2d Definition and 1000 Threads

I am trying to figure out how you would write out a matrix for the solution to an equation such as the following: \alpha x^{rr}-(2\alpha+2\gamma) x^r+(\alpha+\gamma) x^i+(\beta+\gamma) x^{br}-\beta z^r -(\beta+2\eta) z^b+(\beta+\eta) z^i +\eta z^{bb}=0 where alpha, beta, gamma, and eta are...

Hello physics enthusiasts! I was looking for resources, and stumbled upon these awesome forums. I am looking for how to solve the helmholtz equation / wave equation on a figure 8 type shape. I wanted to find the resonant frequencies of a classical guitar. Would this work? I am considering...

Homework Statement Recently I met a Mathcad calculation plotting bicycle path traveled. Initial positions of tire tracks are known, their increments were calculated with bike speed 'v', wheelbase 'p', and steering angle 'a' so via ODE system solving front and rear tracks coordinates were...

Homework Statement A ball is dropped straight down onto a wedge that is sitting on top of a frictionless surface. The wedge is at an angle of 45degreees and has a mass of 5.00kg. The ball has a mass of 3.00kg. If the ball collides with the wedge at 4.50m/s, and the collision is instantaneous...

Homework Statement A picture of the problem can be seen http://images3a.snapfish.com/232323232%7Ffp733%3B3%3Enu%3D52%3A%3A%3E379%3E256%3EWSNRCG%3D335%3B%3C6%3B737347nu0mrj". Original question: An archer is standing inside a long building whose ceiling is 11 m high. The archer can shoot and...

Hi, I'm trying to make a 2d simulation of elastic colliding balls. I have a hard time deriving the motion equations after collision. For each ball i know the speed, the mass and the angle of movement. Can anyone point me in the right direction to find the general equations for this ? I need the...

Hello everyone, Physion is a 2D Physics simulation program. It is quite difficult to explain its features and how exactly it works so please watch the videos below to get the main idea. https://www.youtube.com/watch?v=P32UHa-3BfU https://www.youtube.com/watch?v=GgbH7_Gc8fE Physion...

I am trying to use Gaussian elimination to solve the 2D poisson equation. I've done this for the 1D problem without problems, but for some reason my solution for the 2D problem is incorrect; it looks something like the correct solution but it's as if the resulting field were cut in half, so...

Vectors and 2D Kinematic Question! On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool. The free-fall acceleration on the moon is 1/6 of its value on earth. Suppose he hits the ball with a speed of 25 m/s at an angle of 35° above...

Homework Statement A box containing a particle is divided into right and left compartments by a thin partition. We describe the position of the particle with a 2D space with basis states |R> and |L> according to whether the particle is in the right or left compartment. Thus, a generic state is...

An astronaut in his space suit can throw a ball a maximum distance dmax = 14 m on the surface of the earth. a) For a given speed of the ball, what angle to the horizontal q (in degrees) will yield the greatest range? q = 45 OK b) If the ball is thrown at this same angle q, what speed...

Consider a 2D variable coefficient linear recurrence relation. An example might be: b_{n,j+1} (j+1)(2n-1)(2n-2) = (2n-2+j)(2n-1+j)b_{n-1,j} which has the solution b_{n,j} = \frac{(2n-1+j)!}{(2n-1)!j!} Is there any algorithm that can be used to derive this result? I have a recurrence...

Java Graphics & 2D Help me animate this! Instructions : Using Graphics and Graphics2D, create a neon sign for your business logo. Create your logo to include a shape and the name of your business. The logo should flash off and on continuously. You may get as creative as you wish with your...

An explanation given to the question, "Why do I look different in pictures versus a mirror?", cited that in a picture one views a 2D image but in a mirror one views a 3D image. This difference can effect the depth perceived in ones face. Is this explanation valid? My take is that the...

Homework Statement A tennis ball is thrown from ground level with velocity vo directed sin 30 above the horizontal. If it takes the ball 1.0s to reach the top of its trajectory, what is the magnitude of the initial velocity? Homework Equations The initial vertical component of...

Homework Statement It can be shown that the allowed energies of a particle of mass m in a two dimensional square box of side L are E =h2(n2+m2)/8mL2 The energy depends on two quantum numbers, n and m, both of which must have an integer value 1, 2, 3... What is the minumum energy for a...

