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

2024
Views:

65

Pages:

1
Author:

thyristoreqt

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 112. (a) Have R = ΣF R = ( 25 N )( cos 40°i + sin 40° j) − (15 N ) i − (10 N ) j = ( 4.1511 N ) i + ( 6.0696 N ) j R = ( 4.1511)2 + ( 6.0696 )2 = 7.3533 N  6.0696  θ = tan −1    4.1511  = 55.631° R = 7.35 N or 55.6° (a) and (b) (b) From M B = ΣM B = dRy where M B = − ( 25 N ) cos 40° ( 0.375 m ) sin 50° − ( 25 N ) sin 40° ( 0.375 m ) cos 50° + (15 N ) ( 0.150 m ) sin 50° − (10 N )( 0.150 m ) + 6.25 N ⋅ m ∴ M B = −2.9014 N ⋅ m and d = = MB Ry −2.9014 N ⋅ m 6.0696 N = 0.47802 m or (c) d = 478 mm to the left of B From M B = rD/B × R − ( 2.9014 N ⋅ m ) k = ( −d1 cos 50°i + d1 sin 50° j) × ( 4.1511 N ) i + ( 6.096 N ) j − ( 2.9014 N ⋅ m ) k = − ( 7.0814 d1 ) k ∴ d1 = 0.40972 m or d1 = 410 mm from B along line AB or 34.7 mm above and to left of A .

COSMOS Chapter 3 Solution 112

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