COSMOS Chapter 3 Solution 49 - Edubirdie

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

2024
Views:

164

Pages:

1
Author:

Sean Horton

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 49. Based on M x = ( P cos φ ) ( 0.225 m ) sin θ  − ( P sin φ ) ( 0.225 m ) cosθ  By (1) M y = − ( P cos φ )( 0.125 m ) (2) M z = − ( P sin φ )( 0.125 m ) (3) Equation ( 3) M z − ( P sin φ )( 0.125 ) : = Equation ( 2 ) M y − ( P cos φ )( 0.125 ) or −4 = tan φ ∴ − 23 φ = 9.8658° or φ = 9.87° From Equation (2) − 23 N ⋅ m = − ( P cos 9.8658° )( 0.125 m ) P = 186.762 N or P = 186.8 N From Equation (1) 26 N ⋅ m = (186.726 N ) cos 9.8658° ( 0.225 m ) sin θ  − (186.726 N ) sin 9.8658° ( 0.225 m ) cosθ  or 0.98521sin θ − 0.171341cosθ = 0.61885 Solving numerically, θ = 48.1° .

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