MHB Equilibrium Problem: Fbd > Fbc?

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The discussion centers on the relationship between forces Fbd and Fbc, with the solution indicating that Fbd is greater than Fbc. The equation provided shows that Fbd equals 1.4142 times Fbc, confirming that Fbd is indeed larger. This mathematical relationship is the basis for the conclusion drawn in the solution. The clarification emphasizes the importance of understanding force ratios in equilibrium problems. The discussion highlights a key aspect of analyzing forces in physics.
Drain Brain
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Hello! I just want to ask why the solution says that Fbd>Fbc? How did the solver decide that was case? Thanks!
 

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Drain Brain said:
Hello! I just want to ask why the solution says that Fbd>Fbc? How did the solver decide that was case? Thanks!

Hi Drain Brain! :)

2 lines before, we have:
$$F_{BD} = 1.4142 F_{BC} \qquad\qquad (1)$$

So $F_{BD}$ is 1.4142 times as big as $F_{BC}$, meaning $F_{BD} > F_{BC}$.
 

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