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

2019
Views:

272

Pages:

1
Author:

Lily Callahan

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 83. (a) Based on − ( 54 lb ) cos 30° = − FC cos 30° ΣFx : ∴ FC = 54 lb or FC = 54.0 lb 30° ( 54 lb ) cos10°  (10 in.) = M C ΣM C : ∴ M C = 531.80 lb ⋅ in. or M C = 532 lb ⋅ in. (b) Based on ΣFy : ( 54 lb ) sin 30° = FB sin α = 27 or ΣM B : FB sin α (1) 531.80 lb ⋅ in. − ( 54 lb ) cos10° ( 24 in.) = − FC ( 24 in.) cos 20°  FC = 33.012 lb or And ΣFx : FC = 33.0 lb − ( 54 lb ) cos 30° = − 33.012 lb − FB cos α FB cos α = 13.7534 From Eq (1) : Eq ( 2 ) From Eq. (1), FB = tan α = 27 13.7534 (2) ∴ α = 63.006° 27 = 30.301 lb sin ( 63.006° ) or FB = 30.3 lb . 63.0°

COSMOS Chapter 3 Solution 83

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