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

2023
Views:

427

Pages:

1
Author:

pravitate8aj16

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 61. F1 = F1λ1 First note that F2 = F2λ 2 and Let M1 = moment of F2 about the line of action of M1 and M 2 = moment of F1 about the line of action of M 2 Now, by definition ( ) ( ) ( ) ( ) M1 = λ1 ⋅ rB/ A × F2 = λ1 ⋅ rB/ A × λ 2 F2 M 2 = λ 2 ⋅ rA/B × F1 = λ 2 ⋅ rA/B × λ1 F1 Since F1 = F2 = F rA/B = −rB/ A and ( ) M1 = λ1 ⋅ rB/ A × λ 2 F ( ) M 2 = λ 2 ⋅ −rB/ A × λ1 F Using Equation (3.39) ( ) ( λ1 ⋅ rB/ A × λ 2 = λ 2 ⋅ −rB/ A × λ1 so that ( M 2 = λ1 ⋅ rB/ A × λ 2 F ∴ M12 = M 21 . ) )

COSMOS Chapter 3 Solution 61

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