Homework Statement It seemed much easier to screencap than to write out. Homework Equations It helps to know that the number of states with speed between u and u+du is 2pi*u du The Attempt at a Solution I've tried quite a few things but every time I get to trying to normalise I either get...

Hi there, I was expecting to find a "simulations forums" somewhere here, if there is a better place for this thread please let me know :) OK, here's the problem: I'm trying to make a simulation with PYthon, at first with a square potential, for simpler potential/boundary conditions. But...

1. Hi, I am trying to model the magnetic force between two cylindrical identical sized permanent magnets. I am using the Charge/Coulombian model to do this. This assumes that all of the "magnetic charge" is on the pole ends of the magnet, i.e. the flat surfaces at the top and bottom of each...

hi every one I want an instruction file about design power transformer in Maxwell 2D and i want an instruction file about electrical circuit of power transformer in maxwell circuit editor please help me << e-mail address deleted by Moderator -- please use PMs instead >> please send me...

Homework Statement Hi everybody, I'm trying to solve the heat eq. for a 2D problem which is stationary, and also includes convection. There is no heat source. I am using Matlab. Homework Equations domain: x:0:1, y:0:1 u(x,1) = x(1-x) all other boundaries are 0 The Attempt at a...

Homework Statement There are three smooth stones in contact with each other at rest on an ice field (coefficient of sliding friction=0.0250). Their masses are: A = 0.800kg, B = 0.600kg and C = 0.250kg. An explosion causes them to fly apart. 'A' moves Due North with a Velocity = 2.40 ms-1...

It surprises me how much mathematics is needed to solve the innocent-looking 2D Ising model, and the Heisenberg model is quite an exercise even in 1D. I begin to doubt whether solving these models is really worth the effort, given that these systems don't look very realistic, and computer...

Homework Statement A 600g billiard ball moving to the right at 2 m/s collides with an 800g ball at rest. After the collision, the 600 g deflected at an angle of 37 degrees above its original direction at a rate of .5 m/. What is the magbnitude and diredction of 800g ball's velocity...

Homework Statement A football player kicks a field goal from a distance of 45m from the goalpost. The football is launched at 35 degrees above horizontal. What initial velocity is required so that the football just clears the goalpost crossbar that is 3.1m above the ground? ignore air...

Hi, I just saw this video on youtube, originally from Carl Sagan's 'Cosmos', about a 4th spatial dimension. http://www.youtube.com/watch?v=Y9KT4M7kiSw&NR=1" So what happens when the photons that are traveling in 3D hit an object in a 2D plane universe. To a 2D object it seems like photon...

Homework Statement u_{tt}=u_{xx} The Attempt at a Solution Where do I start? I have this wonderful Schaums outline at hand, and by looking at similar (unfortunately unsolved problems) I can guess that the answer will be in the range of: u=F(x+iy)+G(x-iy) I'm saying something in...

Does anyone know a good free library to do Fourier Transforms (FFT or DFT). I know FFTW but I'm having some problems with it. I want an alternative that do FFT in two dimensions with complex numbers. The libraries I have found doesn't fulfill this requirements. Thank you

Does anyone know a good free library to do Fourier Transforms (FFT or DFT). I know FFTW but I'm having some problems with it. I want an alternative that do FFT in two dimensions with complex numbers. The libraries I have found doesn't fulfill this requirements. Thank you

Homework Statement heat equation of for 2 dimensional body(stationary)...heat is supplied to a body per unit volume and per unit time and by using conservation of energy principle the following equation is derived.. \intQt dA= \intqt d\ell the intergral on the right is a line integral on a...

Homework Statement You are given in a earlier stage of this problem that the wavefunction is separable, ie.) \Psi(x,y) = X(x)Y(y) The problem asks you to solve for the wavefunction of a particle trapped in a 2D infinite square well using Parity. ie.) solve \Psi(-x,-y) = \Psi(x,y) and...

Homework Statement So, I'm in a 2D Euclidean space V. The two vectors v1 and v2 forms the orthonormal basis set for V. Consider the transformation T(v1) = a*v1 + b*v2, T(v2) = c*v1 + d*v2 Show, using scalar products (not vector products), that the area scale factor of the transformation T is...

Hi, Could someone help to explain that why for the 2 D system, like 2 dimensional electronic gas, the crystal momentum k in 2D band structure is defined on a torus? Thanks a lot.:)

This is similar to finding the net force of a moon around and planet and the planet around the sun but in perfect circular orbits in 2d without consideration for gravitational effects. Does anyone have a solution? If not there's a complicated paper that could be simplified from NASA in the...

