What is Shape: Definition and 635 Discussions

A shape or figure is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material type.
A plane shape, two-dimensional shape, or 2D shape (plane figure, two-dimensional figure, or 2D figure) is constrained to lie on a plane, in contrast to solid figures.

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  1. Srinath

    Timoshenko Beam Theory (Violin String Shape Functions)

    Homework Statement:: Violin String Shape Functions Homework Equations:: Violin String Shape Functions Hello, Is anyone working on violin string shape functions(Timoshenko Beam Theory)? It would be really helpful to my research if we share our knowledge on this topic. Thank you
  2. D

    Chemistry Molecular Shape of BF3: Trigonal Planar or Pyramidal?

    Answer given is " The molecule could be trigonal pyramidal or T shaped, but could not be trigonal planar." I am confused as the shape of BF3 is trigonal planar...
  3. F

    The Energy in an Electromagnetic Wave and the shape of the Wave

    no need of equations
  4. Lren Zvsm

    DS9's Odo and Other Shape Shifters

    Is there a plausible way for shapeshifters like Odo from Star Trek Deep Space Nine to exist? Obviously, our shapeshifter couldn't recode its own DNA and change its phenotype in moments. But what if Odo were a swarm--or metaswarm--of microbots ? How could they be coordinated? Would they...
  5. T

    How forces act on a shape and its centre of Mass

    Hello all After a lot of support from people like Dr.D, mfig and collinsmark I have finally understood the concept of Centriods and Centre of Mass. I am now trying to understand how a uniformally distributed force and a non uniformally distributed force acts on a shape. If I had an oddly...
  6. A

    Equations of motion of a point sliding on a line of arbitrary shape

    Hi! First of all, mention that this is not a "homework" problem in the sense that no teacher ever gave it to me or that I have the obligation to do it. It is a question that came to mind when repasing the theory done in class and though interesting. I still post it here because I suppose that...
  7. Adi6677

    Velocity of fluid flowing from a hole at the bottom of a conical shape

    My approach was that I consider the pressure of cross section A first Pa= P + dgh Now by writting Bernoulli's Equation between the cross-section A and the opening : $$ Pa + 2dgh + 2dV^2/2 = Pb + 2dV'^2/2$$ Where Pb is the pressure of the opening which is equal to the atmospheric pressure...
  8. M

    A Fluid Equilibrium Interface Shape

    Hi PF! Suppose a 2D rectangular channel with wall-normal perpendicular to the downward gravity force ##F## rests is static equilibrium. What shape would the liquid take? Looking at the equations of motion, I think the following would have to be satisfied: $$\frac{d P}{dy} = -\rho F\\ \Delta P...
  9. L

    Shape memory alloy spring

    Do you have any information's about how to calculate the bias spring or the Force needed ? the current necessary to heat the SMA spring for a 4mm stroke ? Thank you
  10. Frigus

    Why doesn't pressure depend on the shape of the container?

    As we know that liquids(same) at same height exert same pressure because of height difference but as I have a question in which there are some figures In which the (d) part lower part is extended horizontally,so by common sense the pressure in horizontal direction should increase But why at...
  11. G

    I Quantifying deformation of a shape

    Hello all, I hope this post is in the appropriate thread. Would anyone have any insight on a method to quantify deformation of a shape? For example, I attached two images of a white shape of interest at the center (one deformed and one undeformed). I'm trying to develop a metric/parameter...
  12. D

    I The Shape of Space: How Does It Move?

    Mass causes space to change shape, and that's what we see as gravity. But does space move when it changes shape? If yes, relative to what?
  13. Meryka

    A What does the concave multifractal spectrum shape physically mean?

    I investigate the damage to the metal surface with box-counting method and some surface images give a convex multifractal spectrum f for a result - which is also widespread in the literature, but some other surface images form a concave multifractal spectrum. Not much information is available on...
  14. jisbon

    Moment of inertia of this shape about the x-axis

    I've attempted this question, but the answer seems to be incorrect. Here's my workings: ##I=\int y^2 dm## - standard equation ##dM = \mu * dy * x## - take small slice and find mass of it ##x = 4y-16## - convert equation in terms of x to sub in later ##dM = \mu * dy * 4y-16## ##I=\int y^2 \mu *...
  15. F

    I Light pulse path, length and shape, when bouncing between two mirrors

    Hello, A light pulse moving bouncing between two mirrors (top and bottom) follows a vertical straight path w.r.t. to an inertial observer at rest relative to the mirrors. However, a moving inertial observer see the light pulse move in a zig-zag path as it bounced back and forth between the...
  16. T

    A Shouldn't the shape of a semiconductor laser be planar instead of conical?

