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

2022
Views:

161

Pages:

1
Author:

Arielle Armstrong

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 41. First locate point B: d 3.5 = 22 14 d = 5.5 m or d BA = (a) ( 5.5 + 0.5)2 + ( −22 )2 + ( −3)2 = 23 m Locate point D: ( −3.5 − 7.5sin 45° cos15° ) , (14 + 7.5cos 45° ) , ( 0 + 7.5sin 45° sin15° ) m or ( −8.6226 m, 19.3033 m, 1.37260 m ) Then d BD = ( −8.6226 + 5.5)2 + (19.3033 − 22 )2 + (1.37260 − 0 )2 m = 4.3482 m and cosθ ABD = ( 6i − 22 j − 3k ) ⋅ ( −3.1226i − 2.6967 j + 1.37260k ) d BA ⋅ d BD = d BA d BD ( 23)( 4.3482 ) = 0.36471 or (b) (TBA )BD θ ABD = 68.6° W = TBA cosθ ABD = ( 230 N )( 0.36471) or (TBA ) BD = 83.9 N W .

COSMOS Chapter 3 Solution 41

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