Yes I agree, and my Multi-variable Calculus book states that it is pulled from fluid mechanics. And again, I greatly appreciate your help. This has cleared up a lot of confusion. I got lost in the confusion of all the other sources online that were talking more specifically about mechanics...
1) A conservative vector field is defined; ∫cF⋅dr=0 for every closed path of C in D. Not sure if what you said means the same.
2) Yes an Incompressible F is defined ∇⋅F=0 which is also divF=0.
3) Correct again, an irrotational F is defined ∇xF=0 which is also curlF=0.
They have a relationship...
I'm not sure if that comment was sarcasm or a way to get me to think in a more logical sense but i'll explain what I can in hopes it clears up any confusion on what I am asking. I'm coming here for help and motivation. I might be completely confused and not understand properly but I feel I do...
So I have found that everyone conservative vector field is irrotational in a previous problem. Based on the relationship irrotational vector fields and incompressible vector fields have, div(curl*F)=0, does that also imply every conservative vector field is incompressible?
Kindly,
Shawn
Ok so I know that x(t)=xmaxcos(ωt+Φ), that v(t)=-ωxmaxsin(ωt+Φ), and that ω=2π/T or 2πf or √(k/m). *(Note: xmax is also known as A, for amplitude.)
My specific homework problem ask me to find the angular frequency and the max displacement give the mass of particle, period of oscillation, and the...
I don't need help with my homework problem as I figured out the answers. But I'm still really confused on why it happened to work. I might be over thinking something that is soo simple but I've read over my chapter a few time on Simple Harmonic Motion and can't seem to find an explanation. So...