COSMOS Chapter 3 Solution 73 | Answer Key - Edubirdie

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

2019
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283

Pages:

2
Author:

Tarime9wn

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 73. Have M = M1 + M 2 Where M1 = rC/B × PIC rC/B = ( 38.4 in.) i − (16 in.) j PIC = − ( 25 lb ) k i j k ∴ M1 = 38.4 −16 0 lb ⋅ in. 0 0 −25 = ( 400 lb ⋅ in.) i + ( 960 lb ⋅ in.) j and M 2 = rD/ A × PZE rD/ A = ( 8 in.) j − ( 22 in.) k JJJG  − (19.2 in.) i + ( 22 in.) k  ED PZ E = PZE = ( 36.5 lb )  ED ( −19.2 in.)2 + ( 22 in.)2 = − ( 24 lb ) i + ( 27.5 lb ) k i j k ∴ M 2 = 0 8 −22 lb ⋅ in. −24 0 27.5 M 2 = ( 220 lb ⋅ in.) i + ( 528 lb ⋅ in.) j + (192 lb ⋅ in.) k and M = M1 + M 2 = ( 400 lb ⋅ in.) i + ( 960 lb ⋅ in.) j + ( 220 lb ⋅ in.) i + ( 528 lb ⋅ in.) j + (192 lb ⋅ in.) k  = ( 620 lb ⋅ in.) i + (1488 lb ⋅ in.) j + (192 lb ⋅ in.) k continued . COSMOS: Complete Online Solutions Manual Organization System M   2 + 192 )  lb in.  = 1623.39 lb ⋅ in. or M = 1.623 kip ⋅ in. λ= ( 620 lb ⋅ in.) i + (1488 lb ⋅ in.) j + (192 lb ⋅ in.) k M = M 1623.39 lb ⋅ in. = 0.38192 i + 0.91660 j + 0.118271k . cosθ x = 0.38192 or θ x = 67.5° cosθ y = 0.91660 or θ y = 23.6° cosθ z = 0.118271 or θ z = 83.2°

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