    I read about semiconductor laser and its beam shape is conical with 50' of dispersion angle. But for me, it is hard to accept that it is conical because every single drawing I see is rectangular and the plan that laser going out is also a plain, not a hole. And this is the picture I saw...
  17. T

    B The Mysterious Shape of Jupiter: Why Gas Planets Stay Spherical

    If Jupiter is made of gas, how can it maintain its spherical shape without being contained in a spherical shaped container?
  18. kolleamm

    I Rotate a shape back to its original position with the fewest rotations

    Summary: Rotate a shape back to it's original position with the least amount of rotations. Lets say you have a cube. It's starting rotation is (0,0,0). It can be rotated on each axis ( x,y,z ) no more than once each by 90 or -90 degrees (rotation can also be skipped for any axis). The shape...
  19. satanikoskioftes

    Applying Stoke's theorem on an s,φ,z vector when the given shape is in x,y,z

    To be honest i don't know from where to start. I know how i can test the stokes theorem if i have a cylindrical shape and a cylindrical vector or spherical vector and a spherical shape but here I am out of ideals. The first thing i tried was to compute the left part of the stokes theorem but i...
  20. E

    How can the electric field of optical fibers be visualized?

    Hello! For dielectric slab waveguides, starting from the field expressions, it is possible to draw the Electric field corresponding to a specific mode, showing its (possible) zeros inside the core and its exponential decay in the cladding: A Google search can provide plenty of images like...
  21. LordGfcd

    A fluid mechanics problem -- Shape of a falling water drop

    Homework Statement A drop of water fall towards the ground with initial mass [m][/0] and radius [r][/0] (assume the initial shape of that water drop is sphere). the air resistance is F=½.ρ.A.[v][/2].C (C is the drag coefficent, A is the area that the air contact with the water drop and ρ is the...
  22. C

    Effect of cross section shape of an iron core in a solenoid?

    I know the basic equations of a solenoid carrying a current, the consequences of having an iron core inside one, and how that derives from Ampere's law. But these suggest that the only figure of merit is the cross section area of an iron core and the solenoid, not their shape. Thinking in more...
  23. hagopbul

    At NIF what is the shape of the 1st stage of the plasma

    Hello all: I was wondering what is the shape of the plasma at Nif ,is it spherical ? I start to wonder that it may be spindle shaped ,or fusiform shaped . Best H
  24. Raihan amin

    Shape of a bubble inside a rotating container

    1. A closed cylindrical vessel filled with water (at room temperature) contains a small air bubble of normal pressure and volume ##V=1~{cm}^3## inside in it.The cylinder is then started to be rotated slowly with a small angular acceleration in a complete weightlessness (at a space station)...
  25. P

    How the forces on a drop of water versus mercury on a glass slide influence the shape?

    I am trying to understand how fluids form particular shapes when put on a solid. In the two figures,what are we taking as a system for the forces? How the resultant of the forces influences the shape of the different fluids?
  26. IanAlpace

    Moment of inertia of two rods (T shape)

    Homework Statement Hey, just wanted to ask a quick question about how to find the moment of inertia of two rods (of equal mass and length) attached together in a T shape (the axis is at the bottom of the vertical rod). My calculations got the correct result but I just wanted to check whether my...
  27. J

    I Why hasn't the Oort cloud converged to a disk shape?

    The Oort cloud is often drawn as a sphere. Everything in it orbits the sun in circles or ellipses. Since the shape is not a disk, collisions are expected. Why hasn't the Oort cloud converged to the more stable, collision-free, disk shape?
  28. S

    Simulating shape of spinning water surface

    I would like to simulate a simplified version of this phenomenon: where I will assume that the viscosity is zero and the liquid can therefore swirl around "laminarly" forever according to some velocity profile that I specify. How can I calculate the shape of the surface, at least in this...
  29. Hugh de Launay

    I Does S-T Curvature Change Particle Shape?

    This is an inquiry about some of the details of the bending of the trajectory if a photon by curved space-time (S-T) from the perspective of general relativity (GR). The environment in this scenario contains a black hole at its center, a photon passing by the black hole a km above the event...
  30. A

    What is the shape and geometry of BrF3?

    What is the shape and geometry of BrF3?
  31. E

    Finding z component of center of mass of a complex shape

    Homework Statement The rigidly connected unit consists of a 2.5-kg circular disk, a 2.8-kg round shaft, and a 4.2-kg square plate. Determine the z-coordinate of the mass center of the unit.Homework Equations ∑zm/∑m The Attempt at a Solution Circular disk: mass = 2.5 kg z = 0 zm = 0 Round...
  32. K

    I Higgs potential shape meaning

    Hello! I am going to talk here about a real scalar field for simplicity. If we have a Higgs-like potential for a real scalar field, the graph of the potential looks like a section of a "Mexican hat", with a bump at 0 and two absolute minima at, say, ##\pm a##. This is the plot I see in any book...
  33. E

    Determine the x- and y-coordinates of the trapezoidal shape.

    Homework Statement **I couldn't get my specific picture to copy but here is one that is the same except, 2.6b=1.7b and 2.0b = 1.3b** Determine the x- and y-coordinates of the trapezoidal shape. (X bar, Y bar) = Homework Equations X bar = ∫xdA / ∫dA Y bar = ∫ydA/∫dA The Attempt at a...
  34. W

    I The Shape of Very Massive Stars: Spheres or Something Else?

