COSMOS Chapter 3 Solution 145 | Michigan State University - Edubirdie

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

2019
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327

Pages:

1
Author:

avoigninjundauff

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 145. First note and AC = rC/ A = ( −2.4 )2 + (1.8)2 AD = rD/ A = (1.2 )2 + ( −2.4 )2 + ( 0.3)2 m = 3m m = 2.7 m rC/ A = − ( 2.4 m ) j + (1.8 m ) k rD/ A = (1.2 m ) i − ( 2.4 m ) j + ( 0.3 m ) k By definition rC/ A ⋅ rD/ A = rC/ A rD/ A cosθ or ( −2.4 j + 1.8k ) ⋅ (1.2i − 2.4 j + 0.3k ) = ( 3)( 2.7 ) cosθ ( 0 )(1.2 ) + ( −2.4 )( −2.4 ) + (1.8)( 0.3) = 8.1cosθ and cosθ = 6.3 = 0.77778 8.1 θ = 38.942° or θ = 38.9° .

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