Section Definition and 680 Threads

  1. S

    How is Born Cross Section Related to Observed Cross Section?

    Hi everyone? What is Born cross section? And what is the relation between it and observed cross section? Thank you.
  2. O

    Cross section of coulomb sacttering vs Rutherford

    differential cross section of coulomb scattering can be expressed as a form factor times Rutherford one, we model the charge we used spherically symmetric charge density, if we replace this point charge with other distribution like Gaussian , what is the difference between these two models, is...
  3. C

    Deflection of a box section beam

    Hi Guys, Please see attached diagram. I have done the maths but i am not convinced. Maybe i have missed something but i have not done structural maths for a while. I am using Force = ma where m= mass and a = 9.81m/s2 I need a deflection value for a mass of 19000kg And a mass for...
  4. I

    MHB Velleman problem 14(a) section 7.3

    Hi I have to prove that \( ^{\mathbb{R}}\mathbb{R}\;\sim\;\mathcal{P}(\mathbb{R}) \). My attempt is here. \( \mathbb{R}\;\sim\;\mathbb{R} \Rightarrow \mathbb{R}\;\precsim\;\mathbb{R}\). Since \( \{0,1\}\subseteq \mathbb{R}\Rightarrow \{0,1\}\;\precsim\;\mathbb{R}\) . I am going to make use of...
  5. I

    MHB Velleman problem 5(d) section 7.2

    Hi I have to prove \[ ^{\mathbb{Z^+}}\mathcal{P}(\mathbb{Z^+})\;\sim\; \mathcal{P}(\mathbb{Z^+}) \] here is my attempt. I have proven that \( \mathcal{P}(\mathbb{Z^+})\;\sim\; ^{\mathbb{Z^+}}\{0,1\} \). Also I am going to use the fact that if \( A\;\sim B \) and \( C\;\sim D \) then \(...
  6. V

    Please help,A vehicle enters a test section of straight road at s =

    Please help, A vehicle enters a test section of straight road at s = 0 with a speed of 50 km/h. It then undergoes an acceleration which varies with displacement as shown. Determine the velocity v of the vehicle as it passes the position s = 0.30 km. Thanks!
  7. R

    Cross section of a stream flowing from a hole

    Homework Statement Consider a cylindrical tank filled with water with 2.5-m depth. The water emerges from a small hole at the center of the bottom, as shown in the figure. The diameter of the hole is 1 mm. The cross-section area of the vertical water stream decreases as it falls. Find the...
  8. R

    How to Calculate Cross Section for Scalar-Neutrino Interaction?

    Homework Statement Hi. I'm trying to calculate the cross section for this process: where \phi is a massive neutral scalar, N is a massive Majorana neutrino and \nuL is the normal SM neutrino. Homework Equations N/A The Attempt at a Solution Apparently the answer should be something like...
  9. D

    Calculating Cross Section from Neutron Absorption in a Gold Foil

    Homework Statement In an experiment carried out with a beam of thermal neutrons it is found that on traversing a 2mm thick foil of 197Au, some 70% of the neutrons are removed. What is the total thermal neutron cross-section for this isotope of gold? (Density of gold: 19300 kg m-3) Homework...
  10. A

    Can a Rectangular Hollow Section Hold a 30kg Floodlight?

    Homework Statement Dimensions: length - 400 mm, width - 125 mm height - 50 mm thickness - 3 mm included 6 holes for m12 bolts at the top, 4 holes for m6 bolts. will this section be able to hold a 30kg floodlight. Homework Equations The Attempt at a Solution still trying...
  11. T

    Force in members of truss; section method

    Homework Statement Homework Equations torque = force x distanceThe Attempt at a Solution words: hopefully this one is clearer than the last one and someone can follow what I did and figure out where I went wrong. Thanks. Answer is Ffg=5kn T, Ffh = 20 kn T (only these two members are being...
  12. R

