2d Definition and 1000 Threads

Homework Statement A test rocket is fired from rest at point (A) along (b) a 200m incline, accelerating 1.25 m/s2 Given: b = 200 m, the angle at point A is 35°, a = 1.25 m/s2 a) Find the maximum height above the ground. b) Find the greatest range. Homework Equations If it was a constant...

1. Homework Statement In the picture Homework Equations In the picture The Attempt at a Solution In the picture My question is .. Why in Fx has sin and Fy has cos ?

For low values of n, Bohr's model fails to reproduce the value of the square of angular momentum, and the repulsion angles But Bohr model is basically a planar model... so the question should be, if we solve the hydrogen atom potential in a 2D equation, is it still different? The eigenvalues of...

Hi all I have few questions in bldc motor simulation in maxwell 2d: - I need help in loss calculation,I exported a bldc motor in rmxprt to maxwell 2d after entering core properties and w/kg data in 50hz,in 2d checked stator and rotor in set core loss and checked (consider core loss effect on...

Homework Statement [/B] Conservation of momentum of x components 10(20Cos(-30)) + 5(5Cos60) = 10v_{f}Cos(α) + 5v_{f}Cos(β) 185.7 = 10v_{f}Cos(α) + 5v_{f}Cos(β) Conservation of momentum of y components 10(20Sin(-30)) + 5(5Sin60) = 10v_{f}Sin(α) + 5v_{f}Sin(β) -78.3 = 10v_{f}Sin(α) +...

Hello folks, I need some physics help. Some background to get us on the same rails :) I am developing a 2D game in my spare time. Player controls an object (aka spaceship) in open space (no gravitation influence) by selecting a point in space. A constant force which is always pointed at the...

I came across a technique called "multiple-scale analysis" https://en.wikipedia.org/wiki/Multiple-scale_analysis where the equation of motion involves a small parameter and it is possible to obtain an approximate solution in the time scale of $$\epsilon t$$. I am wondering if it is possible to...

Hi, I googled 2d elastic collisions to see if I could find a problem where two objects are approaching each other from different directions before collision and then moving away from each other at different directions after collision, but I noticed that all the problems I've found have 1 of two...

Homework Statement A 30 degree inline sits on a 1.1 meter high table. A ball rolls of the incline with a velocity of 2m/s. How far does the ball travel acoss the room before reaching the floor?Homework Equations deltax= vot + 1/2at^2[/B] The Attempt at a Solution...

Just reviewing some QM again and I think I'm forgetting something basic. Just consider a qubit with basis {0, 1}. On the one hand I thought 0 and -0 are NOT the same state as demonstrated in interference experiments, but on the other hand the literature seems to say the state space is...

Homework Statement Use a computer to calculate numerically the potential energy, per ion, for an ifinite 2D square, ionic crystal with separation a; that is, a plane of equally spaced charges of magnitude e and alternating sign. Homework EquationsThe Attempt at a Solution The closest I can...

Homework Statement A particle of mass m moves in two dimensions under the following potential energy function: V(##\vec{r}##) = ½ k (x2 + 4y2) Find the resulting motion, given the initial condition at t=0: x = a, y = 0, x' = 0, y' = vo Homework Equations F = ma = -dV/dr The Attempt at a...

Hello, I've just read and I think I have understood the following result : If we were to geodesically transport all points of a small 2D surface, so small that it would be flat for all purposes, in a direction vertically above it, and if this surface belongs in an arbitrary 3D manifold, then in...

Homework Statement During a game of billiards, a white cue ball traveling at speed v strikes a green ball that was initially at rest. The green ball's speed after the collision is twice the speed of the white ball after the collision. The billiard balls have equal mass. What is the angle...

Homework Statement A mass m1, with initial velocity u, collides elastically with mass m2, which is initially at rest. After collision, m1 deflects by angle θ. Find the maximum value of θ. The answer given is θmax=acos(sqrt(1-(m1/m2)^2)). Does this mean that the maximum angle cannot exist if...

Homework Statement Determine if two circular objects (both moving or one stationary), collide and if so, determine their final velocity. The two objects are being rendered using Graphics's Java library class, updating their position 60 times per second. Their position (x,y) is determined based...

Hi! I'm a bit confused about the source of drag in a 2D flow (actually I'm talking about air). I heard that if the viscosity of a fluid is 0 then there is no drag at all (no pressure and no friction drag). I think I understand why viscosity affects friction drag, but why does it have an effect...

