2d Definition and 1000 Threads

This is not for an assignment as much as my own edification, but as it is a homework-style question, I thought this would be the best place. If not, I apologize. Homework Statement Given two hockey pucks of radius R1 and R2 on a frictionless, infinite level plane, located at (X1,Y1) and...

Hi, This isn't a homework question. I need help on how to go about solving 2D kinematics problems. My teacher is terrible and doesn't even teach. It seems like it should be pretty straight forward with solving these, but I'm just having a hard time. If someone could give me tips on how to...

Homework Statement A rifle is aimed horizontally at a target 100 ft. away. The bullet hits the target 0.75 in. below the aiming point. (a) Calculate the bullet’s time of flight. (b) Calculate the muzzle velocity of the rifle. (g = 32 ft/s Homework Equations delta x = vx * t...

Homework Statement The position vector of a particle is given by r= ihat(2t^3-21t^2+60t+10) +jhat(3/2)(t^2-10t+9) At what time, if any, is the velocity of the particle zero (ie what time is the particle instantaneously at rest) Homework Equations The Attempt at a Solution...

Homework Statement Find the centre of mass of the 2-dimensional plate which occupies the region inside the circle x^2+y^2=2x, but outside x^2+y^2=1, and for which the density is proportional to its distance from the origin. Homework Equations Centre of mass for x coordinate: 1/m ∫∫ x ρ(x,y)...

Homework Statement How is it possible to prove that 2-dimensional rotations (via matrix transformations) are commutative? Homework Equations The Attempt at a Solution I believe subbing in trig variables in two matrices and then calculating them in different orders would...

- I need to find the appropriate launch angle that will land an object 65 meters north of my position. Therefore Δdx = 65m [N] - I am told that the time the object take to hit the ground is 5.23 seconds. Therefore Δt = 5.23s - I then used the equation Δdx = v1xΔt to find v1x = 12.43 m/s...

Homework Statement Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of 11 m/s due north. Plane 2 taxies with a speed of 8.5 m/s in a direction 20 degrees north of west. a) What is the magnitude of the velocity of plane 1 relative to plane 2? b) What is the...

The theory seems simple. Light strikes the film in a camera, or a CCD and the different regions of intensity are recorded. But what I can't get my head over, is how a different portion of the film strip or CCD *knows* which part of the image it is supposed to be representing. For example, if...

FEA meshing - why not 2d mesh -> 3d mesh ? Well, I have just realized why the people do not use FEA (finite elements analysis) as often as they should do: FEA preprocessing phase is a disaster! Simply speaking - there is no simple, efficient meshing software available on the market. Existing...

I'm having difficult understanding the question, can somebody help me? The question is: "The velocity of a 3 kg particle is given by v = (3ti + 6(t^2)j )m/s, with time t in seconds. At the instant the net force on the particle has a magnitude of 35 N, what are the direction (relative to the...

I'm trying to figure out what formula to get started in this question: A 7kg bowling ball moving with a velocity of 8 m/s strikes a single pin of mass 1.36kg. The impact deflects the bowling ball 10 degrees from it's original path. The pin moves along a path 45 degrees from the original path...

What I'm looking for is an algorithm to find the details on the intersection of of a circle and rectangle in two dimensional Euclidean space. The information I need to find is straightforward enough; all I need is to know whether the rectangle and circle are not intersecting, partially...

I'm kind of embarrassed I can't figure this out on my own... It's to be used to determine the movement of objects in a game (2d space). This is quite obviously something that has been solved many times over, but I haven't had any luck searching for an answer, so I thought I'd try here! Homework...

Homework Statement A ball is launched from a cliff 1 meter high. At the bottom of the cliff, the ground is not flat, it slants downward at a 45 degree angle as show. The ball's initial; velocity is 10 m/s and makes a 20 degree angle with the horizontal. Find x, the horizontal displacement of...

I need to calculate the max height and distance (at the max height) of a ball traveling 33.6m/s 30 degrees above the x-axis. The max height was no problem, but I tried finding the distance using an arc length equation (with respect to time) and it didn't work. My distance was shorter than my...

