I think I solved your problem. If you rearrange this equation you should get that r=(something)xd, where r is the radious of the field and d the length of the rope, that should be the relationship between the rope and the radius of the field. I hope I am right.
EDIT> Sorry there is a mistake on...
I forgot to post how I solved the problem. I did the taylor series and then I integrated term by term. I did it a long time ago, but i forgott to post it here.
EDIT: thinking about it I believe I will be stuck with the same problem: integrating a function that has a trigonometric function inside a square root.
Yeah I thought about it, but I had two different directions, but I wasn't sure if I could just use the arc length for the first equation, then...
Yeah, that's the easy way. What I want is to take into account the rotation of earth, while is moving around the sun. Because a point in the surface of the Earth does not travel a circular path around the sun but rather a really "curly" trajectory. So as a first approximation I have flattened...
No, is not. Two days ago it was my father's birthday (he is a nerdy engineer so he will like this kind of present) so I am trying to calculate how much kilometers he has traveled around the sun. And as an approximation I have made the Earth's orbit a straight line, and this is the result of a...
I was just wondering about the path an orbiting particle takes when it's center of circular motion also translates. So as to calculate the distance traveled I know I have to get a function that relates velocity with respect to time and integrate it, but I can't doit, I get stuck integrating. I...
Actually "Time" tends to infinity, coordinate time tends to infinity. But there is a concept called proper time which is invariant no matter what coordinate system you are using which will tend to a value T as you approach the event horizon, and that will be the time the falling object will...
The normal presentation of these gravitational time dilation effects can lead one to a mistaken conclusion: If an external observer sees me falling inside a black hole my time would look like is decreasing asymptotically. It may seem like I would see the opposite effect, seeing the universe...
So, if I just change some things like: The velocity on the x-axis = and the velocity on the y-axis = (v = maximun velocity, w is the angular frequency. x = time and m = the velocity of the circumference.) So can I write that the total velocity = and integrate between the periods of time I...