COSMOS Chapter 3 Solution 131 | Answer Key - Edubirdie

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

2024
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419

Pages:

2
Author:

Mugrauauu

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 131. First, reduce the given force system to a force-couple at the origin. Have ΣF : − (10 N ) j − (11 N ) j = R ∴ R = − ( 21 N ) j Have ΣM O : Σ ( rO × F ) + ΣM C = M OR M OR i j k i j k = 0 0 0.5 N ⋅ m + 0 0 −0.375 N ⋅ m − (12 N ⋅ m ) j 0 −10 0 0 −11 0 = ( 0.875 N ⋅ m ) i − (12 N ⋅ m ) j R = − ( 21 N ) j (a) R = − ( 21.0 N ) j Have M1 = λ R ⋅ M OR (b) or λR = R R = ( − j) ⋅ ( 0.875 N ⋅ m ) i − (12 N ⋅ m ) j = 12 N ⋅ m and pitch P = (c) and M1 = − (12 N ⋅ m ) j M1 12 N ⋅ m = = 0.57143 m R 21 N Have or P = 0.571 m M OR = M1 + M 2 ∴ M 2 = M OR − M1 = ( 0.875 N ⋅ m ) i Require ∴ ( 0.875 N ⋅ m ) i = ( xi + zk ) ×  − ( 21 N ) j 0.875i = − ( 21x ) k + ( 21z ) i . M 2 = rQ/O × R COSMOS: Complete Online Solutions Manual Organization System From i: 0.875 = 21z ∴ z = 0.041667 m From k: 0 = −21x ∴ z =0 ∴ The axis of the wrench is parallel to the y-axis and intersects the xz-plane at x = 0, z = 41.7 mm .

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