Understanding Freebody Diagrams: Solving for Forces & Direction | Quick Help

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Discussion Overview

The discussion revolves around the use of freebody diagrams in physics, specifically addressing the summation of forces in the X and Y directions. Participants explore whether the order of forces listed in these equations matters and how to properly account for components of forces, including gravity.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions if there is a specific order for listing forces in the summation equations and how the X component of gravity fits into this.
  • Another participant asserts that the order of addition does not matter due to the associative and commutative properties of real numbers, as long as the signs are correct.
  • Several participants agree that the order does not matter, reiterating that addition is commutative, while also playfully questioning the existence of a horizontal component of gravity.
  • A suggestion is made to write the sum of forces vectorially first, then break them into components while keeping order for bookkeeping purposes.

Areas of Agreement / Disagreement

Participants generally agree that the order of forces in the summation does not matter as long as the signs are correct. However, there is a playful debate regarding the horizontal component of gravity, indicating some uncertainty in that aspect.

Contextual Notes

Some assumptions about the definitions of forces and their components may not be explicitly stated, and the discussion does not resolve the question of gravity's horizontal component.

Who May Find This Useful

This discussion may be useful for students learning about freebody diagrams, instructors teaching physics concepts, and anyone interested in the mathematical properties of vector addition in physics.

0338jw
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Hello all. I had a question about freebody diagrams. I know how to draw them and solve for forces/acceleration/mass/friction but one thing I was confused about is when you list summation of forces in either X or Y direction if there's a specific order to list them in, or if it matters. I know to list forces like Force of tension - Force friction =max but where would the X component of gravity fit in? I know the +/- symbols account for direction of the vector but does it matter in which order the forces are put in? Thanks for any and all help in advance! Hoping for a quick reply.
 
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real numbers are associative and commutative (a mathematical property meaning it doesn't matter in what order you add/subtract them). 1 + 2 = 3 as does 2 +1
 
Last edited:
Order doesn't matter (as long as you have the signs right). Addition is commutative: A + B = B + A.

(Does gravity have a horizontal component? :wink:)
 
Doc Al said:
Order doesn't matter (as long as you have the signs right). Addition is commutative: A + B = B + A.

(Does gravity have a horizontal component? :wink:)

Thanks guys! I had a feeling I wasn't just getting lucky each time :D.

It sure does when you turn your paper theta degrees, haha.

I look forward to posting more and contributing, as I was a lurker before this. You guys are very helpful and damn fast! Again, thanks guys.
 
I'd suggest that you first write the "SUM of the Forces" vectorially.
[tex]\vec T+ \vec W+\vec f[/tex] (order not important), then choose your axes, then break into components...
[tex]T_x+ W_x+ f_x[/tex] (keep order for bookkeeping)
[tex]T_y+ W_y+f_y[/tex],
then write "0" or the appropriate signed quantities for certain components.
 

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