COSMOS Chapter 8 Solution 34 | Michigan State University - Edubirdie

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

2021
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475

Pages:

1
Author:

Sean Horton

COSMOS: Complete Online Solutions Manual Organization System Chapter 8, Solution 34. FBD Collar: Impending motion down: a −a cosθ Stretch of spring x = AB − a =  a   1  − a  = (1.5 kN/m )( 0.5 m )  − 1 Fs = kx = k  cos cos θ θ      1  = ( 0.75 kN )  − 1  cos θ  N − Fs cosθ = 0 ΣFx = 0: N = Fs cosθ = ( 0.75 kN )(1 − cosθ ) Impending motion up: Impending slip: F = µ s N = ( 0.4 )( 0.75 kN )(1 − cosθ ) = ( 0.3 kN )(1 − cosθ ) + down, – up ΣFy = 0: Fs sin θ ± F − W = 0 ( 0.75 kN )( tan θ or − sin θ ) ± ( 0.3 kN )(1 − cosθ ) − W = 0 W = ( 0.3 kN ) [ 2.5 ( tan θ − sin θ ) ± (1 − cosθ )] with θ = 30°: Wup = 0.01782 kN Wdown = 0.0982 kN ( OK ) ( OK ) Equilibrium if 17.82 N ≤ W ≤ 98.2 N 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.

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