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

2021
Views:

218

Pages:

1
Author:

Nicole Wang

COSMOS: Complete Online Solutions Manual Organization System Chapter 6, Solution 154. Note: The couples exerted by the two yokes on the crosspiece must be equal and opposite. Since neither yoke can exert a couple along the arm of the crosspiece it contacts, these equal and opposite couples must be normal to the plane of the crosspiece. If the crosspiece arm attached to CF is vertical, the plane of the crosspiece is normal to CF, so the couple M C is along CF. (a) FBD CDE: FBD BC: ΣM x = 0: M C − 50 N ⋅ m = 0 ΣM x′ = 0: M A − M C cos 30° = 0 M C = 50 N ⋅ m M A = ( 50 N ⋅ m ) cos 30° M A = 43.3 N ⋅ m W (b) ΣM Cy′ = 0: M C sin 30° + ( 0.5 m ) Bz = 0 ΣM Cz = 0: − ( 0.5 m ) By = 0 ΣF = 0: B + C = 0 FBD CDE: Bz = − ( 50 N ⋅ m )( 0.5) 0.5 m = −50 N so B = − ( 50.0 N ) k W By = 0 C = −B so C = ( 50 N ) k on BC ΣM Dy = 0: − ( 0.4 m ) C z − ( 0.6 m ) Ez = 0 4 Ez = − ( 50 N )   = −33.3 N 6 ΣM Dz = 0: E y = 0 ΣFx = 0: Ex = 0 ΣF = 0: C + D + E = 0 so E = − ( 33.3 N ) k W − ( 50 N ) k + D − ( 33.3 N ) k = 0 D = ( 83.3 N ) k W Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

COSMOS Chapter 6 Solution 154

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