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

2019
Views:

289

Pages:

1
Author:

Madelyn Bradshaw

COSMOS: Complete Online Solutions Manual Organization System Chapter 8, Solution 129. Small belt section: Side view: ΣFy = 0: ΣFx = 0: 2 ∆N α ∆θ sin − T + (T + ∆T )  sin =0 2 2 2 ∆θ (T + ∆T ) − T  cos − ∆F = 0 2 ∆F = µ s ∆N ⇒ ∆T cos Impending slipping: In limit as ∆θ → 0: End view: dT = µ sTdθ α sin So dT µs = dθ α T sin 2 or 2 dT ∆θ 2T + ∆T ∆θ = µs sin α 2 2 sin 2 µ T2 β s ∫ T1 T = α ∫ 0 dθ sin 2 or or ln T2 µβ = s α T1 sin 2 T2 = T1e µ s β /sin α2 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.