2d Definition and 1000 Threads

Hi all, I was looking at previous exams and I saw a question with single slit diffraction. Please look at picture. So, this made me think: "Wow, I never thought single slit diffraction could be applied in 2D with one pattern horizontal and the other vertical." Then, I thought why is...

Dear kind helpers, actually I am not 100% sure whether this is the right place to post, as it is not a homework in the sense of an exercise sheet. But I think it could be because it feels pretty basic and that I should be able to solve it. Though I really searched for a solution but could not...

It's known that the Density of States in 2D is given by, g_2(E)dE = \frac{a^2m}{\pi\hbar^2}dE The density of states in 1D and 3D are as follows, g_1(E)dE = \left(\frac{a}{\pi}\sqrt{\frac{2m}{\hbar^2}}\right)\frac{1}{\sqrt{E}}dE g_3(E)dE =...

Homework Statement A two-dimensional isotropic harmonic oscillator of mass μ has an energy of 2hω. It experiments a perturbation V = xy. What are its energies and eigenkets to first order? Homework Equations The energy operator / Hamiltonian: H = -h²/2μ(Px² + Py²) + μω(x² + y²) The...

:confused: HI, is wave behaviour on a two dimensional field or in a multidimensional field in space?? i am currently conducting a study whether the object producing the wave is actually spinning and the resultant disturbance on the field it is residing causes the field to respond to the...

Hello, i had studied the problem in 1D, but i thinking the problem in 2d, an i have the following question: in a potential -V between (-a,a) an 0 otherwise. One dimensional case: One of the boundary condition are : ##\phi_I \in (-a,a)##, and ##\phi_{II} \in (a,\infty)## ##...

Say I have an N X N array of points, I would like a formula to give the mean distance between the points. There are lots of short distances but only two long ones (diagonal). There are plenty of algorithms to do this but I would like to work out a formula if there is one. Can someone point me in...

An antitank gun which fires missiles with a speed of 240m/s is located on a 60m high plateau overlooking the surrounding plain. The gun crew sights an enemy tank 2200m from the base of the plateau. Simultaneously, the tank crew sees the gun and starts to head directly away from the plateau. The...

Homework Statement I'm working on problem 1, specifically part (d) in the attached PDF file. I will show my code for (a) - (c) so you can see where I am coming fromHomework Equations The Attempt at a Solution (a) A1 = [1.3 5.2; 7.4 3.8; 9 2] A1 = 1.3000 5.2000 7.4000 3.8000...

Homework Statement Homework Equations The Attempt at a Solution A = [2.1, 4.2, 6.7; 8.3, 5.3, 5.4] A = 2.1000 4.2000 6.7000 8.3000 5.3000 5.4000 [mVal, I] = max(A,[],1) mVal = 8.3000 5.3000 6.7000I = 2 2 1 I don't understand what max(A,[],1) is...

Homework Statement Homework Equations The Attempt at a Solution Hello, I am having some confusion over the notation used in matlab. I don't really know what they mean A = [1:3; 4:6; 7:9] A = 1 2 3 4 5 6 7 8 9 A(1:2, 1:2) ans = 1 2...

Hi, How do you define number of turns in a coil designed to operate at 100 kHz? Maxwell 2D axisymmetric treats the coils as a single conductor, how can we define number of turns. I would appreciate any response. Thanks

Hello everyone ,i have captured car positons at differents frames.http://www.imagesup.net/pt-7140205392313.png%5D%5BIMG%5Dhttp://www.imagesup.net/dt-7140205392313.png Suppose car's(left side car which is coming towards us) centroid is at video frame1 is P(x1,y1) and Q(x2,y2) at video frame4...

This is sort of statics, but this came up in my physics class before. You have a plate, supported only in the middle by a simple support. So, this beam is balanced on the support, and is bending under it's own weight. What shape does the beam take? I was thinking either a inverted parabola or...

2D Fourier Transform on a non-rectangular area Is it possible to perform a Fourier transform on a shape instead of a rectangular region? To be specific I am attempting to make a linear zoom function that doesn't produce any pixelation and that mimics natural blur that occurs with distance...

Dear all, is there anybody knows how to set a 2 degree-of-freedom movement in ANSYS Maxwell 2D transient model? I have two fixed current-excited coils and a free magnet. The magnet should be able to move in a 2D space under the Lorentz forces. However, there are only translation and rotation...

