Which is Better for Mechanics: mg or W (Weight)?

  • Context: High School 
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Discussion Overview

The discussion centers around the preference for using "mg" versus "W" (weight) in mechanics problems, particularly in the context of free body diagrams and related calculations. Participants share their experiences and preferences regarding notation in mechanics.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants prefer using "mg" because it helps them avoid confusion with the term "work" and makes it easier to spot cancellations in equations.
  • Others argue that since "W" is defined as "mg," the choice between the two seems unnecessary, comparing it to preferring one representation of area over another when they are equivalent.
  • Several participants indicate that they use "W" when given weight and "mg" when given mass, suggesting a context-dependent approach.
  • One participant mentions using vector notation for weight (\vec W) to avoid confusion with work.
  • Another participant states a preference for using "F" to denote force, specifically writing "F_g" or "F_{Weight}" to clarify the concept for students.

Areas of Agreement / Disagreement

Participants express differing preferences for notation, with no consensus reached on which is better. Some favor "mg" for clarity, while others see no issue with using "W." The discussion remains unresolved regarding the superiority of one notation over the other.

Contextual Notes

Participants' preferences appear to depend on their familiarity with the terms and the context in which they are working, highlighting a potential ambiguity in the definitions and usage of "weight" and "mass."

CGUE
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When working out problems in mechanics by drawing free body diagrams and so on, I personally find it better to write mg rather than W (weight) because I confuse it with work.
 
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I prefer mg as well.

CS
 
Mg definitely, I find it easier to spot cancellations.
 
This seems like an odd question to me because W = mg is a definition of W so I don't see why people would choose one over the other. To me is like asking whether I like A or LW for the area of a square with sides L and W. Since A = LW how can you choose what you prefer?

Good question in fact. What do you prefer in the equation A = LW. Do you prefer A or do you prefer LW?

Pete
 
Ed Aboud said:
Mg definitely, I find it easier to spot cancellations.

Seconded … same reason. :smile:
 
If I'm given weight I use W and if I'm given mass I use mg. It doesn't really matter, they're the same thing.
 
I use both depending on whether I'm given weight, or mass, like Kurdt. On the other hand, I usually substitute in mg for w whenever I can so, I have to vote for mg.
 
I write \vec W, which won't be confused with work.
 
I never use any letter than capital F to stand for a force, so I write:

F_g

Or sometimes

F_{Weight}

to help the students.
 

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