Shell Definition and 750 Threads

  1. C

    Shell model determining spin and parity

    shell model determining spin and parity - urgent Homework Statement Find the spin and parity of _{20}^{41}Ca and _{20}^{40}Ca Homework Equations http://hyperphysics.phy-astr.gsu.edu/hbase/Nuclear/shell.html The Attempt at a Solution For _{20}^{41}Ca we've an odd number...
  2. I

    Current density of rotating spherical shell

    Express the current density of a spherical shell of radius a, rotating with angular velocity omega, with surface charge density sigma Delta function will be denoted d(x). Spherical coordinates will be used I have concluded that for a given chunk (if we restrict to the 0<theta<pi/2...
  3. B

    Calculating Nuclei Shell Energy Levels: No Bra-Ket Math Needed

    In the nuclei Shell Model I understand the nomenclature for the shell sequence but I don’t know how to calculate the respective energy levels for each shell. For example how do you calculate the energy level for 1g(7/2) or 3d(5/2) Pointing me to an online reference will also be...
  4. G

    Projectile Motion of an Exploding Shell

    A 75 kg shell is fired with an initial speed of 125 m/s at an angle 55 degrees above horizontal. Air resistance is negligible. At its highest point, the shell explodes into two fragments, one four times more massive than the other. The heavier fragment lands directly below the point of the...
  5. Q

    Square Hole, Exploding Shell, Rotating Molecule, and Atwood's Machine

    1. A uniform square plate 7.2 m on a side has had a square piece 3.9 m on a side cut out of it. The center of the missing piece is at x = 1.65 m, y = 0. The center of the square plate is at x = y = 0. What is the x-coordinate of the center-of-mass of the remaining piece? 2...
  6. P

    Shell method VS washer/disk method

    i'm confused right now about this, when would it be appropriate to use the shell method rather than using the washer or disk method when it comes to looking for the volume of a rotating object?
  7. N

    Shell fragments exploding - NSL for system of particles

    A shell is shot with initial velocity \vec{}v_{0} is 20ms^{-1} at an angle \vartheta = 60 degrees. At the top of the trajectory, the shell explodes into two fragments of equal mass. Fragment1 has a speed of 0 immediately after the explosion and falls vertically. How far from the gun does...
  8. S

    The Electric Field Due to a Thin Spherical Shell, Gauss's Law

    1. A thin spherical shell of radius a has a total charge Q distributed uniformly over its surface. Find the electric field at points outside the shell and inside the shell 2. \intE dA = Q/\epsilon 3. THis is an example in my textbook, and it claims that: The calculation for...
  9. Z

    Charge inside a conductive shell

    Hi there , I'm a bit rusty on the subject so I have 2 questions , although they are quite similar. Anyways first one : Lets say i have a sphere charged with Q , and around that sphere I have a conductive shell (also a shpere) at some distance from our charged sphere . The conductive shell...
  10. M

    Gauss Law - Conducting cylindrical shell

    1. A thick conducting cylindrical shell has an inner radius Rsub1 and outer radius Rsub2. It has a net excess charge = Q, and it is L long. Find electric field at certain points given. Ok, when r is less than Rsub 1, the electric field is zero. And when r is greater than Rsub2, it is easy to...
  11. C

    What happens when two electrons in a shell collide?

    My knowledge of chemistry is almost nil - but anyways, I was wondering - what happens when two electrons in the same shell collide? From what I understand is that electrons do not travel in a perfect orbit and randomly wobble a bit. If this is true, then isn't it possible that one electron [in...
  12. C

    Potential for Electric Charge over Spherical Shell using Legendre Functions

    Homework Statement Electric Charge is distributed over a thin spherical shell with a density which varies in proportion to the value of a single function P_l(cos \theta) at any point on the shell. Show, by using the expansions (2.26) and (2.27) and the orthongonality relations for the...
  13. L

    Method of images and spherical shell

    A grounded & conducting spherical shell of outer radius M and inner radius N has a point charge Q inside the shell at a distance r<M from center. Using method of images, find the potential inside the sphere. Could I just use the superposition of charge and point charge? \phi(r) =...
  14. R

    Potential inside (and outside) a charged spherical shell

    [solved] Potential inside (and outside) a charged spherical shell Homework Statement Use the integral (i) to determine the potential V(x) both inside and outside a uniformly charge spherical surface, with total charge Q and radius R. Homework Equations (i) V(\vec{x}) =...
  15. I

    Off the mass shell and external fields

    In Weinberg's book, he said "Feynman graphs with lines off the mass shell are just a special case of a wider generalization of the Feynman rules that takes into account the effects of various possible external fields." Suppose the external fields are treated as a c-number, \epsilon_a(x), and...
  16. S