Case 1: I have a 2D Gaussian: ## Ae^{-[\frac { (x-x_o)^2 }{2 \sigma_x ^2} + \frac { (y-y_o)^2 }{2 \sigma_y ^2}]} ## where ## \sigma_x \neq \sigma_y ## (at least not necessarily). Using this as my 2D Gaussian, would the normalization constant be ## A = \frac {1}{2\pi (\sigma_x ^2 + \sigma_y ^2)}...

Homework Statement : The trajectory of a projectile in a vertical plane is y = √3 x - (1/5)x2, where x and y are respectively horizontal and vertical distances of the projectile from the point of projection. Find the angle of projection and speed of projection.[/B]Homework Equations ...

Dear All, Please, I am trying to read in a data shown in array form but no luck. The data is 10 by 10 with each 10 by 10 depicted by a local array, for e.g. 0 0 0 0 0 0. A sample of the code I tried using is as shown below and the data is as attached. Please, any help or suggestion will be...

Hello, I have a data file created by an C++ Programm which creates the lines of the data file by an operation inside an loop data3dRnd << gsl_vector_get(x,0) << ' ' << gsl_vector_get(x,1) << ' ' << my_f(x,par) << endl << endl; where the entries of the gsl_vector x are doubles and...

This is a seemingly simple question, though I'm not exactly sure where I'm going wrong (if in fact I am going wrong). To start off: you have a 2D un-normalized Gaussian function centred at the origin and with a sigma of 4. If you integrate it over a circle of radius 4 also centred at the...

Hello my name is Pablo, I'm new in the forum and couldn't find any similar post so i decided to ask. I have the following situation: In reference frame S (asumed stationary) there is a stick (length Lo in frame S) which falls from Yo at a vertical speed of 0.6c relative to S. In S the stick is...

I neet to do a structured triangular mesh 2D of a complex geometry with FORTRAN Can someone help me!

Consider the following random walks in 2D, starting at a point we will call the origin: (a) random walk on a square lattice (step size 1 on the integer lattice for example) (b) random walk on a triangular lattice (step size 1 on the lattice of equilateral triangles of side 1). Thus there are 6...

Homework Statement Consider the following inital states of the symmetric 2D harmonic oscillator ket (phi 1) = 1/sqrt(2) (ket(0)_x ket(1)_y + ket (1)_x ket (0)_y) ket (phi 2) = 1/sqrt(2) (ket(0)_x ket(0)_y + ket (1)_x ket (0)_y) Calculate the <p_x (t)> for each state Homework EquationsThe...

Homework Statement Trajectories around a black hole can be described by ## \frac{d^2u}{d\theta^2} + u = \alpha \epsilon u^2 ##, where ##u = \frac{1}{r}## and ##\theta## is azimuthal angle. (a) By using ##v = \frac{du}{d\theta}##, reduce system to 2D and find fixed points and their stability...

Given the equation for a Gaussian as: ##z = f(x,y) = Ae^{[(x-x0)^2 + (y-y0)^2] /2pi*σ^2 }## , how would I go about converting this into cylindrical coordinates? The mean is non-zero, and this seems to be the biggest hurdle. I believe I read earlier that the answer is ~ ##z = f(r,θ) =...

Homework Statement (a) Find energies of states at ##(\frac{\pi}{a},0)##. (b) Find secular equation Homework EquationsThe Attempt at a Solution Part(a)[/B] In 1D, the secular equation for energy is: E = \epsilon_0 \pm \left| V(x,y) \right| When represented in complex notation, the potential...

Hi people. I just read some articles about physicist starting to gain more and more evidence for the Universe to be a 3D Hologram of a 2D world (or that's how I understood it). And apparently for us living in a "Matrix", like the one in the movie. Now I would like to understand the relation...

In 2 dimensions, is the geodesic deviation equation governed by a single scalar, independent of the direction of the geodesics? That is, if ξ is the separation of two nearby geodesics, do we have d^2 \xi/ds^2 + R\xi = 0 where R is a scalar that is completely independent of the direction of the...

Homework Statement A simple model for liquid crystals confined to 2 dimensions is o assume each molecule can only align in one of 2 perpendicular directions. To construct a landau model its convenient to define order parameter, s : s = 2 ( Np - 0.5Nt ) / Nt Np - number molecules...

Hello, I'm trying to derive the perfectly matched layer for the TM mode Maxwell's equations using a complex coordinate stretching. As seen in http://math.mit.edu/~stevenj/18.369/pml.pdf . But I'm running in a bit of trouble somehow. \partial_t H_x =-\mu^{-1} \partial_y E_z\\ \partial_t H_y...

