Three forces, FA, FB, and FC, intersect at the origin. Only 2 of these forces are shown on the diagram. Find the magnitude of FC and its direction coordinate angles for equilibrium, given: FA = 825 N, α = 150 °, β = 75 ° FB = 600 N, θ = 20 °, Φ = 30 °

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter10: Virtual Work And Potential Energy
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Problem 10.33P
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Three forces, FA, FB, and FC, intersect at the origin. Only 2 of these forces are shown on the diagram. Find the magnitude of FC and its direction coordinate angles for equilibrium, given:
FA = 825 N, α = 150 °, β = 75 °
FB = 600 N, θ = 20 °, Φ = 30 °

 

Answers

 The magnitude of FC is:

   

FC = 798 N

   

FC = 455 N

   

FC = 331 N

   

FC = 308 N

   

FC = 522 N

 

The direction coordinates angles of FC are:

αC

   

 αC=69.1 °

   

 αC=60.2 °

   

 αC=40.7 °

   

 αC=106 °

   

 αC=43.8 °

 

βC

 

   

βC=101 °

   

βC=262 °

   

βC=149 °

   

βC=171 °

   

βC=109 °

 

γC

   

γC=65.3 °

   

γC=70.3 °

   

γC=111 °

   

γC=96.7 °

   

γC=1.70E2 °

FB
Three forces, FA. FB. and Fc. intersect at the origin. Only 2 of these forces are shown on the diagram. Find the magnitude of Fc and its
direction coordinate angles for equilibrium, given:
FA = 825 N, a = 150 °, B= 75
Fe = 600 N, 0= 20°, = 30 °
Transcribed Image Text:FB Three forces, FA. FB. and Fc. intersect at the origin. Only 2 of these forces are shown on the diagram. Find the magnitude of Fc and its direction coordinate angles for equilibrium, given: FA = 825 N, a = 150 °, B= 75 Fe = 600 N, 0= 20°, = 30 °
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