ΣM z : FA ( x A ) + FB ( xB ) + FC ( xC ) + FD ( xD ) = R ( xH ) (85 lb )( 3 ft ) + ( 60 lb )( 4.5 ft ) + ( 90 lb )(14.25 ft ) + ( 95 lb )( xD ) = ( 330 lb )( 7.5 ft ) ∴ xD = 7.0263 ft or xD = 7.03 ft .

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