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

2023
Views:

53

Pages:

2
Author:

strofamay60

COSMOS: Complete Online Solutions Manual Organization System Chapter 3, Solution 80. ΣF : PC = P = 700 N (a) Based on or PC = 700 N 60° ΣM C : M C = − Px dCy + Py dCx Px = ( 700 N ) cos60° = 350 N where Py = ( 700 N ) sin 60° = 606.22 N dCx = 1.6 m dCy = 1.1 m ∴ M C = − ( 350 N )(1.1 m ) + ( 606.22 N )(1.6 m ) = −385 N ⋅ m + 969.95 N ⋅ m = 584.95 N ⋅ m or M C = 585 N ⋅ m ΣFx : PDx = P cos60° (b) Based on = ( 700 N ) cos 60° = 350 N ΣM D : ( P cos 60°)( d DA ) = PB ( d DB ) ( 700 N ) cos 60° ( 0.6 m ) = PB ( 2.4 m ) PB = 87.5 N or PB = 87.5 N . COSMOS: Complete Online Solutions Manual Organization System ΣFy : P sin 60° = PB + PDy ( 700 N ) sin 60° = 87.5 N + PDy PDy = 518.72 N PD = = )2 + PDy ) 2 ( 350 )2 + ( 518.72 )2 = 625.76 N  PDy  −1  518.72   = tan   = 55.991°  350   PDx  θ = tan −1  or PD = 626 N . 56.0°

COSMOS Chapter 3 Solution 80

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