Homework Statement Hi, I'm in a calculus base physics course in college so i thought this forum would be appropriate to post this question. The question is as follows: "A cannonball leaves the end of the cannon with an initial velocity of 67 m/s. Assuming a level terrain, at what angle(s)...

Hello everyone, I have a newbie Matlab question. I need to set up a 2D array 'phi' whose gradient is an identity mapping in terms of the spatial coordinate. So, basically I have a 2D image and what I want to do is set up phi at each pixel (x, y) as follows: phi(x, y) = 0.5 * (x^2 +...

Homework Statement A person kicks a ball h of 2.0 m above the floor. If the ball flies at some angle and lands 1.2 s later at horiz d of 6.5 m from its orig. place, calc. the orig. horiz and vert. comp.s of the ball's v. Calc. the final components of the ball's v. (Assume the ball has no horiz...

Homework Statement Consider a 2d potential problem for a region bound by 4 planes x=-1/2 x=1/2 y=0 y=1 There are no charges inside the bounded region. The boundaries at y=0 and y=1 are held at zero potential. The potential at the boundaries x=-1/2 and x=1/2 is given by...

Homework Statement Hi, I'm having trouble conceptualizing how to draw a Velocity(Or position)-Time Graph where more than One dimension is covered. We haven't really covered this in class, but its giving me trouble. The concept is: Acceleration is negative when changing direction(This was...

Hi, I have a problem (1) where I need to compute the ratio of probabilities of hitting and stopping at a positive vertical barrier x vs hitting and stopping at a negative horizontal barrier y after starting from (0,0). I feel that by symmetry, the answer to this would be the same as...

I have a definition that a piecewise continuous function is one which is continuous on all but a finite number of points. I believe a step function would be a good example. However in 2D space, an equivalent function to the step function (eg, for x>0, y>0, f(x,y) = 1 else f(x,y) = 0) does not...

Show that S2 = S(x,t)S(y,t) solves St = k (Sxx + Syy) well St = St(x,t)S(y,t) + S(x,t)St(y,t) Sxx = Sxx(x,t)S(y,t) Syy=Syy(y,t)S(x,t) but what do i do from there?

Hi Folks, I think this is the best place to post this, as I see a couple of other fluid questions in here. For some reason, everyone always defines stream function as only applying to 2D flow. The total flow is represented by \vec{U}, where \vec{U} is a 3 dimensional vector with components...

Homework Statement An object, which is @ origin @ t=0, has an initial velocity vo=(-14i-7j)m/s and constant acceleration a=(6i+3j)m/s2 Find position of the object when it comes to rest. Homework Equations The Attempt at a Solution So i understand how to solve this problem if...

Question 1: A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 32.0 m above sea level, directed at an angle above the horizontal with an unknown speed v0. The projectile remains in flight for 6.00 seconds and...

Homework Statement We have a 2-dimensional box with only one side at a potential V0. The other 3 sides are grounded. The box is a square with top and bottom at y=a/2 and –a/2 and sides at x=±a/2. Find V(x,y) (it should contain cos and sinh). Homework Equations The Attempt at a...

Homework Statement In class we had a 2D with angles and components question. Homework Equations To find the answer I eventually got to the x=xo[SUB]+v[SUB]ot+1/2at2 equation and came up with ***-4.9(28/37cosx)2+28tanx-3*** The Attempt at a Solution But once I got to this point I...

QUESTION: A baseball is hit 1.2 meters above the ground, at an angle of 26 degrees, with an initial speed of 80 m/s. a. Will it clear a 3.8m fence 120m away from the home-run? MY PROCESS(But not positive I am doing it correctly) KNOWN Vx= 80cos26=71.9 m/s Vy= 80sin26=35.07 m/s So I did...

Homework Statement A particle undergoes simple harmonic motion in both the x and y directions simultaneously. Its x and y coordinates are given by x=asin(wt) y=bcos(wt) a. Eliminate t from these equations to show that the path of the particle in the x-y plane is an ellipse. b. Calculate...

Homework Statement A player kicks a football from ground level with an initial velocity of 27.0 m/s, 30.0° above the horizontal, as shown below. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible. Homework Equations These are the equations that I...