What is the convention for writing vector magnitudes in free body diagrams?

In summary, there is no specific convention for writing the magnitude of vectors in free body diagrams. It is common to use symbols for both known and unknown quantities and then solve for the magnitude algebraically, rather than writing it at the beginning of the problem.
  • #1
alingy1
325
0
Do you normally write the magnitude of the vectors in free body diagrams? I have homework on this. Is there any convention when writing the magnitude?
 
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  • #2
It's not clear what you mean by 'write the magnitude' of a vector. Can you give some examples?
 
  • #3
I'm not sure what you are asking. Sure you write the magnitude (in Newtons or whatever) if you know it. Otherwise, write it as a variable and try to solve for it later.
 
  • #4
Magnitude as in the "length" or norm of the vector i.e. 5N, or 4m/s.
So, there's no convention that forces you to write the magnitude if you know it at the beginning of a problem?
 
  • #5
One is usually better off using symbols for known and unknown quantities alike, and using algebra to express unknowns via knowns. The numbers can be plugged in at the very end.
 

What is a free body diagram convention?

The free body diagram convention is a method used in physics to represent and analyze the forces acting on an object. It involves drawing a simplified diagram of the object and labeling all the external forces acting on it.

Why are free body diagrams important in science?

Free body diagrams are important because they allow us to visually understand and analyze the forces acting on an object. By using this convention, we can accurately determine the net force and direction of an object's motion.

What are the key components of a free body diagram?

The key components of a free body diagram include the object being analyzed, labeled arrows representing the forces acting on the object, and a coordinate system to indicate the direction and magnitude of the forces.

Can a free body diagram be used for objects in motion?

Yes, free body diagrams can be used for objects in motion. They are especially useful in analyzing the forces acting on an object at different points in its motion, such as at the beginning and end of a projectile's path.

Are there any limitations to the free body diagram convention?

The free body diagram convention has limitations in situations where the object is in a complex environment with multiple interacting forces or when the object is in motion with changing forces. In these cases, more advanced methods may be needed to accurately analyze the forces acting on the object.

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