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0 votes
1 answer
48 views

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}=&-\...
flyingbirds's user avatar
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 ...
Solidification's user avatar
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 ...
George Farah's user avatar
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 ...
S L's user avatar
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