COSMOS Chapter 8 Solution 20 - Edubirdie

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

2024
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381

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1
Author:

Athena Harrison

COSMOS: Complete Online Solutions Manual Organization System Chapter 8, Solution 20. FBD: (a) ΣM C = 0: r ( F − T ) = 0, T = F Impending slip: F = µ s N or N = ΣFx = 0: F µs = T µs F + T cos ( 25° + θ ) − W sin 25° = 0 T 1 + cos ( 25° + θ )  = W sin 25° ΣFy = 0: (1) N − W cos 25° + T sin ( 25° + θ ) = 0  1  + sin ( 25° + θ )  = W cos 25° T 0.35   Dividing (1) by (2): (2) 1 + cos ( 25° + θ ) = tan 25° 1 + sin ( 25° + θ ) 0.35 Solving numerically, 25° + θ = 42.53° θ = 17.53° (b) From (1) T (1 + cos 42.53° ) = W sin 25° T = 0.252W 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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