COSMOS Chapter 4 Solution 96 | Michigan State University - Edubirdie

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

2023
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1
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FrextWhestembki

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 96. Free-Body Diagram: ΣM A = 0: ( 450 mm ) i  × D + (150 mm ) i  × ( −180 N ) j + ( 250 mm ) i  × ( − 300 N ) k  = 0 ( 450 mm ) Dyk − (450 mm)Dz j − (150 mm)(180 N)k + (250 mm)(300 N) j = 0 Setting the coefficients of the unit vectors equal to zero: k: Dy (450 mm) − (180 N )(150 mm ) = 0, or Dy = 60.000 N i: ( 300 N )( 250 mm ) − Dz ( 450 mm ) = 0, or Dz = 166.667 N D = ( 60.0 N ) j + (166.7 N ) k ΣFx = 0: Ax = 0 ΣFy = 0: Ay + 60.000 N − 180 N = 0, or Ay = 120.000 N ΣFz = 0: Az + 166.667 N − 300 N = 0, or A = 133.333 N A = (120.0 N ) j + (133.3 N ) k

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