    Gauss' Law: Enclosed Cylinder in a Hollow Shell

    A long non-conducting cylinder has a charge density p = a*r, where a = 4.73 C/m^4 and r is in meters, and a radius of 0.0437m . Concentric around it is a hollow metallic cylindrical shell with an inner radius of 0.119m and an outer radius of 0.158m. 1) What is the electric field at 0.172m...
  17. D

    When to use Disk vs Shell vs Washer

    Can someone explain to me when you should user the Shell / Disk / Washer methods? I don't understand how to determine which method to use.
  18. G

    Counterintuitive Result Regarding COM Of A Hemispherical Shell

    Follow the below four steps to amuse yourself 1) Take a semicircular wire. You know that its COM is at (0,2R/\pi). Now pass an axis through its COM and perpendicular to the line joining its ends. 2)Rotate this "half-lollipop" about the axis fixed till it comes to another position. The COM...
  19. W

    Electrostatic Energy of a thin spherical shell

    hey, i have a question from an exam paper which isn't worded too nicely (most of the questions on the exam are worded in similar ways ) The way I've done it is to first put in my first shell of infintesimal charge and then treat it as a point charge. Then i treat the next shell as just a point...
  20. K

    Conduction through a spherical shell.

    How do I solve for the temperature at a certain time for conduction through a spherical shell? I have a shell 5 cm thick with a radius of 0.5m. I am starting with Q=KA(T2-T1)/L and I am completely lost as to where to go with it. Thanks!
  21. M

    Disk and Shell Method (Ignore my other thread)

    Reducing it to three questions, because I'm pretty confident on the others. 9. Find the volume of the solid generated by revolving about the line x = -1, the region bounded by the curves y = -x^2 + 4x - 3 and y = 0. --- I graphed everything, and then translated the graph 1 to the right making it...
  22. rootX

    ImageShack and Shell programing

    I am creating a product (for personal use) when I left click an image, "Upload to ImageShack" should show up and when I click that I want to upload the file to image shack and provide me the uploaded file address in dialog box/other ways Currently, I am working on .Net web application. I...
  23. K

    Cylindrical shell and cross-section volume concept question

    When a problem with a number of equations is given, asking to find its volume, a student has a choice between the cylindrical shell method and the cross-section method. However, regardless of what method is chosen, do both answers end up being EXACTLY the same?
  24. D

    Electric Field of Dipole, straight line, ring, disk, shell, and sold sphere

    Homework Statement Okay, I totally do not understand how to derive the electric field made by a dipole or a line or a ring or etc. Homework Equations When finding the electric field, when you make an estimate, saying that the test charge is very far away, it should be similar to kQ/r^2...
  25. H

    Opening PDF Files in Bash Shell on Macs

    how do i open a PDF file in the bash shell on a mac?
  26. J

    The Time Evolution of an Infinite 3D Grid of Mass Particles

    The Newtonian Shell Theorem makes important predictions about the gravitational force experienced by an object located inside a spherically symetrical massive structure, such as a hollow or solid ball. The same predictions are made by Gauss' Law. According to...
  27. G

    Electrical field outside spherical shell

    Homework Statement An insulated spherical shell with its center in the origin and radius R has a surface charge density of \sigma(\theta)=\sigma_0\sin(\theta) when \theta is the angle from the z axis. Calculate the electrical field outside the shell at point z=R. Homework Equations...
  28. E

    Is there a way to run Emacs in the background from a Linux shell?

    When I open emacs from a linux shell, it always makes it run in the "foreground" so that I cannot do anything else in the shell until I close emacs. I used to know a way around this with some extra command after "$ emacs" but I forgot it. Does anyone know what I am talking about?
  29. S

    Calculate Flight Time of Artillery Shell

    Homework Statement An artillery shell is fired at an angle of 25.3 above the horizontal ground with an initial speed of 1890 m/s. The acceleration of gravity is 9:8 m/s2 : Find the total time of fight of the shell, neglecting air resistance. Answer in units of min. Homework Equations...
  30. N

    Question about electrons per shell

    why is it the maximum electrons per shell is 2,8,18,32,50 ... Wouldn't 2,8,16,32,50 make more sense mathematically? Are there any equations the show why this occurs?
  31. D

    How Do Charges Distribute on a Spherical Conducting Shell with a Central Charge?

    An uncharged spherical conducting shell surrounds a charge -q at the center of the shell. The charges on the inner and outer surfaces of the shell are respectively... For this question I know that the charges are going to be +q, -q respectively. However, what if the center charge wasn't...
  32. F

    Shell method versus disk method

    I'm confused when to use the shell method vs. the disk method Specifically in this problem: If the region encolsed by the y-axis, the line y=2 and the curve y=\sqrt{x} is revolved around the y-axis, the volume of the solid generated is: However when I use the shell method and the disk...
  33. E

    Electric Field due to a charged conducting finite cylindrical shell.