I am working on simulating the magnus effect of lift on a spinning ball. Right now spinning on the z axis I can calculate the force effect it has on the x and y coordinates. If I am to add spin on the x do I do the exact same calculations effecting the y and z coords and just add them to the z...

Homework Statement There is an infinite 2D mesh of conducting wire. Resistance between any two consecutive junctions is R. What is the equivalent resistance between any two consecutive junctions? Homework EquationsThe Attempt at a Solution Every junction is connected to four points and one of...

Dear all, I've done many analysis in Maxwell, but in the last ones I'm paying special attention to the error plots. I've been ploting Energy Error and Time Error, but I've got the feeling that I don't know how to properly interpretate it. Fist of all, to validate one simulation, should I...

Dear all, I'm a common user of Maxwell v15, though this is the first time I've tried to work with Linear Motion and Force calculation in it. I've got two solids translating in my model, and they get in a electromagnetic field área. I want to calculate the braking force in each object, so I've...

:ey all, I'm seeking to write an egomotion program and want to do research into existing algorithms and the math of it, but googling "egomotion algorithms" doesn't seem to turn anything up, is there a more popular name for extrapolating 3d scen from 2d scene? Or can anyone post a link? Any help...

Hello. I am completely new to MATLAB and programming in general. I never thought I would have to resort to online help, but here I am. I have spent hours googling and haven't been able to get very far. 1. Homework Statement Calculate the distribution of the temperature of the inner part of the...

Homework Statement An automotive test track forms a curve in the horizontal xy plane specified by y(x) =γx^3 / 2 where γ = 0.2 m^-1/2 and x ≥ 0 . A car moves along the track, starting at rest at the origin at time t = 0 , and picking up speed in accordance with v = ct , where c = 4.8 m s^-2 ...

I understand that this has been answered, but I can't follow it. My apologies, physics is a realm I want to understand but it doesn't come naturally and I have no High school physics background just 1st yr Engineering physics. (passed with supps.) A particle is projected vertically upward in a...

What does f(x,y) in the 2D CT image account for? If for density, then which material is considered as a reference for that density? If for atomic number, then again which is the reference substance?

Homework Statement A 500 g billiard ball is going at 10 m/s [E] when it impacts 2 other identical billiard balls. Afterwards, you observe 2 of the balls moving at 2 m/s [30 W of S] and 3 m/s[45 N of E] respectively. Calculate the Energy lost in the collision. Homework Equations KE = 1/2mv^2...

1. Homework Statement Homework Equations CFD The Attempt at a Solution I'm a bit confused by this question. So at first what I do for the problem on the left, I find the changes in the velocities in X and and Y on all four sides. I notice that the values on the diagram to the left are...

I have measured the conductivity of a 2D material. I want to use σ=N⋅e⋅μ to find the mobility μ=σ/(N⋅e). https://en.wikipedia.org/wiki/Electron_mobility#Relation_to_conductivity I have measured N using a spectroscopic/imaging technique to get a Surface Density with units [cm^-2]. Mobility...

Homework Statement Find the two-dimensional solution to Laplace's equation inside an isosceles right triangle. The boundary conditions are as is shown in the picture: The length of the bottom and left side of the triangle are both L. Homework Equations Vxx+Vyy=0 V=X(x)Y(y) From the image...

Hello, I juste don't know how this was done it is on the solutionnary of a very long exercise and i am not getting this calculation 1. Homework Statement <1,0| ax+ay++ax+ay+axay++axay|0,1> = <1,0|1,0> Homework Equations 3. The Attempt at a Solution We have that |0,1> = ay+ |0,0> I don't...

Hello, i don't understand how i integrate the star equation at the figure. Fot example \int d x_1 \int d x_2 \frac{d^2G}{d x_1} = \int d x_1 \frac{d^2G}{d x_1} \int d x_2 but \int d x_2 x_2|^\epsilon_{-\epsilon}=0 ...sure this is a error, but i don't understand how i find the answer...

PROBLEM FORMULATION: Considering the region \Omega bounded as a square box within x \in [0,1], y \in [0,1] . We wish to solve the 2D, stationary, advection-diffusion equation, 0 = D\nabla^2 \rho(x,y) + \vec{V} \cdot \nabla \rho(x,y) where D is a scalar constant, and \vec{V} =...

I'm studying a two dimensional lattice with delta functions at the lattice points. When I diagonalized the hamiltonian I noticed that if I kept the dimension of my matrix less than 5 I would get band gaps at all the BZ boundaries. However, if I increased my matrix to a dimension 5 or higher...