COSMOS Chapter 3 Solution 82 - Edubirdie

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

2021
Views:

159

Pages:

1
Author:

Athena Harrison

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 82. Based on ΣFx : − ( 54 lb ) cos 30° = − FB cos α − FC cos α ( FB + FC ) cosα = ( 54 lb ) cos 30° ( 54 lb ) sin 30° = ΣFy : (1) FB sin α + FC sin α or ( FB + FC ) sin α = ( 54 lb ) sin 30° From (2) Eq ( 2 ) : tan α = tan 30° Eq (1) ∴ α = 30° Based on ΣM C : ( 54 lb ) cos ( 30° − 20° )  (10 in.) = ( FB cos10° )( 24 in.) ∴ FB = 22.5 lb From Eq. (1), or FB = 22.5 lb 30° or FC = 31.5 lb 30° ( 22.5 + FC ) cos 30° = ( 54 ) cos 30° FC = 31.5 lb .

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