COSMOS Chapter 3 Solution 132 | Answer Key - Edubirdie

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

2024
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170

Pages:

2
Author:

Spechbachfbz

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 132. (a) Have First, reduce the given force system to a force-couple system. ΣF : − ( 50 N ) k − ( 50 N ) j + ( 50 N ) k = R R = − ( 50 N ) j; R = 50 N R = − ( 50.0 N ) j Have ΣM O : ( 0.1 N ⋅ m ) k − ( 0.1 N ⋅ m ) j + ( 0.1 N ⋅ m ) k M OR = − ( 0.1 N ⋅ m ) j + ( 0.2 N ⋅ m ) k (b) Have M1 = λ R × MOR = R ⋅ M OR R = − j ⋅  − ( 0.1 N ⋅ m ) j + ( 0.2 N ⋅ m ) k  = 0.1 N ⋅ m and pitch P= M1 0.1 N ⋅ m = = 0.002 m R 50 N or P = 2.00 mm (c) Have M1 = PR = ( 0.002 m )  − ( 50 N ) j = − ( 0.1 N ⋅ m ) j . = M OR COSMOS: Complete Online Solutions Manual Organization System Note that because M z = ( 0.2 N ⋅ m ) k , the line of action of the wrench must pass through the x-axis to compensate for M z as shown above: With M1 + ( r × R ) = M OR Then − ( 0.1 N ⋅ m ) j +  − ( d ) i × − ( 50N ) j = − ( 0.1 N ⋅ m ) j + ( 0.2 N ⋅ m ) k or ( 50 N )( d )  k = ( 0.2 N ⋅ m ) k and x = − d = − 0.004 m or x = − 4.00 mm, z = 0 . d = 0.004 m

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