COSMOS Chapter 3 Solution 77 | Michigan State University - Edubirdie

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

2020
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66

Pages:

1
Author:

MoGhoadoAnotozj14

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 77. Have M = M1 + M 2 + M 3 Where M1 = − (1.2 lb ⋅ ft ) cos 25° j − (1.2 lb ⋅ ft ) sin 25°k M 2 = − (1.3 lb ⋅ ft ) j M 3 = − (1.4 lb ⋅ ft ) cos 20° j + (1.4 lb ⋅ ft ) sin 20°k ∴ M = ( −1.08757 − 1.3 − 1.31557 ) j + ( − 0.507142 + 0.478828 ) k = − ( 3.7031 lb ⋅ ft ) j − ( 0.028314 lb ⋅ ft ) k and M = ( −3.7031)2 + ( − 0.028314 )2 = 3.7032 lb ⋅ ft or M = 3.70 lb ⋅ ft λ = M −3.7031j − 0.028314k = M 3.7032 = − 0.99997 j − 0.0076458k cosθ x = 0 or θ x = 90° or θ y = 179.6° or θ z = 90.4° cosθ y = − 0.99997 cosθ z = −0.0076458 .

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