Shape Definition and 613 Threads

  1. C

    Does the poincare conjecture disprove the shape of strings in string theory

    Considering that the smallest particles in nature are supposed to be strings, which are donut and line shapes. And the poincare conjecture says the simplest shape in nature is a sphere. wouldn't it make sense that the true fundamental particles are sphere shaped and that if they combine to form...
  2. D

    Trying to understand the Shape of the universe.

    Please note that I am not trying to forward any type of personal theory. I am only trying to understand generally accepted physics. I have heard the universe described as the surface of a balloon. Inflating the balloon is the expansion of the universe and everything move away from...
  3. U

    Discrete Model for Buckling Mode Shapes of a Clamped-Free Column

    the buckling shape for clamped-free column is v(x)=1-cos(n*pi/2*L), n=1,3,5 ... how could i use the discrete model to get the buckling mode shape matrix? for example 3x3 matrix form a stiffness matrix and solve the eigenvalue problem? L=1;E=1;I=1 l=L/3 % 3-element beam...
  4. A

    How can we define the universe as having a shape ?

    How can we define the universe as having a "shape"? I'm ignorant, so please excuse me. I've read time and time again over the years on the topic of "the universe" and keep coming across the concept of it having a "shape". Terms like "curved" and "flat" continue to come up and while they...
  5. I

    Predicting molecular shape without drawing lewis structure

    Is their a method for predicting the molecular shape of molecules without drawing the Lewis structure? I am preparing for an ACS exam and would like to try to save some time on these problems. I think I could determine the steric number by counting the total electrons available, and...
  6. H

    Solid Shape Volume by Disk Method Problem

    Homework Statement The base of a certain solid is an equilateral triangle of side a, with one vertex at the origin and an altitude along the x-axis. Each plane perpendicular to the x-axis intersects the solid in a square cross section with one side in the base of the solid. Find the volume...
  7. Tclack

    Figuring Out the Shape of Molecules

    How do you figure out what the shape of molecules are. For example, Water. 1 part oxygen and 2 parts hydrogen with 104.45 degrees between the two hydrogen. That's what I want to figure out. I imagine it has something to do with the electrostatic force.
  8. Tclack

    Determining Shape of Molecules: Water Example

    How do you determine the shape of molecules. water, as an example, the 2 hydrogen atoms are at a 104.45 Degree angle from each other. But how is that calculated? I'm assuming it has something to do with the ratios of the electrostatic forces between the 2 hydrogen and the oxygen.
  9. C

    Shape Operators and Eigenvalues

    This is probably falls within a problem of Mathematica as opposed to a question on here but I have a question about the following: Given some cylinder with the shape operator matrix: {{0,0},{0,-1/r}} We get eigenvalues 0 and -1/r and thus eigenvectors {0, -1/r} and {1/r, 0} by my...
  10. G

    Parameterizing Shapes: Algebraic Form Solutions

    Does anyone have any suggestions on a functional, algebraic form to parameterize the edge of the shapes shown in the image sequence below? It begins as a circle but deforms and flattens along the edges perpendicular to the axis of symmetry. I have a crude model of it with the upper and lower...
  11. J

    Is the Original Figure Considered a Shape in This Puzzle?

    Draw a picture showing four identical shapes where each shape has at least one border with the other three. Your picture should be a single two-dimensional shape containing no gaps or holes. Tried many shape combinations irregular and regular. We got given a hint of not to think or draw...
  12. J

    What is the Shape of the Universe?

    I know how to figure out the shape of the universe. There are three shapes the universe could be. Spherical, flat, or hyperbolic. If it it spherical the universe will someday colapse in on itself. It is not expanding fast enough to overcome gravity. It is slowing down if it is a sphere. If...
  13. F

    Can Four Shapes Share Sides Without Gaps?

    1. Found this question in a past paper i am looking at in preperation for a midterm. Draw a diagram that shows four shapes of equal dimensions with each shape having at least one side in common with the other three shapes. The picture should be 2d containing no gaps or shapes. I do not know...
  14. D

    Ways on how visualize the deflected shape of a simple structure?

    Hi guys, what are some ways to visualize the deflected shape of a simple structure? I know that there is no slope or deflection at fix ends. No deflection at supports (roller, fix ends, etc). Also, I am not really sure what a kink is. Thanks
  15. E

    How are clusters of galaxies formed?

    Maybe I hear somewhere that grups of galaksies forms sphere. Or maybe that groups of gropus of galaksies forms sphere. How it is with this?
  16. T

    Medical Discover the Truth Behind Body Memory: Regaining Fitness After Inactivity

    I often read that if you gain a certain level of fitness ( muscular strength and edurance for example) and then lose it from inactivity, it will be quicker to regain this level of fitness than when you first got it. If this is true then how does this body memory work?
  17. Pythagorean

    Can we use individual spikes as a reliable carrier of information?