Homework Statement bifurcation for the following 2D system: Homework Equations x'=ux−y+x^3,y′=bx−y The Attempt at a Solution I have got ux−y+x^3=0, y=bx, then x=0 and ±sqrt(b−u). But I don't how to continue to find the bifurcation?

Hi, I am trying to formulate a 2D model to calculate the temperature change over time in a composite material. The material consists of several layers, and is heated from all edges by a known temperature vs time profile. I was thinking of creating a finite element model. Can someone...

Homework Statement In a friendly game of handball, you hit the ball essentially at ground level and send it toward a wall 4.6 m away. The ball is hit with a speed of 20 m/s at 40 degrees above the horizontal. a.) At what height does the ball strike the wall? b.) Calculate the speed of...

Homework Statement https://scontent-a-sjc.xx.fbcdn.net/hphotos-prn1/t1.0-9/603671_1409914319284787_3441607163537875560_n.jpg Homework Equations conservation of total momentum M1V1+M2V2 = MtotVf The Attempt at a Solution I tried using the COTM as such: x...

Homework Statement A book of mass M = .55 kg rests on a table where the coefficient of static friction us = .45. A force, F = 4 N acts on the book at an angle of 15 degrees above the surface of the table. What is the acceleration of the book if the coefficient of kinetic friction uk = .23...

I am reading James Munkres' book, Elements of Algebraic Topology. Theorem 6.2 on page 35 concerns the homology groups of the 2-dimensional torus. Munkres shows that H_1 (T) \simeq \mathbb{Z} \oplus \mathbb{Z} and H_2 (T) \simeq \mathbb{Z} . After some work I now (just!) follow the...

Homework Statement Part (a): Derive Ehrenfest's Theorem. What is a good quantum number? Part (b): Write down the energy eigenvalues and sketch energy diagram showing first 6 levels. Part (c): What's the symmetry of the new system and what happens to energy levels? Find a new good quantum...

Umm what just happened? I understand as far as u=x+y and v = y/x and when he does the 2d curl. What I don't get is the step thereafter when he flips it. How does he know to flip it? Further, when he flips it wouldn't that make the dvdu inside the integral cancel and hence leave him with dxdy?

"2D slice of a 6D Calabi-Yau manifold", and other? Mathematically what does it mean to take a "2D slice of a 6D Calabi-Yau manifold"? Part of quote taken from the top of, http://en.wikipedia.org/wiki/Calabi%E2%80%93Yau_manifold Is there a finite number of slices of a 6D Calabi-Yau manifold...

Hi Im busy creating an application to simulation a rocket in orbit. I am having trouble as the results I am getting are incorrect. Could someone please check if I am using the correct method as stated below. Everything works on a 2d plane, and has a x and y coordinate and a x and y...

Hi, I have problems with the following: Number of modes for a 2d crystal with one atom per primittive unit cell. 1. Number of discrete vibrational modes? Should there be 2N of them? That is what I come up with if I think of one transverse and one longitudinal mode for each k. But I am...

I am looking at an object that diffuses randomly inside a circular plane. What is the easiest way to find the expectation value for how long would it take on average to reach the wall if it was initially placed at a random position? If it is easier: what if the initial position were the...

Vector, by definition, have 2 or 3 scalar components (generally), but the curl of a vector field f(x,y) in 2D have only one scalar component: \left ( \frac{\partial f_y}{\partial x} -\frac{\partial f_x}{\partial y} \right )dxdy So, the Curl of a vector field in 2D is a vector or a scalar?

Football Player 1 (mass m1 = 72 kg) has just caught a pass at the 50 yard line when he is tackled by Football Player 2 (of mass m2). Each player was initially moving at an angle of theta with respect to the 50 yard line at 8.0m/s. the tackle is a perfectly inelastic collision and the players...

Well when I watch movies I see space time as 2d. But how do we see the space time from Earth to a region lower than earth.

A simple question about elasticity theory/finite element method: Suppose I have a tetragonal 2D piece of a linear isotropic elastic material, that has Young's modulus ##E## and Poisson's ratio ##\nu##. The vertices of the tetragon are at positions ##\textbf{x}_{1}##, ##\textbf{x}_{2}##...

