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 °
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
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.33P
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Question
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 ° |
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αC=40.7 ° |
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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 ° |
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