    What is the shape of very massive stars? Are they simply spheres or something else?
  35. N

    B Shape of Spacetime: Exploring Relativity & Simultaneity

    It's been a couple of years since I've posted here, and am trying to get back into learning SR. I wanted to start with a general question: You often hear the phrase "we are moving through time". I've also seen space-time described many times as like a block. Another way I've seen it described is...
  36. Raihan amin

    The shape of the surface of a soap film

    1. Two coaxial rings of radius R=10 cm are placed to a distance L from each other.There is a soap film connecting the two rings(that looks like a cylinder which have different radii with z coordinate. (The rings lie in xy plane)).Derive a differential equation describing the shape r(z) of the...
  37. S

    Creating any shape of a magnetic field?

    I was wondering if it was possible to create any shape of magnetic field. If yes, what would it take to do so?
  38. pairofstrings

    B What is the connection between x^2 and a square shape?

    Hello. The curve y = x2 is a parabola that looks like this: I have a shape Square that looks like this: What I am noticing is that if I consider the equation y = x2 and also the shape Square, I find that there is no connection between them but the equation y = x2 is pronounced as x-square...
  39. R

    MHB Finding the Perimeter of an Odd Shape.

    I have been looking around for information on how to find the perimeter of an odd shape, but I can't find any explanations that seem to fit because the given shape is partially rounded. I already know the answer is 16 + 2\pi but I am unsure how they came to it. I'm guessing they get 16 from 7 +...
  40. M

    A thin steel plate is in the shape of a half circle

    Homework Statement The half thin steel plate has a radius of 4 meters and a surface density of (3+r) kg/m^2, where r is the radial distance from the origin. Using calculus, find: A. its area B. its mass C. Its center of mass with respect to the origin shown, D. It's rotational inertia about the...
  41. Steven Bolgiano

    Parabolic shape configuration's effect on photon volume?

    My understanding is that the amount of heat energy a parabolic reflective surface generates is not the volume of surface area of the mirror, but essentially the volume of surface exposed perpendicular to the suns rays. This effective surface can be also described as the area of shadow that is...
  42. C

    I What is the most efficient radiator shape?

    What is the highest efficiency (electromagnetic) radiator shape? Meaning, a shape with the highest radiated power/volume (radiated power is in this case dependent only on surface area and how much of the radiation is reabsorbed by the radiatior)
  43. M

    I Any equation that fits in this shape? (variable concavity)

    I'm working on an audio synthesis project and I need an equation that can create these lines: That is, I would like an equation that describes a line that always passes through (0,1) and (1,0), and has a single coefficient parameter that can be varied to create functions of intermediate...
  44. Hypercube

    I Shape of the universe, and a few other questions....

    Hello everyone, I don't normally come to Astro/Cosmo forums, but I stumbled upon a discussion between a mentor and a PF member here, which involved explanations on the geometry of the universe: difference between boundless vs unlimited, 2-torus vs 3-torus, why are tori boundless, etc. This got...
  45. ChrisVer

    A Is the Higgs Field Potential Still Symmetric Post-Electroweak Symmetry Breaking?

    Hi, a fast question... I was having somekind of a discussion, and I actually hit a dead end to the way I could explain my statement. I believe that after the Higgs Mechanism and SSB, the resulting potential of the Higgs Field should no longer be symmetric to rotations : I am saying this because...
  46. doglover9754

    Airplane wings -- How do they work and why do they change shape?

    I just went on a Japan trip. In the airplane, besides throwing up my ball and phone, I was doing a little bit of studying. While the plane was in takeoff, in the middle of flying, and landing, I noticed how the wing positions changed. I already know how takeoff works. It works when the plane...
  47. Pushoam

    Shape of y = 3x +2 in r - \theta space

    Homework Statement Homework EquationsThe Attempt at a Solution Substituting x = ## r \cos{ \theta } ## and y = ## r \sin \theta ## into the equation y = 3x +2, I got r = ## \frac { -3 \cos{\theta} \pm \sqrt{ 4 – 31 ( \cos{\theta} )^2 } } { 10 ( \cos{\theta} ) ^2 – 1} ##Plotting...
  48. shintashi

    B What is the name of this triangular geometric shape?

    I used to think it was called Zeno's tower, but then realized I probably called it that because it reminded me of his paradox. I have been unable to find this shape on the internet, although I saw a small steel tower outside Stonybrook using this geometry. I have attached an image of the basic...
  49. DaveC426913

    Optimum shape for a pressurized structure in a pressure gradient

    I came across this pie-in-the-sea concept: (Obviously, the pictured structure would be extremely susceptible to complete catastrophic failure, having no apparent internal means of water-tight seals to prevent complete implosion. Which is why you'd more logically build a city in tube-and pod...
  50. L

    I Fried round potato slices' shape....

    Sorry if already asked: Why round, thin, fried potatos often comes out with a "saddle" shape? Thanks. -- lightarrow
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