All Questions
4 questions
0
votes
1
answer
82
views
Rigorous treatment for continuous mass systems
I would like to ask if anyone knows an accessible, yet rigorous way of passing from a discrete system of mass-points to a continuous mass system.
For instance, we clearly know how to define the ...
- 402
5
votes
4
answers
1k
views
Partial derivative in Newtons Second law
Newton's second law states Force is the time derivative of momentum. But is it a total derivative or partial derivative? What is the reason behind it?
- 53
1
vote
1
answer
80
views
What is $\dfrac{\partial x}{\partial t}$ in a progressive wave?
I actually divided the velocity of a particle in a progressive wave $\dfrac{\partial y}{\partial t}$ to $\dfrac{\partial y}{\partial x}$ and got $\dfrac{\partial x}{\partial t}$. Which is equal to $\...
1
vote
2
answers
146
views
Work done as change of potential, how total derivative is converted to partial derivative
I am reading Goldsetein's Classic Mechanics 3rd edition in Chapter 1 it says,
If work done in moving form point 1 to 2 denoted by $W_{12}$, is independent of the path it should be possible to ...
- 113