Please excuse me for my less knowledge. I always tried to physically visualise mathematics facts. My first question is " Is 1D space of physics a subspace of 2D space of physics and so on... So in this way our 3D space is a subspace of 4 D space(spacetime). Can I imagine applying all properties...

I was trying to deduce the 2D Rotation Matrix and I got frustrated. So, I found this article: Ampliación del Sólido Rígido/ (in Spanish). I don't understand the second line. How does he separate the matrix in two different parts? Thanks for your time.

Projectile Motion 2D -- Spring Launched There is this ball launched from a slingshot. Given the mass is 0.9 kg at the angle 60° to the horizontal, with k=750 N/m and is stretched by length l = 0.6 m. The ball is shot 1 m above the ground. (g=10 m/s2). The questions are to derive the equation...

Homework Statement Mortar crew is near the top of a steep hill. They have a mortar. They angle this mortar at an angle of \theta = 65° . The crew fires a shell at a muzzle velocity of 228 ft/sec (69.5 m/s). How far down the hill does the shell strike if the hill subtends an angle of \phi =...

Hello Guys, This is my first post here. I need help on my homework that I have been working on all evening. Basically I am given video data. 10 trials of a plastic ball in projectile motion. I have to use Logger Pro. Four things I need to find out for each trial: x-velocity y-velocity...

1. Homework Statement Two particles of mass m are connected by a light inextensible string of length l. One of the particles moves on a smooth horizontal table in which there is a small hole. The string passes through the hole so that the second particle hangs vertically below the hole...

2D Kinematics -- 2 rocks off a bridge Homework Statement Heather and Jerry are standing on a bridge 60m above a river. Heather throws a rock straight down with a speed of 14m/s . Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air...

Homework Statement A basketball, thrown off a cliff with a velocity of (30.0, 25.0) m/s, lands on the ground 8.00 s later. In the absence of air resistance, what is the distance the projectile lands from the base of the cliff?Homework Equations...

These are the papers it's based off of.. http://mredwards.net/Files/Problem%20D%20Horizontal%20Projectiles.pdf http://www.mredwards.net/Files/Problem%20E%20Projectiles%20from%20an%20angle.pdf My class uses g for gravity and delta x, vx etc...

Hello i wasn't sure if to ask this in here or in homework! I stumbled upon an assignment to build the model of photon gas in 2D space. in the answer it was stated that the light have 2 polarization states in 2D model, how come? the field have only one way to propagate regarding the wave...

Homework Statement http://postimg.org/image/bh4tzmd4l/ Can someone explain to me what "acceleration of the truck relative to the crate means"? What should I do first in trying to solve this?

Homework Statement In the diagram attached a bar weighs 500 kg and is a 2D plane rigid body with mass centre at G. At the instant shown, the bar is moving horizontally at but reducing speed, causing horizontal deceleration as shown by vector a=-7i m/s2. At the same time, the bar is being...

Homework Statement A 1.0-kg particle is moving in the +x direction at 4.0m/s when it collides elastically with a 4.0-kg particle moving in the −x direction at 1.0m/s After colliding the 1-kg particle moves off at 130 counterclockwise from the positive x-axis. Find the final speeds of both...

Does a photon, or any particle that travels at c, believe the universe to be 2 dimensional?

Hello Everyone, Happy Thanksgiving. I have physics issues. I went around the entire boundless universe in the last two days, and found out the Schrodinger forgot to develop the math for the momentum expectation value for a 2-D particle in a box. It's nowhere to be found. I am a chemistry major...

Is there anyone out there that knows how to define the p operator for a 2-d box. Please can you give a full answer, and not only a hint. I think that no one on this planet knows what it is. I have looked all over the internet. If there is no answer. Why don't people just say it? I think nobody...

Homework Statement A small block of mass m is sliding around the inside of an L-shaped track of radius r. The bottom of the track is frictionless; the coefficient of kinetic friction and the wall of the track is μk. The block's speed is v0 at t0=0. Find an expression for the block's speed at...

Hi all. I have a grid with 4 points, A, B, C, and D. Each valid move is either going to the right for one block or going down for 1 block. Here is the grid. I need to calculate the following: a) How many different valid routes from A to D? b) How many valid routes from A to D that must avoid...