    I'm currently reading Spiking Neuron Models by Gerstner and Kistler: But I've also come across this in a review of Spikes: Question(s) Is this really true? Are all action potentials of a given neuron the same? Is that justification for action potential shape not "carrying any...
  18. B

    What shape would the arcade classic Asteroids' universe be?

    I heard this puzzle on the MathFactor podcast (which I highly recommend). If you don't know what Asteroids is (somehow), here's a youtube video: If you fly off the right side, you reappear on the left side, and vice versa. If you fly past through the bottom, you reappear at the top, and...
  19. J

    What Shape is the Distance vs. Time Graph for a Falling Ball?

    Homework Statement What would be the shape of Distance vs Time Graph when a ball is falling? Please explain. Thanks you The Attempt at a Solution I think it will be a curve since the acceleration is constant (9.8 m/s^2) . the slope under the curve will be velocity which will...
  20. W

    Shape of electromagnetic waves?

    Hello. In most texts I have read, EM radiation is depicted as sinusoidal in shape. I understand why this would be the case, as the oscillating fields are often the product of circular generators or alternating current, but is this always the case? For example, is the light we receive from stars...
  21. G

    Calculation the resistance of a spherical shape

    hello there! I was reading about ohm rule in a MIT physics course and they calculate the resistance of a nested spherical shells like this : and they but the microscopic form of ohm's law which is : J=\sigma_q E and I=A J so I=(4 \pi r^2 ) (\sigma_q E) and E=-\frac{\partial...
  22. R

    Your physical shape and condition

    Are you satisfied with your current weight and level of fitness? If so, what do you do to maintain it? If not, why do you think you have fallen from it (assuming you were once there)?
  23. W

    What shape would the Univers be if we could see all of it

    I was watching a program some months ago about the Universe and what shape it could be. In the program they used the Atari Asteroids game as an example. As the spaceship starts to go off the right hand side of the screen it starts to appear on the left hand side. As the spaceship starts to go...
  24. B

    Question about the Mass, Volume and Shape of Elementary Particles

    These are some of the inconsistencies with physics that should be resolved on this forum. Question #1. Relationship Between Mass and Gravity) Gravitational fields exist in elementary particles but cannot be detected in laboratory experiments because they are too weak. However can...
  25. A

    Is Forehead Shape related to intelligence?

    Hi, Do different shapes of forehead indicate different degrees of intelligence? Considering humans, Is there any relation between intelligence and forehead shape? Thanks...
  26. R

    Why is the Nucleus Spherical in Its Stable State?

    Why nucleus is spherical in shape in its stable state?
  27. S

    Shape of surface of fluid in a rotating tank

    Homework Statement A concave astronomical telescope mirror may be made by rotating a circular tank of mercury. Find an expression for the shape of the surface in terms of the density of mercury, the radius from the centre, and the rotation rate. Homework Equations v = r \omega The...
  28. T

    Shape of electric lines of force created by an oscillating charge?

    can someone please help me fast? i am having trouble understanding http://www.colorado.edu/physics/2000/waves_particles/wpwaves5.html" ? here it is said that farther away from the vibrating charge the shape of the wave on the line of electric force changes? but is not the shape supposed to be...
  29. F

    Second moment area of symmetrical shape

    Homework Statement -a beam with square cross section, side lengths bXb is rotated 45 degree. -can we assume the second moment area (I) is the same if this is done? Homework Equations I=b^4/12 (cube) I=integral(r^2dr) The Attempt at a Solution
  30. D

    Find the location of the shear center of this shape

    the open cross section shown is thin walled with a constant thickness. find the location of the shear center i have solved this sort of question but never for a circular cross section, at first i thought it should be the same just using polar coordinates instead of Cartesian coordinates...
  31. B

    Tangent map, gauss map, and shape operator

    Can anyone help me with this problem?? Let M be a surface in R^3 oriented by a unit normal vector field U=g1U1+g2U2+g3U3 Then the Gauss map G:M\rightarrow\Sigma of M sends each point p of M to the point (g1(p),g2(p),g3(p)) of the unit sphere \Sigma. Show that the shape operator of M is...
  32. F

    What Is the Shape of Acetic Acid?

    what is the shape of acetic acid?
  33. H

    How Do Geometric Shapes Influence the Path of Gravity?

    I'm trying to gain a deeper understanding of gravity from a purely geometric point of view (as opposed to the more Newtonian "force" point of view). This thread is the result of a discussion that began in another thread. However, that should not cause a problem for people who are just joining...
  34. L

    Is It Possible To Shape An Electric/Plasma Arc?

