Wow thank you! I don't know why I got so confused by that... totally over-thought it..
Amazing how much my mathematics skills have left me in just 1.5 years of not using them...
yes that is understood... but how do we go from f(r)~1/r to f(r)~1/(2πRr) ??
if we set up an integral normalized to 1 with limits of integration are 0 to R and 0 to 2π, we would have
1 = ∫∫f(r) * r * dr *dθ ... add in a term of 1/r and we have
1 = ∫∫f(r) * 1/r * r * dr *dθ ...
1 =...
BUMP
I'm thinking I need to somehow integrate 1/R over the circumference of infinitesimal rings to get an equation:
normalized to equal 1 of course...
1=f(r)*(2pi*r)(R)
But how and why could I do this? What would allow me to integrate this way?
Thank you!
sorry, I meant just points. Updated in first post..
Will post any alternate link to Jaynes' paper I can find, for now I have updated the OP to a new link from Google, which at least doesn't crash my Firefox...
This is a tiny part of a presentation I am giving Friday, any and all help is appreciated.
Homework Statement
Suppose we have a circle centered on O. We are looking for the distribution of the points generated by the following method:
We choose a random radius of the circle, and then choose...
Yes that is what I ended up doing. I just turned it in. I ended up just chalking it up to measurement error, and averaged the two for the angle. That was just really out of character for the textbook. First problem in 35 Chapters I've seen that would have some kind of practical measurement...
To find the velocity remember Momentum and Energy are conserved.
Hard to understand from your question, but it sounds like they are both traveling different 2D or 3D directions before collision, thus when they collide you can remember that Momentum is conserved in the x, y, and z direction...
Homework Statement
Two first-order spectrum lines are measured by a 9650line/cm spectroscope at angles, on each side of the center, of +26*38', +41*02' and -26*18', -40*27'. Calculate the wavelengths based on these data.Homework Equations
\lambda= (d/m)sin(\theta)
The Attempt at a Solution
i...
OH! I see!
Yea for anyone else that might stumble here from google like i always do, I forgot to subtract out the inside of the outer sphere.
Thank you vela!
The book gives the answer as exactly:
-(1.1 x 10^8 N*m^2/C)/r^2 + (3.0 x 10^11 N/C*m)r
And as my outer shell matches the second part of their answer exactly, i can only assume that the first part is what my inner shell should amount to...
Can't find the error I made... Rudimentary problem i know but i can't find where my mistake is...
Homework Statement
A nonconducting sphere is made of two layers. The innermost section has a radius of 6.0 cm and a uniform charge density of -5.0 C/m3. The outer layer has a uniform charge...