Homework Statement A flying saucer maneuvering with constant acceleration is observed with the positions and velocities shown below: http://imgur.com/gq1g0 What is the saucer's acceleration? *note: I created the image in paint and I did forget to label the vectors. The one starting...

Homework Statement The "hang time" of a punt is measured to be 3.50 s. If the ball was kicked at an angle of 69.0° above the horizontal and was caught at the same level from which it was kicked, what was its initial speed? (Neglect air resistance.) Homework Equations All Kinematics...

I'm studying for a re-examn in a physical measuring techniques course that includes some Fourier analysis. On old exams there are always a question about a graphical 2d Fourier transform. It can be an ellipse containing a grid of circels, or something like that. In the solutions he takes the...

Hi, I was thinking if there is a way to combine 2D and 3D plots in mathematica. I mean, for example I have a curve on the XY plane and I want to combine it with a graph of a surface, so to have that curve under the surface. The other case , to combine a 2D vector field with a surface ...

Hi. I don't know if this is the correct place to ask this, but prefer you to suggest me where I should ask. I'm starting with numerical simulation and I've been playing with the finite differences method to solve the heat equation on 1D, 2D and 3D uniform grids. This was really simple. Now I...

Hi all, I am doing a program to simulate the 2D Ising Model under the metropolis algorithm. In order to check my results I would like to compare them with the analytical expressions for the mean energy, magnetization, specific heat and magnetic susceptibility. I already found the...

Dunno if anyone have played a massive successful game called "Altitude", it's a multiplayer game, I have no idea what language it is coded, but I want to know is it possible to code a cheap mock up of the game with Java? And distribute it on Android?

Hey peeps, I was bored the other day and wanted to paint something, so I started tweaking images in mathematica to make them eaiser to paint/draw and I came across de jong attractors and the following http://flam3.com/flame.pdf" . Basically I immediately remembered I had forgotten most of...

in some work I'm doing i have a 2D rectangle that can be rotated and/or translated in any direction in 2D space. for example it might look like this: (x=30,y=-10) +-----------+ (x=30,y=2) +-- +y | | |...

Hi i am new to this forum, i hope i post this in the right thread. I am developing a 2D artificial evolution program and i am wondering what other people here think about the idear and maybe discuss this in depth. The system The system is a black box with x analog input signals. 10 of...

Homework Statement Two hockey pucks of equal mass undergo a collision on a hockey rink. One puck is initially at rest, while the other is moving with a speed of 5.4m/s. After the collision, the velocities of the pucks make angles of 33 degrees and 46 degrees relative to the original velocity...

Hey all - this is my first post on the forum but I've browsed for help for a really long time on other topics. Any help would be greatly appreciated! So I have a function, called stability.m that takes in two independent variables, say x and y, as input and outputs either a 1 or a 0 for each...

I have a 2D function f: f(x,y) = a + bx + cy + dxy what is the inverse of this function?

I'm trying to find an analytical solution (probably containing a convolution integral) to a 2D diffusion problem in the xy-plane, when the value h(t) at the origin is known for all times t>=0. The diffusion constant is the same everywhere. The last problem solved under the section...

When in 2D, the coordinates of a place in space vary depending on the coordinate axes that are being used given by: A_{x}^{\prime}=A_{x}\cos\theta+A_{y}\sin\theta (1) and A_{y}^{\prime}=-A_{x}\sin\theta+A_{y}\cos\theta (2) Now I am trying to reverse it - to show what A_x and A_y are in...

I'm solving the 2D harmonic oscillator, numerically. -\frac{1}{2}\left( u_{xx} + u_{yy}\right) + \frac{1}{2}(x^2+y^2)u = Eu The solutions my solver spits out for say, the |01> state, are linear combinations of the form |u\rangle = \alpha_1 |01\rangle + \alpha_2 |10\rangle which is...

I have created a very simple numerical simulation that models an object being thrown off a building at some angle, and when the object hits the ground, the simulation stops. Now I want to add in collision detection. How would I go about doing this? What would be the equations needed to compute...

