COSMOS Chapter 4 Solution 42 | Answer Key - Edubirdie

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

2019
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486

Pages:

1
Author:

omiliar74be

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 42. Free-Body Diagram: Equilibrium for bracket: ΣFy = 0: T sin 30° − 270 N = 0 T = 540 N Tx = ( 540 N ) cos 30° = 467.65 N, and Note that: Ty = ( 540 N ) sin 30° = 270 N Thus Ty and the 270-N force form a couple: 270 N ( 0.25 m ) = 67.5 N ⋅ m clockwise ΣM B = 0: ( 467.65 N )( 0.125 m ) − 67.5 N ⋅ m + FCD ( 0.2 m ) = 0 FCD = 45.219 N or FCD = 45.219 N ΣFy = 0: FAB + 45.219 N − 467.65 N = 0 FAB = 422.43 N or FAB = 422.43 N Thus, both FCD and FAB act to the right, i.e. these forces are exerted on the bracket by rollers D and B, respectively. Rollers A and C exert no force. The forces exerted on the post are the opposites of the forces exerted on the bracket: A =C=0 B = 422 N D = 45.2 N

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