All Questions
4
questions
0
votes
1
answer
48
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Friction or not?
Say I have a differential equation in $\mathbb{R}^n$, Newtons Equation :
\begin{align}
\frac{d\gamma(t)}{dt}=&\dot{\gamma}(t),
\nonumber
\\
\frac{d\dot{\gamma}(t)}{dt}=&-\...
0
votes
3
answers
481
views
What are the necessary and sufficient conditions for a motion to be periodic?
Consider the following idealized motions
(i) The motion of a bob attached to a spring on a horizontal frictionless table,
(ii) the motion of a pendulum with an arbitrary amplitude without air ...
3
votes
0
answers
89
views
could a force with corolios and centrifugal terms be written as a potential gradient? [duplicate]
I have an exam in classical mechanics next week, so I came across this problem which I did not fully understand nor any of my colleagues (it was a bonus problem in an old exam) I just want some hint ...
12
votes
4
answers
35k
views
Force as gradient of scalar potential energy
My text book reads
If a particle is acted upon by the forces which are conservative; that is, if the forces are derivable from a scalar potential energy function in manner $ F=-\nabla V $.
I was ...