COSMOS Chapter 4 Solution 25 | Answer Key - Edubirdie

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

2024
Views:

461

Pages:

1
Author:

Nicole Wang

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 25. Free-Body Diagram: Geometry: x AC = ( 8 in.) cos 20° = 7.5175 in. y AC = ( 8 in.) sin 20° = 2.7362 in. ⇒ yDA = 9.6 in. − 2.7362 in. = 6.8638 in.  yDA  −1  6.8638   = tan   = 42.397° x  7.5175   AC  α = tan −1  β = 90° − 20° − 42.397° = 27.603° Equilibrium for lever: (a) TAD cos 27.603° ( 8 in.) − ( 60 lb ) (12 in.) cos 20° = 0 ΣM C = 0: TAD = 95.435 lb (b) TAD = 95.4 lb Cx + ( 95.435 lb ) cos 42.397° = 0 ΣFx = 0: C x = −70.478 lb C y − 60 lb − ( 95.435 lb ) sin 42.397° = 0 ΣFy = 0: C y = 124.348 lb Cx2 + C y2 = Thus: C = and θ = tan −1 Cy Cx (−70.478)2 + (124.348) 2 = 142.932 lb = tan −1 124.348 = 60.456° 70.478 ∴ C = 142.9 lb 60.5°

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