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

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In summary, the conversation revolves around the preference of using mg or W (weight) when working out problems in mechanics. Some individuals find it easier to spot cancellations when using mg, while others use W if given weight and mg if given mass. It is noted that W = mg is a definition, similar to A = LW for the area of a square, and there is no clear reason to choose one over the other. Some individuals also use \vec W or F_g to represent weight in order to avoid confusion with work.
  • #1
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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  • #2
I prefer mg as well.

CS
 
  • #3
Mg definitely, I find it easier to spot cancellations.
 
  • #4
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
 
  • #5
Ed Aboud said:
Mg definitely, I find it easier to spot cancellations.

Seconded … same reason. :smile:
 
  • #6
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.
 
  • #7
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.
 
  • #8
I write [tex]\vec W[/tex], which won't be confused with work.
 
  • #9
I never use any letter than capital F to stand for a force, so I write:

[tex]F_g[/tex]

Or sometimes

[tex]F_{Weight}[/tex]

to help the students.
 

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

What is the difference between mg and W (Weight)?

MG, or mass times acceleration due to gravity, is a measure of an object's weight in Newtons. On the other hand, W (Weight) is a measure of the force exerted on an object by gravity. Essentially, mg is a mathematical expression while W is a physical quantity.

Which one is more important for mechanics: mg or W (Weight)?

In mechanics, both mg and W play important roles. Mg is used to calculate the weight of an object, which is essential for understanding its motion and acceleration. W, on the other hand, is used to calculate the force of gravity acting on an object. Both are important for understanding the dynamics of an object in motion.

Can mg and W (Weight) be used interchangeably in calculations?

No, mg and W cannot be used interchangeably in calculations. While they are related to each other, they represent different quantities and have different units of measurement. Mixing them up in calculations can lead to incorrect results.

How do mg and W (Weight) affect an object's motion?

Both mg and W (Weight) play a role in determining an object's motion. Mg is used to calculate the weight of an object, which affects its acceleration due to gravity. W, on the other hand, is used to calculate the force of gravity acting on an object, which can affect its motion and trajectory. In simple terms, mg and W are both important factors in determining how an object moves under the influence of gravity.

Are there any other factors besides mg and W (Weight) that affect an object's motion?

In addition to mg and W, other factors such as air resistance, friction, and external forces can also affect an object's motion. These factors may need to be taken into account when analyzing the motion of an object in more complex scenarios.

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