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

2023
Views:

84

Pages:

1
Author:

Quintin Ware

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 42. First locate point B: 3.5 d = 22 14 d = 5.5 m or (a) Locate point D: ( −3.5 − 7.5sin 45° cos10° ) , (14 + 7.5cos 45° ) , ( 0 + 7.5sin 45° sin10° ) m or ( −8.7227 m, 19.3033 m, 0.92091 m ) Then d DC = ( 5.2227 m ) i − ( 5.3033 m ) j − ( 0.92091 m ) k and d DB = ( −5.5 + 8.7227 )2 + ( 22 − 19.3033)2 + ( 0 − 0.92091)2 m = 4.3019 m and cos θ BDC = ( 3.2227i + 2.6967 j − 0.92091k ) ⋅ ( 5.2227i − 5.3033j − 0.92091k ) d DB ⋅ d DC = d DB d DC ( 4.3019 )( 7.5) = 0.104694 or (b) (TBD )DC = TBD cosθ BDC = ( 250 N )( 0.104694 ) or . θ BDC = 84.0° W (TBD )DC = 26.2 N W

COSMOS Chapter 3 Solution 42

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