    Calculating theoretical principle second moments of an L shaped section

    Homework Statement Hi, I'm trying to complete my laboratory write up over my christmas break, and I'm struggling to understand how to do part of it. I emailed the lab demonstrator on December 9th, and the head of labs on the 18th and I've had no reply off either, so I'd really appreciate it...
  13. S

    ANSYS - section nodes and global nodes

    I am creating a 3D mesh for beam188 elements (L sections). Method - create keypoints, create lines between KP, define section, apply all relevant properties to the line and mesh the line. When I view the mesh (/ESHAPE,1) it appears as you would expect with an extruded L-shaped 3D...
  14. D

    Inverse Muon Decay differential cross section

    Why is it that the differential cross section for processes like Inverse Muon Decay (IMD) are always given in the CM frame? Every paper I have seen that discusses Inverse Muon Decay gives the differential cross section in CM frame. Is it very hard to calculate the differential cross section in...
  15. M

    Mounting aerofoil in test section of wind tunnel

    I am doing a wind tunnel experiment on aerofoil. So i need some idea to mount my aerofoil in the test section. The aerofoil is made of acrylic. So which type of stick will suitable for my aerofoil mounting. The configuration as shown in picture that attached. (Picture taken from google image).
  16. M

    Shear Center of thing circular section

    Hi there, i have a problem trying to derive the equation for the shear centre of a thin walled slit circular section of uniform section. I have attached a photo of the question bellow. it is taken from mechanics of materials. I hope someone can help.
  17. C

    How do I make a section of a webpage appear at the top of the browser?

    I do make the section of a browser, like section 3, appear automaticlly at the top of the browser when people access my website?
  18. N

    What is the neutron scattering differential cross section?

    What is the neutron scattering Differential Cross section .. simple definition? ... Thanks
  19. B

    Flow separation in diffuser section of wind tunnel

    For my research purpose, I made a wind tunnel which has 0.6m rectangular section [0.2X0.2sq. meter] and 1.4m long diffuser section having porous top [top wall angle is 20deg] as follows: Wind tunnel speed is 15m/s. Even using 20deg inclination of porous top wall, there is no flow...
  20. H

    Calculating shear centre of a thin walled section

    Hey guys, I was just doing some mechanics of solids. I haven't done this section at uni yet, had holidays so was just trying to go ahead a bit. But the problem is I am completely lost on shear centre. If you could help me on a question, i'd be very grateful. Homework Statement The question is...
  21. M

    Calculating Forces in Truss Members using Method of Section

    Homework Statement a) Find the reactions provided by the foundations at A and B. b) Use the method of Resolution at the Joints to calculate the forces in all the members. c) Which member will fail first and why ? Homework Equations ƩFx = 0 ƩFy = 0 ƩM = 0 The Attempt at a...
  22. S

    Need a few details ironed out(right section?)

    I was going to post this in the homework section, but I wasn't a hundred percent sure where it would fit. I'm writing a paper over the 1893 World's Fair and the battle between Edison and Tesla/Westinghouse after the fair. I'm doing my orienting before I delve into my thesis statement and I'm a...
  23. D

    I must be discomprehending the Rutherford scattering cross section.

    I do not understand the interpretation of the http://hyperphysics.phy-astr.gsu.edu/hbase/rutsca.html" . To me, that equation says: (1) for a given θ, the proportion of particles exiting at θ does NOT depend on mass or charge; (2) if you integrated over all possible scattering angles, you...
  24. C

    Compressor section of gas turbine engine duct shaoes

    why convergent rather than divergent? is this to maintain the constant air velocity. Can someone explain this better to me. Would be helpfull
  25. G

    The probability that one 3 foot section of wire is defective is 0.002.

    The probability that one 3 foot section of wire is defective is 0.002. If someone has 450 feet of wire then what is the probability they will have 3 or more 3 feet sections that are defective?
  26. J

    Why Do Long Steam Pipes Often Have a U-Shaped Section?

    Homework Statement Long steam pipes often have a section in the shape of a \bigcup. Why?Homework Equations None.The Attempt at a Solution I'm at a loss. It might be because of some sort of volume expansion, but I'm not entirely sure why...
  27. N

    Rhodium Thermal absorption cross section.