How do they convert movies that were shot in 2D to 3D? I recently saw that they were rereleasing Titanic in 3D... Doesn't this require multiple camera angles? or is it more like doing a 'cutout' of the actors and placing them on a Z-Plane? The other method I can think of is recreating the sets...

I guess this is classified as euclidean geomtry right? So do we? If not, what else is there to know?

Homework Statement Two dimensions. In Figure 13-34, three point particles are fixed in place in an xy plane. Particle A has mass mA = 7 g, particle B has mass 2.00mA, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placed near the other three particles. What (a)...

Homework Statement A two-dimensional harmonic oscillator is described by a potential of the form V(x,y) = 1/2 m \omega^{2}(x^{2}+y^{2} + \alpha (x-y)^{2} where \alpha is a positive constant. Homework Equations Find the ground-state energy of the oscillatorThe Attempt at a Solution I have tried...

Greetings all, Is it possible that black holes are the result of collapsed dimension as opposed to huge mass/gravity events? Perhaps, the event horizon is shredding 3d objects and creating new space expanding the universe and forming the stuff of the galaxy around them. Could the curve of a...

Hi! It's been like two days since I have tried to make this work, still I got nothing. Searched Google etc. but no help there. I have a three dimensional matrix in form of {{a,b,c}, {d,e,f}, {g,h,i}, ... etc. } with a total of 51 elements, i.e. 51x3 matrix. What I want is to plot it as...

Dear forumers, There is a wave computed in a 2D domain. Could you please give me a hint how to find the wavevector of the wave? I think I have to Fourier transform the wave in space but I cannot figure out how to obtain that k_x and k_y from the transformation. Crot

Homework Statement http://img191.imageshack.us/i/questionyw.png/ Homework Equations Given in problem The Attempt at a Solution a) I've been able to find expressions of operators x, p_x, y and p_y in terms of the creation/annihilation operators and hence been able to express the...

How much more than is to learn when you go from 2D to 3D? I'm curious to know whether all these problems I solve in 2D are less helpful for when we move to 3D, where there are more elements?

Confusion with 2D DFT Hello everyone, I'm trying to figure out why the third transform in the picture I attach here is different to the other ones, why it's 'distorted'. I know that it's related with the fact that if you copy the image in a grid the resulting image has discontinuous lines...

Dear all, I having a trouble in defining 2D and 3D stress . As I know Maximum principal stress in 2D and 3D cases is totally different. In which condition we should apply 2D stress formula and when we need to use 3D stress formula?

1. The problem statement I'd like to use Matlab to help me model and solve a simple 2D steady state heat conduction problem: A square section duct is buried in the Earth some distance below the surface. This duct is at a steady temperature of 60 degrees C. I need to use the central divided...

Homework Statement You are on the top of a 100m high (approximately 30 story) building. You just finished building a brick grill so the tenants of the building can have barbecues. You have one brick left and do not want have to lug it back off the roof. Luckily, you see a garbage truck with...

2D Momentum Problem with little info for Object [B] Homework Statement A 0.150kg billiard ball [A] is rolling toward a stationary billiard ball [B] at 10.0m/s. After the collision, ball [A] rolls off at 7.7m/s at an angle of 40.0 degrees clockwise from its original direction. What is the...

Hi, After considerable simplification in a problem I'm working on, I end up with the following partial differential equation: \partial_{\eta}\left(\frac{\sinh\eta}{\Delta}\partial_{\eta}g\right) + \partial_{\theta}\left(\frac{\sinh\eta}{\Delta}\partial_{\theta}g\right) + c^2\left[\frac{E_{p}...

program pr2 implicit none integer:: i,j real, dimension(21,80) :: istat open(7,file='sens.dat',status='old',action='read') read(7,*)((istat(i,j),i=1,21),j=1,80) write(*,*)istat end Where is the problem?Input file has 1680 values.But I get...

Homework Statement : A cart 'C' mass of 2 tonnes is launched at 10m/s towards Cart 'B' which is 3 tonnes and moving at 12.5m/s. The angle between their paths of motion is 90 degrees. When the 2 carts collide, they remain stuck together. what is the velocity of the stuck together cart 'CB'...