COSMOS Chapter 3 Solution 48 - Edubirdie

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

2023
Views:

350

Pages:

1
Author:

Caroline Mcfarland

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 48. Have M y = j ⋅ ( rB ) z × TBA  × j ⋅ ( rC ) z × TCD  where M y = 156 lb ⋅ ft ( rB ) z TBA = ( 24 ft ) k; ( rC ) z = ( 6 ft ) k JJJG ( 4.5 ft ) i − ( 3 ft ) j + ( 9 ft ) k  BA = TBA = TBA  BA ( 4.5)2 + ( − 3)2 + ( 9 )2 ft TBA ( 4.5i − 3j + 9k ) 10.5 JJJG ( 6 ft ) i − ( 3 ft ) j + ( 9 ft ) k  CD = TCD = ( 7.5 lb )  CD ( 6 )2 + ( − 3)2 + ( 9 )2 ft = TCD = ( 5 lb ) i − ( 2.5 lb ) j − ( 5 lb ) k T   Then (156 lb ⋅ ft ) = j ⋅ ( 24 ft ) k × BA ( 4.5i − 3j + 9k )  10.5   { } + j ⋅ ( 6 ft ) k × ( 5 lb ) i − ( 2.5 lb ) j − ( 5 lb ) k  or 156 = 108 TBA + 30 10.5 TBA = 12.25 lb .

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