COSMOS Chapter 4 Solution 145 - Edubirdie

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

2024
Views:

355

Pages:

1
Author:

omiliar74be

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 145. Free-Body Diagram: Express forces in terms of their rectangular components: uuur − 40 i + 74 j − 32 k BG 37 16   20 = TBG = TBG  − i + TBG = TBG j− k 2 2 2 BG 45 45 45   − + + − 40 74 32 ( ) ( ) ( ) P = − ( 75 lb ) j λ AD = uuur AD = AD 80 i − 60 j (80 ) 2 + ( − 60 ) 2 = 0.8 i − 0.6 j rB/ A = ( 40 in.) i rC/ A = ( 80 in.) i Now, ΣM AD = 0: ( ) ( ) λ AD ⋅ rB/ A × TBG + λ AD ⋅ rC/ A × P = 0 0.8 0 − 0.6 0.8 0 − 0.6 TBG + 80 0 40 0 0 0 =0 45 − 20 37 −16 0 − 75 0 − 888 TBG + 3600 = 0 45 Solving for TBG : TBG = 182.432 lb or TBG = 182.4 lb

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