COSMOS Chapter 4 Solution 159 | 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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80

Pages:

1
Author:

garciavelascogr13

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 159. Free-Body Diagram: First note ( ) W = mg = (17 kg ) 9.81 m/s 2 = 166.77 N h= (1.2 )2 − (1.125)2 = 0.41758 m From free-body diagram of plywood sheet  (1.125 m )  ΣM z = 0: C ( h ) − W   =0 2   C ( 0.41758 m ) − (166.77 N ) ( 0.5625 m ) = 0 ∴ C = 224.65 N or C = − ( 225 N ) i ΣM B( y -axis ) = 0: − ( 224.65 N ) ( 0.6 m ) + Ax (1.2 m ) = 0 or ∴ Ax = 112.324 N A x = (112.3 N ) i ΣM B( x-axis ) = 0: (166.77 N ) ( 0.3 m ) − Ay (1.2 m ) = 0 ∴ Ay = 41.693 N or A y = ( 41.7 N ) j ΣM A( y -axis ) = 0: ( 224.65 N ) ( 0.6 m ) − Bx (1.2 m ) = 0 ∴ Bx = 112.325 N or B x = (112.3 N ) i ΣM A( x-axis ) = 0: B y (1.2 m ) − (166.77 N ) ( 0.9 m ) = 0 ∴ By = 125.078 N or B y = (125.1 N ) j ∴ A = (112.3 N ) i + ( 41.7 N ) j B = (112.3 N ) i + (125.1 N ) j C = − ( 225 N ) i

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