COSMOS Chapter 4 Solution 111 | Answer Key - Edubirdie

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

2019
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330

Pages:

1
Author:

Hundebuchesn

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 111. Free-Body Diagram: ΣM O = 0: ( 0.75 ft ) i × ( Ay j + Azk ) + ( 3.75 ft ) i × ( By j + Bzk ) + ( 2.25 ft ) i + ( 3 ft ) k  × ( − 27 lb ) j + ( 3.75 ft ) i + ( 6 ft ) k  × C y j = 0 or ( 0.75 ft ) Ayk − ( 0.75 ft ) Az j + ( 3.75 ft ) Byk − ( 3.75 ft ) Bz j − ( 2.25 ft )( 27 lb ) k + ( 3 ft )( 27 lb ) i + ( 3.75 ft ) C yk − ( 6.0 ft ) C y i = 0 Setting the coefficients of the unit vectors equal to zero: ΣM x = 0: ( 27 lb )( 3 ft ) − C y ( 6 ft ) = 0 C y = 13.5000 lb ΣM z = 0: − ( 27 lb )(1.5 ft ) + By ( 3 ft ) − (13.5000 lb )( 3 ft ) = 0 By = 0 ΣFy = 0: Ay + 13.5000 lb − 27 lb = 0 Ay = 13.5000 lb Therefore: A y = 13.50 lb (a) (b) (c) By = 0 C y = 13.50 lb

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