1. Sep 19, 2018 #1

   Bassel AbdulSabour

   

   Why are the resultant's X and Y components of two forces equal the sum of the X and Y components of the two forces?

    

   Bassel AbdulSabour, Sep 19, 2018
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3. Sep 19, 2018 #2

   berkeman

   

   Staff: Mentor

   Why not? What else would they be equal to?

    

   berkeman, Sep 19, 2018
4. Sep 19, 2018 #3

   fresh_42

   

   Insights Author

   2018 Award

   Staff: Mentor

   Because these are the addition laws of a vector space: ##\begin{bmatrix}u_x\\u_y\end{bmatrix}+\begin{bmatrix}v_x\\v_y\end{bmatrix}=\begin{bmatrix}(u+v)_x\\(u+v)_y\end{bmatrix}\,.## This coincides with the geometric vector addition of arrows. But whatever you take as a definition, they should yield the same result.

    

   fresh_42, Sep 19, 2018
5. Sep 19, 2018 #4

   Tom.G

   

   Science Advisor

   
   
   If one more person was added to the right end of the rope, which side would win?

    

   Tom.G, Sep 19, 2018
6. Oct 1, 2018 #5

   hmmm27

   

   Pulling or pushing ?

    

   hmmm27, Oct 1, 2018
7. Oct 10, 2018 #6

   wrobel

   

   Insights Author

   It follows from one of the axioms of Classical mech.: the Principle of Superposition

    

   wrobel, Oct 10, 2018

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