2d Definition and 1000 Threads

Show that, in polar coordinates, the system is given by r′ = r(r^2 − 4) θ′ = 1x′1 = x1 − x2 − x1^3 x′2 = x1 + x2 − x2^3

1. Homework Statement how to get R=Vi 2 sin2θ/g y=x*tanθ-[x2*g]/[2(Vi*cosθ)2] Homework Equations Vy=Vi*sinθ-gt y=Vi*sinθ*t-1/2gt^2 Vx=Vi*cosθ x=Vi*cosθ*t The Attempt at a Solution I use this formula to find the expression for t Vy=Vi*sinθ-gt gt=Vi*sinθ t=Vi*sinθ/g I substitute it into...

Homework Statement One car of mass 1400 kg is traveling at 45km/h when it collides and becomes entangles with another car mass of mass 1300 kg traveling at 39km/h[E]. What is their velocity after collision So MA = 1400 kg VA = 45kh/h MB = 1300 kg VB = 39 kh/h [E] and After Collision: MAB =...

Homework Statement Problem: An object of mass m1 elastically collides with an object of mass m2 =(3/2) m1 that is initially at rest. The less massive object has speed v1 and travels at an angle of θ1with its original direction (x-axis) after collision; the more massive object has a speed of v2...

I am concerned that this question may instead be a philosophical one although if it it mathematical, any insights would be very appreciated. The question is this; could an object of N dimensions exist entirely in N-1 dimensions? In other words, could an infinitely flat object have 3 degrees of...

Homework Statement Two objects collide and bounce off one another. After the collision, object m1 = 2.74 kg moves off at 12.8 m/s at a heading of 295 degrees. Object m2 = 2.28 kg moves off at 12.8 m/s at a heading of 241 degrees. Initially, m2 was traveling at 11.1 m/s at a heading of 334...

I learn that we can expand the electric potential in an infinite series of rho and cos(n*phi) when solving the Laplace equation in polar coordinates. The problem I want to consider is the expansion for the potential due to a 2D line dipole (two infinitely-long line charge separated by a small...

Homework Statement In the exercise, we solved the 2D Harmonic Oscillator in kartesian (x,y) and polar (r,φ) coordinates. We found out that both have the same energy levels, but they look very different, when I plot them. What am I missing? The polar solution seems more like it. Homework...

Homework Statement http://imgur.com/RDMG4Pj Link to drawn out problem^ The ball goes through the hoop NOT at the peak, but rather on it's downward path. It's asking for the total x-displacement, launch angle (theta), and the total flight time. It must me solved WITHOUT using the range...

Homework Statement [/B] 1. I've been tasked with forming a 10 x 10 matrix with elements 0, 1, 2, 3, 4, 5,... and have it display properly. 2. Then, take this matrix and make a 2d-histogram out of it. Homework Equations Here is my code void matrix6( const int n = 10) { float I[n][n]; //...

In trying to get an intuition for curl and divergence, I've understood that in the case of R2, div f(x,y) = 2Re( d/dz f(z,z_)) and curl f(x,y) = 2Im( d/dz f(z,z)), where f(z,z) is just f(x,y) expressed in z and z conjugate (z). Is there any way of proving the fundamental properties of div and...

Homework Statement A 2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an identical stationary ball. If the first ball moves away with angle 30° to the original path, determine: a. the speed of the first ball after the collision. b. the speed and direction of the second ball after...

In a two-dimensional environment: Given: a starting point (x1,y1) an initial velocity (speed and 2D heading/direction) a constant rate of turning (yaw, since there is no roll or pitch in only two dimensions) a constant acceleration of the object from itself (not like gravity where the direction...

Hello, My name is Thibaut, I am a student in physics and I currently struggling with something that some of you might find obvious. I did an experiment with a laser 650nm passing through a 2D squared grid. The light interferes and diffracts and a photomultiplier collect only the central spot...

Homework Statement A stone is thrown from a height 2.1m with an angle of 45 degrees. It fell to the ground 42 m from the throwing position, measured horizontally. Initial velocity is 19,81 m/s, flight time is 3s what is the maximum height? Homework Equations All 2D kinematics equations. The...

Homework Statement A ball is rolling towards a rectangular hole which is 40cm deep and 2cm wide with a velocity 1m/s. It falls through the hole, bounces off the walls a couple of times and falls down. The direction of balls motion is perpendicular to the hole (falling in it from one side)...

Homework Statement You are called to the site of a collision between a small car and a half ton truck on a lonely country road. You are given the following information: a) On clean dry pavement at a temperature of 20 C, the coefficient of kinetic friction is 0.600 on locked wheels. b)...

I want to create a simple 2d Gravity simulator where I have a large body i.e. A circle which could be a planet or the sun. I then want to simulate small comets or asteroids traveling past it, crashing into or being pulled into orbit. I know the gravitational force formula but that seems the...

Hi, I would like to use the 2/3 padding rule for the dealiasing. In 1D, it's straightforward. For 2D, do I just have to set the highest 1/3 frequency components zero in both directions? For example, I ffted a 7*7 real data in Matlab, then I set the 4th and 5th columns and rows (corresponding...

Homework Statement A red and a blue rubber puck are free to slide along a frictionless air table. Each has a mass of 40 grams. They collide in an elastic collision. Initially the red one is at rest and the blue one is traveling in the x direction with a speed of 4 m/s. After the collision the...

What is the difference between psi(x;y) and psi(x) in 2D BO approximation for particle in a box. how to show psi(x;y) in MATLAB

Homework Statement A pole supporting a pedestrian and traffic light is shown. Neglecting the weight of the cables. Find the tension in the cables and and the support reactions at A,B,E. Mass of traffic signal 20kg Mass of pedestrian signal 10kg Mass of beam BCD 5kg center of gravity C Mass of...

Homework Statement Two equal mass hockey pucks undergo a glancing collision. Puck 1 is initially at rest and is struck by puck 2 traveling at a velocity of 13 m/s[E]. Puck 1 travels at an angle of [E18N] after the collision. Puck 2 travels at an angle of [E4S]. Determine the final velocity...

Hi friends, I am working on a model of linear generator. I have modeled the linear generator in Ansys 2D. Now I want to attach a spring to one end of the rotor and see how it works with the spring attached to it. How do I model the spring? Also is there any proper way to determine the damping...

https://scontent.xx.fbcdn.net/hphotos-xtf1/v/t34.0-12/12204847_801668796608594_2127169351_n.jpg?oh=f6ea92a40c93e4d843a4bf26a358677d&oe=56404FC5

Homework Statement I was reading this textbook: https://books.google.com/books?id=sHJRFHz1rYsC&lpg=PA317&ots=RpEYQhecTX&dq=orbit%20center%20operators&pg=PA310#v=onepage&q=orbit%20center%20operators&f=false Homework Equations In the equation of the page (unlabeled), we have $$...

Homework Statement Consider the following scalar theory formulated in two-dimensional Euclidean space-time; S=∫d2x ½(∂μφ∂μφ + m2φ2) , a) Determine the equations of motion for the field φ. b) Compute the propagator; G(x,y) = ∫d2k/(2π)2 eik(x-y)G(k). Homework Equations Euler-Lagrange equations...

I've tried searching online for one in what I can only guess would be called a reduced algebraic form, and I cannot find it. To make matters worse, for me, at least, I do not have the mathematics knowledge necessary to understand advanced functions, series, and transformations of mathematics...

Homework Statement For an upcoming test on 2D Motion, my Physics Teacher recommended that, instead of memorizing close to a dozen equations, he suggested we derive what we can from the main equations he showed us. So people in my class decided to split up deriving equations to bring them...

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...