Which equation is correct about the forces

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SUMMARY

The correct equation regarding the forces in the discussed problem is \(\displaystyle 15 = F\tan \theta\). The initial assumption that the book's answer "D" was correct was proven incorrect upon further analysis. The missing normal force "N" was also noted as a critical component in the equation. The discussion highlights the importance of verifying calculations and understanding the relationships between forces in physics problems.

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Homework Statement


2rtzt.jpg


The books answer is "D", no clue why though, Any one can explain?
Thank you
 
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[strike]If you add those 15N and F, the resulting force has to have the same angle theta relative to the horizontal axis. If you draw a triangle there, you directly get the relation.[/strike]

Edit: Oh crap, Curious3141 is right. I did not check the result, just saw that you get the tan there.
And strictly speaking, there is a "N" missing as well.
 
Last edited:
captinkareem1 said:

Homework Statement


2rtzt.jpg


The books answer is "D", no clue why though, Any one can explain?
Thank you

All the given options are wrong. The correct answer is ##\displaystyle 15 = F\tan \theta##, which is not one of the given options, even though "D" is closest.
 

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