COSMOS Chapter 4 Solution 6 | Answer Key - Edubirdie

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

2024
Views:

197

Pages:

1
Author:

lhuseroha

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 6. a1 = ( 20 in.) sin α − ( 8 in.) cos α Free-Body Diagram: a2 = ( 32 in.) cos α − ( 20 in.) sin α b = ( 64 in.) cos α From free-body diagram of hand truck ΣM B = 0: P ( b ) − W ( a2 ) + W ( a1 ) = 0 (1) ΣFy = 0: P − 2w + 2B = 0 (2) α = 40° For a1 = 20sin 40° − 8cos 40° = 6.7274 in. a2 = 32 cos 40° − 20sin 40° = 11.6577 in. b = 64cos 40° = 49.027 in. (a) From Equation (1) P ( 49.027 in.) − 80 lb (11.6577 in.) + 80 lb ( 6.7274 in.) = 0 P = 8.0450 lb or P = 8.05 lb (b) From Equation (2) 8.0450 lb − 2 ( 80 lb ) + 2 B = 0 B = 75.9775 lb or B = 76.0 lb

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