    Rhodium has been measured and the following values have been obtained for the resonance parameters of a well-isolated resonance Eo=1.26 ev , σo=5000 b , Γ = 0.156 ev , σs=5.5 b , Is there anyone can help me HOW to calculate the thermal absorption cross section ? I'm disparate I don't know how to...
  28. K

    Where Can I Find Comprehensive Books for Conic Section?

    Can anyone please suggest me good texts for conic section, which contain both good theoretical explanation and problems?
  29. 1

    Volume of a solid w/known cross section

    Homework Statement The base region of a solid is bounded by y=x, y=(x-1)^2, and x = 1. The cross sections are semicircles perpendicular to the x-axis. Write a riemann sum and definite integral. Homework Equations The Attempt at a Solution First, I wrote down the formula...
  30. T

    LaTeX LaTeX Font Change in Section Title

    I want to have a section title to the effect of "Pseudocode for the Func1 Function," but I would like "Func1" to be in typewriter font to indicate that I'm referencing programming code. Is there any good way to do this? The verbatim and verb commands don't seem to work. Thanks.
  31. N

    How Does Griffith Prove Psi Stays Normalized in Equation [1.25]?

    I'm having trouble understanding what David Griffith did in equation [1.25]. In this section he's trying to prove that psi stays normalized and I'm following him from [1.21] to [1.25] and where I'm getting stuck is understanding how: ∂/∂t|ψ|^2= i\hbar/2m(ψ*∂²/∂x²[ψ]-∂²/∂x²[ψ*]ψ)...
  32. B

    Why does Photoionization cross section reduce with frequency?

    I'm currently starting a large comp-astro project, and trying to understand a bit of the background about heading of Hydrogen and Helium IGM clouds I am a bit confused about the the actual heating process. From the standard photoelectric effect, frequency has to pass a certain frequency (or...
  33. M

    Current vs Number of wires (finding cross section of a wire)

    Homework Statement Using conductivity constant (q=1.45*10^6mA) deduce the cross-Sectional area of the wire from the slope of the Data found in the graph. Voltage was kept constant 1.00 volts The wires are each 1m long After graphing the data the Current(mA) # of parralel lines 121.4...
  34. R

    Bending of a varrying cross section

    Recently, I had lab. In the lab we took different objects and measured their strain. One object had a varying cross section. The data for strain was recorded. Right now, I'm trying to make a stress strain graph, but the problem is my equation for stress. I don't know how i can take my moment of...
  35. B

    Midship section problem from naval architect

    Dear everyone, Recently i attend a course and my homework in below. As I have leave school for ten years, lots of knowledge have forgotten, so pls help me resolve it. Sincerely thanks your help. The midship section is subjected to a moment of Mxx = 80,000 tm Hogging. The idealized...
  36. N

    Mean value theorem section problem

    f is continues in [0,1] and differentiable in (0,1) f(0)=0 and for x\in(0,1) |f'(x)|<=|f(x)| and 0<a<1 prove: (i)the set {|f(x)| : 0<=x<=a} has maximum (ii)for every x\in(0,a] this innequality holds \frac{f(x)}{x}\leq max{|f(x)|:0<=x<=a} (iii)f(x)=0 for x\in[0,a] (iiiן)f(x)=0 for...
  37. T

    Estimate section of area under Maxwell-Boltzmann Curve

    Homework Statement When it comes to evaluating integrals, there are two ways you can do it. First, you know that the integration of a function is the area under a curve, as shown in the left hand diagram. However, if you are looking over a narrow range along the x-axis, you can make an...
  38. P

    Taylor Polynomial Approximations (Apostol Section 7.8 #7)

    Homework Statement Prove that 0.493948<\int_0^{1/2} \frac{1}{1+x^4} dx<0.493958Homework Equations This chapter is about Taylor Polynomials, and specifically this section deals with Taylor's formula with remainder: f(x)=\sum_{k=0}^n \frac{f^{(k)}(a)}{k!} (x-a)^k + E_n(x) The general formula for...
  39. wukunlin

