How does the force get cancel out?

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SUMMARY

The discussion centers on the cancellation of forces in a physics problem, specifically addressing the forces F1 and F4. The participant questions why F1 is excluded from the system while F4 is included, despite their apparent similarity. The resolution involves understanding how horizontal and vertical vectors interact, leading to the conclusion that certain forces can indeed cancel each other out based on their directional components.

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Homework Statement



How does the force get cancel out?

Homework Equations





The Attempt at a Solution



Please see the picture.
I don't understand why is F1 not included in the system ?
F1 just looks the same as F4, but F4 is included in the calculation.
Someone told me the horizontal vector and vertical vector somehow cancel out each other but i don't quite get it..
 

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What exactly does the calculation involve?
 
solved the problem!
 

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