Recent content by ltkach2015

Ltkach2015

I am not following. I should have said: assuming that the Levi Civita 3x3x3 matrix would have to remain the same for orthogonal curvilinear coordinates. That's my own thought as I knew I had to somehow generate the same velocity vector. And I think the article confirms my thinking; I quoted it...

If given a position vector defined for a orthogonal curvilinear coordinate system HOW would the matrices that make up the Levi Civita 3x3x3 matrix remain the same? "Levi Civita 3x3x3 is said to be independent of any coordinate system or metric...

Oh ok! So the sphere's gradient vector would point in the same direction as the circle's negative normal vector?

Ok Why doesn't the normal to space curve contained on a surface not point in the same direction as that surfaces normal vector (gradient)?

Hello I am interested in the Frenet-Serret Formulas (theory of curves?) relationship to theory of surfaces. 1) Can one arrive to the Frenet-Serret Formulas starting from the theory of surfaces? Any advice on where to begin? 2) For a surface that contain a space curve: if the unit tangent...

That is an error on my part. Correction: dy/dt + y = exp(-t) Zero-Initial Condition: y(0) = 0

ASSUMPTIONS: BIBO/stable systems NOTE: zero here does not mean the roots of the denominator in a transfer functionTRUE/FALSE -Please provide feedback- some answers are based on ODE example listed below 1/True) The Homogenous Solution is either zero or transient.; i.e. it can never be steady...

So, I was beginning to build a new and deeper understanding when I noticed that Particular Solutions can also be transient: Thus in that scenario, I believe, the Particular Solutions can, jointly, represent the Transient Response. And as expected there isn't a Steady State Response because the...

Ok. Yes it is interesting. Thank you for the reply.

CONCEPTUAL QUESTIONS: -Does the Homogenous Solution represent the Transient Response? Let me specify. For a N-DOF spring, mass, and damper mechanical system: -Does the Homogenous Solution represent the Transient Response for given mechanical system? MY ANSWER: Yes. ASSUMPTIONS: -only...

Yes I agree the dimensions do look off

Homework Statement [/B] http://www.dartmouth.edu/~sullivan/22files/New%20Laplace%20Transform%20Table.pdf (see item 26a) homogenous solution to underdamped in amplitude phase form: (see attached image) 2. Relevant info - non zero initial conditions: x(t=0) = xo AND dx/dt(t=0) = vo - unforced...

QUESTION: In general: when a flow is considered steady does that mean all properties of the flow are steady? Or: can a flow have steady and unsteady properties?

I think you are totally right about it being on a horizontal plane. This take care of the solution. Wow. Thanks. I don't know what you mean about the directions, I believe I did show them.