COSMOS Chapter 4 Solution 29 | Michigan State University - Edubirdie

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

2020
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484

Pages:

1
Author:

Arielle Armstrong

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 29. Free-Body Diagram: Geometry: AB = Distance (0.3)2 + (0.125)2 = 0.325 m Equilibrium for bracket: 0.3   0.125  T  ( 0.175 m ) −  T  ( 0.225 m ) + T ( 0.075 m ) = 0  0.325   0.325  (150 N )( 0.225 m ) −  ΣΜ C = 0: T = 195.000 N T = 195.0 N  0.3  Cx +  T  (195 N ) = 0  0.325  ΣFx = 0: C x = −180.000 N ΣFy = 0:  0.125  C y − 150 N +  T  (195 N ) + 195 N = 0  0.325  C y = −120.000 N C x2 + C y2 = Thus: C = and θ = tan −1 Cy Cx ( −180 )2 + ( −120 )2 = tan −1 = 216.33 N 120 = 33.690° 180 ∴ C = 216 N 33.7°

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