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

2024
Views:

134

Pages:

1
Author:

Lamghari6kx

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 74. Have M = M1 + M 2 Where M1 = rE/D × FD = − ( 0.7 m ) k × ( 80 N ) j = ( 56.0 N ⋅ m ) i And M 2 = rG/F × FB Now d BF = ( −0.300 m )2 + ( 0.540 m )2 + ( 0.350 m )2 = 0.710 m Then FB = λBF FB = ( −0.300 m ) i + ( 0.540 m ) j + ( 0.350 m ) k 0.710 m ( 71 N ) = − ( 30 N ) i + ( 54 N ) j + ( 35 N ) k ∴ M 2 = ( 0.54 m ) j ×  − ( 30 N ) i + ( 54 N ) j + ( 35 N ) k  = (18.90 N ⋅ m ) i + (16.20 N ⋅ m ) k Finally M = ( 56.0 N ⋅ m ) i + (18.90 N ⋅ m ) i + (16.20 N ⋅ m ) k  = ( 74.9 N ⋅ m ) i + (16.20 N ⋅ m ) k and M = ( 74.9 N ⋅ m )2 + (16.20 N ⋅ m )2 = 76.632 N ⋅ m cosθ x = 74.9 76.632 or M = 76.6 N ⋅ m cosθ y = 0 76.632 cosθ z = 16.20 76.632 or θ x = 12.20° . θ y = 90.0° θ z = 77.8°