Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.
y = x^2
y = 4
x = 0
0 <= x <= 2
So I drew these:
http://img131.imageshack.us/img131/9225/math28qi.th.jpg...
In fact, This is a question I caucalated in HW. But I still dun understand the answer. Any have the idea about this question?
The problem is in this link
http://web.mit.edu/8.07/www/probsets/PS6s.pdf
The problem No.2
hello all,
I was looking for the equation for the shell therom.
general expression for the magnitude of the gravitational force
but the one were the one sphear is inside the other, such as a person on the earth.
I don't know how nucleons occupy each energy level, especially the one with multiple states.
For example, 1p[SIZE="1"]3/2, there are 4 states in this level, that can be occupied 4 nucleons.
If there are 2 nucleons in this level, do they must be paired-up? Why?
And if there are 3...
The question is:
A conducting spherical shell of inner radius b and outer radius c is concentric with a small metal sphere of radius
a < b. The metal sphere has a positive charge Q. The total charge on the conducting spherical shell is –Q. What is the potential of the metal sphere?
I...
1] A square loop of wire, with sides of length 'a' lies in the first quadrant of the xy-plane, with one corner at the origin. In this region there is a non-uniform time-dependent magnetic field \vec B (y,t) = ky^3t^2\hat z. Find the induced emf in the loop.I applied the flux rule here...
A 1250 kg cannon, which fires a 55 kg shell with a speed of 566 m/s relative to the muzzle, is set at an elevation angle of 39° above the horizontal. The cannon is mounted on frictionless rails, so that it recoils freely.
What is the speed of the shell with respect to the Earth...
My teacher worked out the following problem as shown below:
http://img116.imageshack.us/img116/7656/naamloos27mf.gif
The only thing is I don't really understand what he's doing, so could anybody please explain to me a bit more which steps he takes? I would be very greatful! (or maybe...
I need to know the area of the intersection between a sperical shell and a plane in spherical coordinates. By "shell" I mean a sphere with some differential thickness dR. Basically, I know that the intersection of a sphere and a plane is a circle. But I want to consider this sphere having...
the problem is: "Calculate the work that must be done to charge a spherical shell of radius R and total charge Q", and I have no idea where to start. You probably have to write some sort of an integral but I don't know how. Can anyone give me a hint?
Hi guys!
I have been working on this question all day and am getting no where :cry: I really can't get to grips with Electromagnetism, arghh!
The question is :http://www.zen96175.zen.co.uk/problem.GIF
I would NOT like anyone to post a solution as its assessed work but I would IMMENSELY...
Hi
i have to give a presentation on an example of the defining equation for the moment of inertia of a thin spherical shell. I have to follow the example in my book "elements of Newtonian mechanics". I get most of it but there are a couple steps that the book skips that i cannot. I was...
Ok if you have a spherical shell of radius R with an even distribution of charge then outside the shell at a distance r where r>R I get that the shell can be treated as a point charge and inside the sphere (r<R) the electric potential will be constant.
All my notes cover when the shell has no...
Imagine a infinitly long cylintrical dielectic shell of thickness n. show that the electric field everywhere inside such shell is zero. What is the electirc field within the thickness of the shell?
Hi Group
I have a question about x-ray spectra.
If we look at a spectrum from a typical x-ray tube with a wolfram-74 anode, we get a spectrum http://ie.lbl.gov/xray/w.htm with two lines resulting from K-shell ionisation.
Question : Why is it (mostly) the electrons from the K-shell that are...
A small, insulating, spherical shell with inner radius a and outer radius b is concentric with a larger insulating spherical shell with inner radius c and outer radius d. The inner shell has total charge +q distributed uniformly over its volume, and the outer shell has charge -q distributed...
I am currently learning how to draw lewis structures and find it to be really confusing sometimes.
For example, for the molecule S03, the correct structure on the textbook is three resonance structures, each with one of the O's forming a double bond with the central atom S.
However, why...
Hello,
I am trying to understand why atoms have a tendency to completely fill their valence shell. What force attracts the electrons in the first place and keeps them from flying off. There is very little explianation for this that I know of besides the 'happy' atom.
Thanks,
Scott
Hello,
I am wondering about the real explanation that atoms have a tendency to have higher stablity with a full valence shell. What forces are at work here besides the 'happy' atom.
-Scott
Can anyone help me with this problem? I've been working on it for hours and can't get anywhere with it, I just have no idea how to do it at this point.
A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface. The magnitude of the...
Am very interested in why the inner shells have 2 electrons, the next couple have a couple more, and the rest all the same.
If you would like to argue that its related to the diameter of the orbit then of course you have MAJOR issues to deal with.
This is important and I'm hoping...
Hi,
My friend has installed a Fedoracore4 on my machine. I want to see what he has done with it to understand how. Is there any way see all the shell commands he has typed with all the answers the machine has given him?
Consider a thin spherical shell of radius 14.5 cm with a total charge of +39.1 micro coulombs distributed uniformly on its surface. (Take radially outward as the positive direction.)
(b) Find the electric field 39.6 cm from the center of the charge distribution.
Round your answer to three...
In a conducting shell,with inner radius R1 and outer radius R2,and with charge Q at the centre,the Potential at surface is (kQ/R2),Why it is not (KQ/R1)?? :confused:
A spherical shell has inner radii a and outer radii b. The temperatures at the inner and outer surfaces are T2 and T1. The thermal conductivity of the shell material is k. I have to derive an equation for the total heat current through the shell.
