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

AI Thread Summary
In free body diagrams, it is common to write the magnitude of vectors if known, typically expressed in units like Newtons or meters per second. If the magnitude is not known, it is advisable to use a variable to represent it and solve for it later. There is no strict convention requiring the magnitude to be written at the start of a problem. Instead, using symbols for both known and unknown quantities allows for clearer algebraic manipulation. Ultimately, numerical values can be substituted at the end of the analysis.
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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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It's not clear what you mean by 'write the magnitude' of a vector. Can you give some examples?
 
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.
 
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?
 
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.
 
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