Recent content by uriwolln

:) Thank you so much tiny!

AWESOME! Thanks for that. Tell me please though, if I did write x to be x - B/A then I think I should be using x - B/A for the potential energy as the x there: 0.5Kx^2. Correct?

:) actually I did guess. Well, I mean, I figured because it was the coefficient of x, then it would be reasonable to assume that, that is K. X would be the answer for the differential equation I got previous.

then K should be: k = (ρlg/ρcH) So potential energy is as well 0.5Kx2?

Thanks again!

:) ρcpir2Hx'' = ρcpir2Hg - ρl(pir2(H/2 - x) x'' + x(ρlg/ρcH) = g(1-ρl/2ρc) Which x then I know is oscillating. But then where does K come in?

mx? why am I meaning mx? m as in mass? and x as displacement? Then where does K come in? (I am not being disrespectful I hope, I really liked your comment, which made me laugh, because I really do not know why should I use mx)

Here goes: Kx = (pir2H)g - ρ(pir2(H-x)g/2) K = (pir2Hg/2x) + ρ(pir2g)/2

:) true... forgot that for a sec... but is this the equation I should go for? K being a function of x? Then the whole potential energy is going wrong, because K is not constant, or does it? ( I think K should be constant to use k(x^2)/2)

So let's see: kx=mg - ρVg ==> k = (mg - ρVg)/2 ? and then potential energy: k(x^2)/2?

:) Did not think of it this way. But then, what will be 'k' equal to? How do I work the algebra for it? and will the potential energy of it all will indeed be k(x^2)/2?

The problem was: A cylinder is placed inside water, and it is in equilibrium when half of the cylinder height is submerged. So I Know there is the archimedes principle which causes a force upwards and then there is gravity downwards. This problem was part of question somewhere, but in the...

Hey all, I have seen that these two forces combined together have the potential energy of a spring with a constant 'K' as a combination of some sort of the two forces. I have no idea how am I to find this K. All I know Mgh + ρVgh gives the potential energy of a given system let's say. help?

Unfortunately, I am unfamiliar with the first 2 theorems, but I can explain you the superposition one. Imagine, for instance, you have got a known amount of charged particles in space, and you would like to know the electric field at a specific point in space, you would simply add each force...

AWESOME! Thank you SO much for your patience. I do have an upcoming test which most definitely will include this kind of question. I tried to understand this subject for like a month, and in a few hours doing this question have proven VERY valuable. Thank you!