Recent content by Ataman

This hasn't been asked before, and I am more or less new to this subject. Therefore, I haven't done an attempt on the solution. Say we have a 2 dimensional square of sides "a". 2 forces "F" of equal magnitude and opposite direction act on the opposite ends of the square such that the square...

But since Coulomb's law for point charges can be derived from Gauss' Law, you can use Gauss's Law for anything (I mean on a practical level). Which is why many books insist on Gauss's Law being more fundamental than Coulumb's Law. Isn't this the case with the modified Ampere's Law as well...

*Bump* I am interested in this as well. -Ataman

Well, you could prove by brute force integration that the planet acts as a point source and the gravity field is symmetric. -Ataman

Electric potential is the work it takes per unit charge to bring that charge from zero potential (usually infinity) to the point in question. In a line integral, dl is never negative. The limits (the beginning and end of the path) define whether the work done is negative. V=\frac{W_{_{by...

Again, I was having trouble with something that I think I resolved, but I still lack the confidence in these problems, so I am asking people to check my solution. Homework Statement A pendulum of mass M with a massless string length L is released from the horizontal. Theta initial is 90...

There are some awesome online demonstrations done by an MIT professor during his lectures. ocw.mit.edu/OcwWeb/Physics/8-01Physics-IFall1999/VideoLectures/index.htm Something (I suggest) you could try in your high school physics class is discuss bernoulli's equation. Explain why the glass of...

Many thanks for pointing those out, Shooting Star. All of my mistakes came from several minus signs I forgot to put in for the acceleration of 2 relative to the ground (a_{_{2GX}}). Here is a more correct version, for those who care. :) -Ataman

Homework Statement A mass m[SIZE="1"]1 sits on an incline with mass m[SIZE="1"]2 and angle \theta. Find the accelerations of m[SIZE="1"]1 and m[SIZE="1"]2 relative to the ground after they are released. This is a long and tricky problem (since we do not know the normal forces, and we have...

Given a series RLC Circuit driven by a generator, Kirchhoff's Loop Rule gives: V_{peak} cos \omega t - L\frac{di}{dt} - IR - \frac{Q}{C} = 0 - OR - V_{peak} cos \omega t = L\frac{d^{2}Q}{dt^{2}} + \frac{dQ}{dt}R + \frac{Q}{C} I have never done second order differential equations, so...

So why does Coulomb's Law not work for charges in Motion? -Ataman

You do both of them by parts. You can rewrite this as: \int (lnx)(lnx) dx with u = lnx dv = lnx dx To integrate lnx dx, you have to do it by parts again. After that, it is very simple. Again, you can rewrite this integral as something you could do by parts. \int...

That's what I meant. Excuse me. -Ataman

In the above derivation, the density is constant, so it is not defined by a vector. What I am looking for is a case where there is a varying density within the region. -Ataman

I am looking for a way to find the center mass of an object whose area is enclosed by x^{2} and \sqrt{x} without computing the x and y separately (a great deal of paperwork). So... M\overrightarrow{R_{cm}} = \int \overrightarrow{r} dm \sigma = \frac{M}{A} = \frac{dm}{dA} \sigma A...