COSMOS Chapter 3 Solution 37 - Edubirdie

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

2024
Views:

288

Pages:

1
Author:

Tyshawn Shaffer

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 37. First note: rB/ A = ( 0.56 m ) i + ( 0.9 m ) j rC/ A = ( 0.9 m ) j − ( 0.48 m ) k rD/ A = − ( 0.52 m ) i + ( 0.9 m ) j + ( 0.36 m ) k By definition rB/ A = ( 0.56 m )2 + ( 0.9 m )2 rC/ A = ( 0.9 m )2 + ( − 0.48 m )2 rD/ A = ( − 0.52 m )2 + ( 0.9 m )2 + ( 0.36 m )2 = 1.06 m = 1.02 m = 1.10 m rB/ A ⋅ rD/ A = rB/ A rD/ A cosθ or ( 0.56i + 0.9 j) ⋅ ( − 0.52i + 0.9 j + 0.36k ) = (1.06 )(1.10 ) cosθ ( 0.56 )( − 0.52 ) + ( 0.9 )( 0.9 ) + ( 0 )( 0.36 ) = 1.166 cosθ cosθ = 0.44494 θ = 63.6° W .

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