COSMOS Chapter 3 Solution 109 - Edubirdie

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

2021
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163

Pages:

1
Author:

nesifenqof5i

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 109. (a) Position origin along centerline of sheet metal at the intersection with line EF. (a) ΣF = R Have R =  − 0.52 j − 1.05 j − 2.1( sin 45° i + cos 45° j) − 0.64 i  kips R = − ( 2.1249 kips ) i − ( 3.0549 kips ) j ( − 2.1249 )2 + ( − 3.0549 )2 R= = 3.7212 kips  − 3.0549   = 55.179°  − 2.1249  θ = tan −1  or Have R = 3.72 kips 55.2° M EF = ΣM EF Where M EF = ( 0.52 kip )( 3.6 in.) + (1.05 kips )(1.6 in.) − ( 2.1 kips )( 0.8 in.) − ( 0.64 kip ) (1.6 in.) sin 45° + 1.6 in. = 0.123923 kip ⋅ in. To obtain distance d left of EF, Have M EF = dRy = d ( − 3.0549 kips ) d= 0.123923 kip ⋅ in. = −0.040565 in. − 3.0549 kips or d = 0.0406 in. left of EF (b) Have M EF = ΣM EF = 0 M EF = ( 0.52 kip )( 3.6 in.) + (1.05 kips )(1.6 in.) − ( 2.1 kips )( 0.8 in.) − ( 0.64 kip ) (1.6 in.) sin α + 1.6 in. ∴ (1.024 kip ⋅ in.) sin α or . = 0.848 kip ⋅ in. α = 55.9°

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