    I was watching the visualizer while listening to a song in winamp, and this particular one has two speakers that shoot sine waves. I was watching it and I thought to my self: "it would be great if I reproduce that in real life". After thinking about it my thoughts went to back to that arc...
  35. L

    Mass of chain in shape of parabola

    Homework Statement A chain in the shape of y = x^{2} between x = -1 and x = 1, has density of |x|. Find M, and CM. Homework Equations The Attempt at a Solution \int^{1}_{-1}|x|dx = \int^{0}_{-1}-xdx + \int^{1}_{0}xdx = 1 I got this far and realized that I did nothing with...
  36. R

    How to find out the area of a shape

    Hey this isn't fancy but i thought I'd ask because you are all smart Also i didn't use the template because i didn't really understand it I need help with the area of circles and things because my teachers are not understanding my questions So my question is how do i figure out the area...
  37. jfy4

    Shape of Spacetime: Curvature Tensor or Metric?

    hello, quick question, If i am interested in the shape of space time, am i interested in the curvature tensor, or the metric? Thanks
  38. D

    Name of Circular Standing Wave in Geometry

    Okay, I know this is not that big of deal, but it has been bugging. I would like to know if geometry has given a name to circular standing waves. You know Bohr / De Broglie model. And whether they extend to name with prefixs, like the triangle shaped on being tri-...S
  39. N

    What determines shape of dust nucleus?

    Is a dust nucleus, dust attached to air? If water vapor molecules, attach themselves to dust nucleus in building visible [to the eye] snowflake, I'm supposing flake takes on shape of the dust. Does this mean "air" is shaped too? Don't laugh; I'm most confused!
  40. F

    How to let the cold work shape memory alloy to acquire shape memory properties

    I have a cold work Nitinol wire, my supervisor ask me to do heat treatment at 700 degree celcius after that quench in ice water.He tell me that after heat treatment, the wire will acquire the shape memory properties, but i have repeat for few sample the wire could not function. when i put the...
  41. M

    Reflection of a 2-d shape about some line

    I've noticed the the reflection of a 2-d shape about some line is the same as rotating it by 180 degrees about that line, where it rotates through the third dimension. Does this generalise to higher dimensions? I hope it's clear what I mean here.
  42. B

    Need help solving the differential equation for the shape of a catenary?

    ([SIZE="2"]Moderator's note: thread moved from "Differential Equations") The DE is y''=a*sqrt(1+(y')^2) I have no idea how to go about integrating it, I just started taking diff eq's and haven't taken calc in over a year. Any help would be appreciated, thanks!
  43. B

    How did scientists use WMAP to determine the flatness of the universe?

    Hey guys, I have a question which I've been researching for a while and just can't find much on. The WMAP measures the CMB from the farthest regions of space. It has provided a map of the early universe. Scientists did some work on this and found that the universe is flat to within a 2%...
  44. L

    The shape of infinitesimal objects

    I managed to show that the flux through an infinitesimally small cube equals the divergence of the vector field at that point. I also managed to show that the circulation around an infinitesimally small square equals the component of the curl perpendicular to that square at that point. Should...
  45. P

    Shape of Light: Uncovering the Mystery

    Does light have a definite shape? (this may be stupid question but from many days this question is hanging in my brain Thanks
  46. T

    Vector potential in cavity of arbitrary shape

    we know that vector potential in a resonator satisfies the equation \intA(\lambda)A^{*}(\lambda^{'})dV=4\pic^{2}\delta_{\lambda\lambda^{'} So how about in cavity of arbitrary shape? Does this equation still valid? Thanks!
  47. E

    Can a near-by black hole affect the shape of another black hole.

    Can a "near-by" black hole affect the shape of another black hole. Hello, My name is Edward Solomon and I am curious to know what would happen in the following scenario. Let us assume that we have two Black Holes, A and B. Both Black Holes have the same approximate mass and are not rotating...
  48. marcus

    Supernovae Wind Shape Small Galaxies: Governato et al.

    Governato et al. have offered a solution to a long-standing puzzle about structure formation. Published in the current issue of Nature. http://arxiv.org/abs/0911.2237 Dark matter dynamics (esp. with supercomputer simulations) has already explained a lot about structure formation. For an...
  49. B

    Electric Potential problem, 4 equal charges, different signs, weird shape.

    Homework Statement The drawing shows four point charges. The value of q is 1.96 µC, and the distance d is 0.93 m. Find the total potential at the location P. Assume that the potential of a point charge is zero at infinity. Image of problem is attached. Homework Equations V=kq/r The...
  50. E

    You're in pretty good shape first year physics textbooks

    "you're in pretty good shape" first year physics textbooks.. Hi, I'm wondering if there were any books for which if you were able to do the problems, then you're in good shape.. For example, if you can problems from Spivak's "Calculus" book as you are in your first year, then you're in pretty...
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