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

2019
Views:

193

Pages:

1
Author:

hekeldigzjbz

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 54. Free-Body Diagram: For both parts (a) and (b) ( ) l cos (θ + 30° ) cos 30° W − l cos θ + 30o  T   ΣM D = 0: ( ) ( ) + l sin θ + 30o cos 60o  W + l sin θ + 30o  T = 0     or W cos(θ + 60°) + T sin (θ + 30° ) − cos (θ + 30° )  = 0 (a) For T = 0, (1) gives cos (θ + 60° ) = 0 (b) (1) or θ = 30.0° For T = W , (1) gives: cosθ cos 60° − sin θ sin 60° + sin θ cos 30° + cosθ sin 30° − cosθ cos 30° + sin θ sin 30° = 0 or tan θ sin 30° + ( cos 60° + sin 30° − cos 30° ) = 0 Solving for θ : tan θ = 2 ( cos 30° − 1) or θ = −150000° or θ = −15.00°

COSMOS Chapter 4 Solution 54

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