The equation for heat current through a rod...
I'm confused on what this even looks like let alone trying to solve it. A ball of charge -50e lies at the center of a hollow spherical metal shell that has a net charge of -100e. What is the charge on (a) the hsell's inner surface and (b) its outer surface? The answers are: (a) +50e; (b)...
I am beyond lost with the question, so any help would be greatly appreciated.
Consider a solid, rigid spherical shell with a thickness of 100 m and a density of 3900 kg/m^3. The sphere is centered around the sun so that its inner surface is at a distance of 1.5×1011 m from the center of the...
Is it possible to excite the inner shell electrons to higher energy state? If not, why not? I'm aware of selection rules for atomic transitions and haven't come across anything that would indicate that those transitionss are forbidden
Here's the problem that I have been trying to solve:
A solid conducting sphere of radius 20cm is concentrically placed inside a spherical shell of inner radius 30 cm and outer radius 40cm. A Charge of 20uC is placed on the inner sphere, and a charge of -10uC is placed on the outer conductor...
I'm curious, when am I supposed to use Washer, Shell or Disk method when trying to answer questions involving integrals and volume? Is there something specific I should look out for?
I just can't tell the difference.
Any help is appreciated.
Thanks.
"simple" shell
I know this is relatively simple, but I'm a little rusty. Could someone help me out? We want to find the volume of the solid obtained by rotating the region bounded by the curves y=x^4 and y=1 about the line y=7 using the cylindrical shell method.
According to my book the...
Seagulls are often observed dropping clams and other shellfish from a height to the rocks below, as a means of opening the shells. If a seagull drops a shell from rest at a height of 14m, how fast is the shell moving when it hits the rocks?
X= 1/2 gt^t
i got 1.68945 secs do I round off to...
HELP:Volume generated("shell")
Find the volume generated when the region bounded by the graph of
f(x) = 4x^2
and the graph of
H(x) = 4
is rotated around the line y = -1
How do I solve this? How do I know if, when rotated, if the solid form a "shell" or a disc, or a washer?
My Physics professor was teaching mordern physics yesterday and he gave us this experiment to ponder about
Imagine we have a single photon in a spherical shell. The shell is 2 light years long. Now inside this big shell there is a smaller hemispherical shell with photon dectors at a distance...
I'm stuck on two problems. I hope someone can help me. Here they are...
1) For 1a I thought Q would be Q=\rho \pi L (b^2-a^2) but since \rho=\frac{k}{r} so Q=\frac {k \pi L (b^2-a^2)}{r}. After being stumped on 1a I'm not sure how to go about 1b.
2) I've derived about 4 equations for this...
I am having a problem understanding this problem which references this exercise .
I tried it a couple different ways. I used
\begin{multline*}
\Delta U(Potential Energy) = Uf - Ui = Uf - U(r = infinity) = Uf - 0 \\
dU = Uf = -W = \int F * ds = \int E * Q * ds \\
Uf = -\int E * Q * dr =...
At school we've been given the identification of MANY shells as an assignement but we can't find good enough information in our poor books. Hence I'd like to know where I could find a good website about shells with ways to identify them (pictures if possible) and their full latin name...
I can frankly say I'm totally confused on how to solve this problem. Here it is:
A think spherical shell of charge Q and uniform volume charge density p is bounded by radii r1 and r1 where r2>r1. WIth V=0 at infinity find the electric potential V as a function of the distance from the centre...
A conducting sphere that carries a total charge of 6 micro C is placed at the center of a conducting spherical shell that also carries a total charge of 6 micro C .
(a) Determine the charge on the inner surface of the shell.
(b) Determine the total charge on the outer surface of the shell...
Hard substances are rare in biology. Egg shells feel and crack like ceramics, but it probably has carbon in it. It's not like nails and horns is it (dry and dead cells right?)? Bone? Please help me understand hard biological materials.
Someone please tell me is I am doing this problem correctly.If I have a thick spherical shell with inner radius r, outer radius R, and mass M, I am getting [(2/5)M/(R^3-r^3)](R^5-r^5). It is not the same thing as subtracting I of large sphere from I of smaller one, different than (2M(R^2-r^2)...
I have a problem on my homework that is really confusing. I need to solve the partial differential equation in a spherical shell with inner radius = a and outer radius=b: (Laplacian u)=1 in spherical coordinates. The boundary conditions are u=0 on the inner radius r=a, and du/dr=0 on outer...
A hollow spherical shell is uniformly charged with a total charge Q. Show that the electric field outside the shell is everywhere the same as the field due to a point charge Q located at the center of the shell.
A point charge Q is at the center of a conducting spherical shell of radius R. The total charge of the shell is -Q. (a) What is the field in the region between the point charge and the shell? (b)What is the field outside the shell?
I think I got part (a): F = \frac{kq_1 q_2}{r^2} =...
I can't make sense out of this question.
Krypton has 36 electrons. How many electrons are in the n = 5 shell?
It's in the 4th period so why are they asking for the 5th shell?
The answer is listed as 4 electrons but how?
2,8,18,8 = 36
so Kr has 8 in the last shell (n=4)
I don't understand how to set up the washer and shell equations. When you are given the function and the line to rotate it around, or two functions and a line.
[SOLVED] ghost in the shell
And I stand back and wonder what could possibly be so hard in accpecting that all we hold around us is natureal in origin? That all our emotions are just really well written code in a very effective program?What is it with this prepetual human instinct to separate...