COSMOS Chapter 4 Solution 82 | Answer Key - Edubirdie

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

2024
Views:

202

Pages:

1
Author:

Sean Horton

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 82. Free-Body Diagram: Note that the peavey is a three-force body. In the free-body diagram, D is the intersection of the lines of action of the three forces acting on the peavey. It then follows:  44 in.    DC + 8 in.  β = tan −1  where DC = ( 44 in. + a ) tan 30°  R  a= −R  tan 30°   4 in.  =  − 4 in.  tan 30°  = 2.9282 in. Then: DC = ( 46.9282 in.) tan 30° = 27.0940 in. and  44 in.   = 51.4245°  35.0940 in.  β = tan −1  α = 60° − β = 60° − 51.4245° = 8.5755° Now from the force triangle, using the law of sines: W C A = = sin β sin α sin120° 80 lb C A = = sin 51.424° sin 8.5755° sin120° Solving for C and A: (a) C = 15.2587 lb or C = 15.26 lb (b) A = 88.621 lb or A = 88.6 lb 81.4° 30.0°

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