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

2020
Views:

110

Pages:

2
Author:

Lyric Morgan

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 108. (a) Reduce system to a force and couple at B: Have R = ΣF = − (10 lb ) j + ( 25 lb ) cos 60°i + ( 25 lb ) sin 60° j − ( 40 lb ) i = − ( 27.5 lb ) i + (11.6506 lb ) j or R = ( − 27.5 lb )2 + (11.6506 lb )2 = 29.866 lb  11.6506  θ = tan −1   = 22.960°  27.5  or R = 29.9 lb Also M B = ΣM B = ( 80 lb ⋅ in.) k − (12 in.) i × ( −10 lb ) j − ( 8 in.) j × ( − 40 lb ) i = − (120 lb ⋅ in.) k (b) Have M B = − (120 lb ⋅ in.) k = − ( u ) i × (11.6506 lb ) j − (120 lb ⋅ in.) k = − (11.6506 lb )( u ) k u = 10.2999 in. and x = 12 in. − 10.2999 in. = 1.7001 in. . 23.0° COSMOS: Complete Online Solutions Manual Organization System Have M B = − (120 lb ⋅ in.) k = − ( v ) j × ( − 27.5 lb ) i − (120 lb ⋅ in.) k = − ( 27.5 lb )( v ) k v = 4.3636 in. and y = 8 in. − 4.3636 in. = 3.6364 in. or . 1.700 in. to the right of A and 3.64 in. above C

COSMOS Chapter 3 Solution 108

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