Tackling a Physics Problem: My Attempt

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The discussion focuses on solving a physics problem involving vector forces and their resultant direction. The original poster attempts to derive an equation for F2 using trigonometric relationships but realizes their diagram was incorrect. They seek clarification on whether their method could still yield a solution despite the error. The importance of accurately drawing vectors at the point of action is emphasized for proper analysis. The conversation highlights the necessity of correct visual representation in solving physics problems.
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Homework Statement




The problem and my attempt are given

Originally i put this in the upper level physics section, i made a mistake, it should go here.

[PLAIN]http://img266.imageshack.us/img266/5495/lasts02can.jpg
 
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The direction of the resultant is given by

tan75 = ( F3 + F2sinθ )/(F1 - F2cosθ)

F1tan75 - F2cosθtan75 = F3 + F2sinθ

Find F2. The condition for minimum F2 cab be found by finding d(F2)/dθ and equating it to zero. You will get the value of θ.
 
So my diagram was completley off. Was there a way to achieve the solution using my method?
 
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Matt1234 said:
So my diagram was completley off. Was there a way to achieve the solution using my method?

Draw all the vectors at the point of action.
 

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