COSMOS Chapter 4 Solution 30 - Edubirdie

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

2021
Views:

133

Pages:

1
Author:

Tyshawn Shaffer

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 30. Free-Body Diagram: Geometry: Distance BC = ( 4 ) 2 + ( 3)2 Distance CD = (14 )2 + ( 3)2 = 5 in. = 14.3178 in. Equilibrium for bracket: ΣΜ A = 0: 4  3 3   14    T  ( 4 in.) −  T  ( 9 in.) +  T  ( 4 in.) +  T  ( 9 in.) = 0 5 5 14.3178 14.3178         (10 lb )( 9 in.) −  T = 32.108 lb or T = 32.1 lb 4  14  Ax +   ( 32.108 lb ) −   ( 32.108 lb ) = 0 5  14.3178  ΣFx = 0: Ax = 5.7089 lb ΣFy = 0: Ay + 3 3  ( 32.108 lb ) +   ( 32.108 lb ) + 10 lb = 0 5  14.3178  Ay = −35.992 lb Ax2 + Ay2 = Thus: A= and θ = tan −1 Ay Ax ( 5.7089 )2 + ( −35.992 )2 = tan −1 = 36.442 lb 35.992 = 80.987° 5.7089 ∴ A = 36.4 lb 81.0°

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