For my next exercise I'm to derive the case where N >> q. In these simple idealized cases of 2 solids interacting. So big q is high temp case- I think.
I've already used the sterling approximation to get the factorials out of the equation and now I'm just hashing it into best form.
many...
How does the following expand;
(q + N )*ln(q +N)
I'm Trying to arrive at sterling approximation for the multiplicity for einstein solid where q>>N. Any tips appreciated.
Thanks
Solved it
ok it was simple and I apologize to anyone who tried to read my post. The (zo -z)^2 term never belonged there- Just lack of sleep r in terms of R easy.
No biggie-- hard part, I know is evaluating the result of the set up but looks like integration by parts--
Still, need practice...
Peliminary inspection of these sites shows a lot about techniques for solving integrals but not a lot on setting one up for the situations I tried to describe. Maybe what I'm looking for is a good mechanics text. The one I have has examples in it that I can't follow, not because my integration...
Can anyone reccomend a website, or text, where there are step by step examples of setting up area and volume integrals where your looking for forces. I need to be able to do set ups for situations similar to the following :find the gravitational field vector on surface point of a cylinder or...
I'm having trouble with 2 problems in my mechanics textbook.
First: A particle dropped into a hole drilled straight through the center of the earth. Neglecting rotational effects, show that the particles motion is simple harmonic if you assume Earth has uniform density. Show that the...
Ahh F= (ax) jhat
F = (ax)jhat was the non consertive force function that was discussed in class. Starting to make sense now. Let's see what I can do before I get stuck again.
Kudos to arildno and eheld .
Error
I've got to do some work before I can post again. What I meant in the last post was F= -ma/x^2 and not the mass times the integral of the velocity function.
Thanks
Yes I've verified that it's zero, and I must have something wrong with my problem statement. I know it's supposed to be the motion of a particle with only force only in the x direction. I think something like an object sliding across a table is not conservative. Energy is lost through...
No, I'm having trouble with the second function too. I'm looking in a calc. book and trying to follow the text example.
Let me ask you this: If I have a function , F(x,y,z) = (x^3 y^2 z)i + (x^2 z)j +(x^2 y)k
Then the fx(partial with respect to x )is, fx = 3x^2 y^2 z +2xz + x^2xy ?
I...
Then its obvious I'm down the wrong path. I'll wait for the professor's response because its likely I've not got the statement of the problem correct.
I will post again when I have the problem and result correct.
Thanks for your patience
I really appreciate your help but I'm certain that the result I'm looking for is that F = ax ( a fprce that is a function of position in this case) is not a conservative force. I know you can take the integral to get the potential, but only if as you said this Force is conservative.
I...
F = ax is a scalar representing the force in on direction -- x only.
Such a force is not conservative and there's got to be a way to come up with the expression for a curl in the z direction. Now, this is probably no help but the gradient of a scalar is a vector. I know its simple but I...