    Hi everyone. I'm having a bit of trouble with finding an electric field. Basically, I'm trying to understand the formula for a cylindrical capacitor, so the method involves integrating the field between two conducting cylindrical shells. Firstly can Gauss's law be used in this case, because the...
  34. P

    How Can A Be Calculated for Uniform Electric Field in a Spherical Shell?

    Homework Statement (Note: Don't worry about significant digits. I just want to be able to do the question and will worry about significant digits on the exam.) In the figure below, a non-conducting spherical shell of inner radius a=2.00cm and outer radius b=2.40cm has (within its...
  35. pellman

    4-velocity, the mass shell and potential energy

    4-velocity, the "mass shell" and potential energy For a free relativistic particle we have the condition E^2-\mathbf{p}^2c^2=m^2c^4. putting p^0 = c^{-1}E we may write this as p^\mu p_\mu = m^2c^2 And since p^\mu = m\frac{dx^\mu}{d\tau} = mu^\mu we may express the same condition as...
  36. T

    Field of long cylindrical shell conductor

    [SOLVED] Field of long cylindrical shell conductor Homework Statement Shown above is the cross-section of a long cylindrical shell conductor of inner radius a=4.00 cm and outer radius b=7.00 cm which carries a current into the page. The current density J (current/area) is uniform across the...
  37. B

    Trajectory of an exploding shell

    A 36-kg shell is fired from a gun with a muzzle velocity 185 m/s at 59 degrees above the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero, falls vertically. What is the horizontal...
  38. M

    Gun and Shell: Calculate Velocity and Force

    Homework Statement A gun of mass 500Kg fires a shell of mass 2Kg with a muzzle velocity of 500m/s. Calculate: i) the velocity of recoil of the gun ii) the force required to stop the gun in a distance of 0.25m Homework Equations The Attempt at a Solution i)I got the velocity of...
  39. B

    Who Introduced NCSM and When Was It Introduced?

    Can anyone tell me who introduced the NCSM and what year was it introduced?
  40. W

    Electric potential and field of a thick spherical shell

    Question: I have a thick spherical shell (inner radius a and outer b) with charge density = kr^2. I need to find the field and potential at all points in space and calculate the energy. Is it possible to take the equation for the electric field of a solid sphere, and integrate from a to b? Or...
  41. T

    Calculating Christoffel symbols for a spherical shell in 2-space

    Hello everybody, this is my first post here. I need help with a task in General Relativity. ------- Given we have a spherical shell in 2-space of radius \rho. With the line element: ds^{2} = g_{ab} dx^{a}dx^{b} = \rho d \theta^{2} + \rho^2 sin^2(\theta) d \phi^2 (a,b \in 1,2) Then...
  42. F

    Potential Difference in spherical shell

    Homework Statement Figure 16.69 A thin spherical shell made of plastic carries a uniformly distributed negative charge -7e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.7e-05 coulombs and...
  43. M

    Charges on an Outer & Inner Shell w/ -5.0E-6C Center

    A shell with a charge of -5.0E-6 C at the center. What will the charge be on the inner surface of the shell? The outer?
  44. W

    Possible Configurations for the First Excited State in 17-F-9

    I am confused how to determine the spin / parity of excited states. In my textbook, one of the questions states: ------------------------------ The ground state of the radioisotope 17-F-9 has spin-parity j_P = (5/2)+ and the first excited state has j_P=(1/2)-. Suggest two possible...
  45. W

    Nuclear Shell Model - Spin-parity

    I am confused how to determine the spin / parity of excited states. In my textbook, one of the questions states: ------------------------------ The ground state of the radioisotope 17-F-9 has spin-parity j_P = (5/2)+ and the first excited state has j_P=(1/2)-. Suggest two possible...
  46. A

    Moment of inertia of a thin spherical shell

    Can anyone help me how to calculate the moment of inertia of a thin spherical shell? Thank you
  47. H

    Electric Field at Point P on Spherical Shell Insulator

    Homework Statement An insulator in the shape of a spherical shell is shown. The insulator is defined by an inner radius a = 4 cm and an outer radius b = 6 cm and carries a total charge of Q = +9 microC. You may assume that the charge is distributed uniformly throughout the volume of the...
  48. S

    Potential/self energy of a charged spherical shell

    What is the potential energy of a uniformly charged spherical shell; i think it is called the self energy of shell.
  49. E

    A Conducting Shell around a Conducting Rod

    Homework Statement An infinitely long conducting cylindrical rod with a positive charge "lambda" per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of "-2 lambda" and radius r1. a) What is E(r) , the radial...
  50. P

    Volume of Rotated Function: Shell Method for y=1/x on [1,4]

    Homework Statement Find the volume of the function rotated about the x-axis over the given interval: y=1/x on interval [1,4] for this specific problem it says to sketch the region and express as a sum of two integrals. Homework Equations The Attempt at a Solution I'm not sure why you...
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