    Photon-Photon Scattering: Cross Section Calculations

    from what I know: cross section in particles physics can be seen as throwing random darts on ballons on a wall, ie the wall is stationary. but if I want to work out the cross section of two laser beams at certain angles, the analogy above wouldn't hold would it? Since photons can never to...
  40. P

    Difficult Integration - Apostol Section 6.25 #40

    Homework Statement \int\frac{\sqrt{2-x-x^2}}{x^2}dx Hint: multiply the numerator and denominator by \sqrt{2-x-x^2} Homework Equations This is in the Integration using Partial Fractions section, but the last few have not been using Partial Fractions. The Attempt at a Solution...
  41. P

    Integrating (using partial fractions) Apostol Section 6.25 #25

    Homework Statement \int\frac{4x^5-1}{(x^5+x+1)^2}dx Homework Equations This is in the section on Partial Fractions. The main idea in this section was that you get the integral down to a sum integrals of the following forms: \int\frac{dx}{(x+a)^n} , \int \frac{x dx}{(x^2 + bx + c)^m} ...
  42. P

    Inverse Trig Function Derivative (Apostol Section 6.22 #11)

    Homework Statement Given that \frac{d}{dx} (\text{arccot}{x}-\arctan{1/x})=0 \hspace{10mm} \forall x \ne 0, prove that there is no constant C such that \text{arccot}{x}-\arctan{\frac{1}{x}}=C \hspace{10mm} \forall x \ne 0 and explain why this does not contradict the zero-derivative theorem...
  43. StevieTNZ

    Number of Photons In Each Section

    Hi there, How can I find out how many photons would land in each areas, for the following patterns: http://www.bbk.ac.uk/tpru/BasilHiley/QuantEraserLight.pdf - page two's image (screen B) How many photons make up 'eraser no photon' pattern, and where each is. Likewise for the 'eraser yes...
  44. O

    What is a differential cross section?

    In particle physics, what is a differential cross section? I think I understand what a cross section is, but I can't find any information on what a differential cross section is. I don't see how a cross section could be differentiated.
  45. G

    Derivation of the differential cross section

    hi i am currently looking for a derivation of the differential cross section, that is not an abuse of mathematics, cause all derivation i found use differentials that are treated like fractions and so on? greetings Gavroy
  46. M

    Why is P outside and nearer to A if λ/μ is between -1 and 0?

    Does anyone know why if (i) -1 < λ/μ < 0 then P is outside AB and nearer to A; (ii) λ/μ < -1 then P is outside AB and nearer to B? Can anybody give me the proof? Thanks in advance! Additional information: AP:PB = λ:μ
  47. E

    Rotated Section - Moment of Inertia

    Hi everybody: I can see that there are formulas to calculate the moment of inertia of a 2D Area (Second moment of area) here: http://en.wikipedia.org/wiki/Second_moment_of_area" In the same link, there is a formula to calculate the Inertia moments about a ROTATED AXIS (Axis Rotation)...
  48. T

    Pressure drop across a small section of pipe.

    Hello everyone. I have natural gas (methane) flowing through some piping, and the last little part of pipe is where I'm concerned. The gas goes through a drawn aluminum tube, about 5.08 mm ID (it's a very small tube). The tube has three 90 degree bends where it ejects out of an orifice. It...
  49. J

    Neutron Capture Cross Section Dependence on Target Material Temperature

    So I have been reading about the cross section of neutron capture and have been reading about how the cross section for neutrons in a given material depends on neutron energy, the most important factor obviously. But I have not seen as much information on how, for a neutron of a given thermal...
  50. J

    How Much Force Can a Human Femur Withstand Before Breaking?

    Homework Statement The Femur bone in the human leg has a minimum effective cross section of about 3.0 cm2 How much compressible force can it withstand before breaking Homework Equations Compressive Strength (bone)(N/m2) = 170 x 106 P = F/A The Attempt at a Solution Not sure what a...
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