|May2-10, 12:48 PM||#1|
I am trying to compute the potential for a central force of the form: F(r) = f(r)r
Using the conservative force information, equation1 comes for potential V(r):
equation1: V(r) = [tex]\int [/tex] (-F(r))= [tex]\int [/tex] (-f(r) r)
In wikipedia it is stated that this integral is bounded from |r| to infinity. However I could not understand the reason.
Could someone help me?
|May2-10, 02:57 PM||#2|
Hello mystraid! Welcome to PF!
It has to be bounded from |r| to somewhere …
we can choose that somewhere to be anywhere, but it makes it simplest if we choose it to be ∞ (so the potential is always 0 at ∞).
|May3-10, 04:58 AM||#3|
Thank you for the reply tiny-tim.
And, I have another question. What if the function is dependent on the position vector r but not the magnitude of it?
F(r) = f(r)r
Then is there any potential for such a force, and if so, under what conditions it exists?
|May3-10, 05:06 AM||#4|
I'm sorry, I don't understand.
|May3-10, 05:20 AM||#5|
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