2d Definition and 1000 Threads

1. a 52 Kg mountain climber is suspended from a cliff by a rope. Given a few bits of information the angle formed by the rope to the climber is 31 degrees The angle of the climbers legs is 15 degrees north of horizontal (a) Find the tension in the rope and the force that the mountain...

So the way we learned to solve elastic collisions is to use the center of mass reference frame. I calculated that the COM is moving at v=1.66 m/s relative to the lab frame. Next I calculated the velocity of the white ball to be +1.66 m/s relative to the COM frame and the black ball to have...

Hi All, I would like to know how can I call or express the following process! I use a (3x3) 2D FIR Filter for imaging processing with DC = 0, like this: 0 1 1 2 O 2 /8 1 1 0 My filter is such that I can decompose it into finite sates, as my image (medical) can take 9...

Homework Statement A Projectile is launched from the top of a 100m tower and falls 20m below the bottom of the tower and 90m away in the x direction. Time of flight is 6 seconds. 1. Find the x component of the velocity of the object when it strikes the ground. 2. Find the y-component of...

Homework Statement " An airplane turns slowly for 9.2s horizontally. The final velocity of the plane is 360km/hr [N]; the average acceleration during the turn is 5.0m/s^2 [W]. What is the initial velocity of the plane?" Homework Equations a=ΔV/t The Attempt at a Solution at=Δv...

1. The Ferris wheel [...] rotates counterclockwise, is just starting up. At a given instant, a passenger on the rim of the wheel and passing through the lowest point of his circular motion is moving at 3.00 m/s and is gaining speed at a rate of 0.500 m/s^2 . 2. Find the direction of the...

I am designing a 2D model of a three-phase core-type transformer in ANSOFT MAXWELL 14.0. While doing so I have encountered a strange problem. Start of the problem:- While designing the transformer, I wanted to incorporate core losses. So, I did the following steps:- Excitations -> Set...

I am designing a 2D model of a three-phase core-type transformer in ANSOFT MAXWELL 14.0. While doing so I have encountered a strange problem. Start of the problem:- While designing the transformer, I wanted to incorporate core losses. So, I did the following steps:- Excitations -> Set...

Homework Statement A 0.30 kg puck A, initially at rest on a frictionless horizontal surface, is struck by a 0.20 kg puck B that is initially moving along the x-axis with a velocity of 2.0 m/s. After the collision, the 0.20 kg puck has a speed of 1.0 m/s at an angle of θ = 530 to the positive...

Hello. I'm new on this forum and I hope I'm posting this in the right place. This is not for a homework assignment but a spare-time project I'm working on. Homework Statement The goal with this project is to make a simple program that simulates an object that orbits a single fixed point...

I am stuck on the following task; Create a 2D Parametric Plot showing a spiral path. The parametric equations for a logarithmic spiral are x=k^u Cosine(u), y=k^u Sine(u), where k is a constant, and u is the plot parameter. What does the value of k determine? I have been typing in the...

Homework Statement Solve for the unit vectors x-hat and y-hat in terms of r-hat and phi-hat. Homework Equations r-hat=cos(phi)x-hat+sin(phi)y-hat phi-hat=cos(phi)y-hat-sin(phi)x-hat, The Attempt at a Solution I have been working on this for a really long time, and I keep getting a...

The figure shows the successive displacements of an aircraft flying a search pattern. The initial position of the aircraft is P and the final position is P'. What is the net displacement (magnitude and direction) between P and P'? My attempt: So, my understanding is that the net...

The integration by parts rule in two dimensions is \int_{Ω}\frac{\partial w}{\partial x_{i}} v dΩ = \int_{\Gamma} w v \vec{n} d\Gamma - \int_{Ω} w \frac{\partial v}{\partial x_{i}} dΩ I have two examples in polar coordinates In first example I have \vec{n}=\vec{n_{r}} \int_{\Gamma}...

Im trying to calculate the refelction angle of 2 points in a 2d plane, but not the same distance away from the reflection surface, and I'm drawing a blank. Any help would be hugely appreciated.

The combination of special relativity and quantum mechanics in a single framework makes our understanding of such systems to be true only in 4D, Minkowski space...I have noticed that recent published work concerning 2D systems and I am not sure about this reduction of 4D to only 2D, does it mean...

The problem: (Note: the correct answer is bolded throughout) A basketball is launched with an initial speed of 8 m/s at a 45 degree angle from the horizontal. The ball enters the basket in 0.96 seconds. What is the distance x and y? Just ignore the distance x, I know it's simply the product...

Integral through a path in 2D (or ND) What's the usual "definition"? [Bold letters are vectors. eg: r] We have a scalar function f(r) and a path g(x)=y. I see two ways to reason: (1) The little infinitesimals are summed with the change of x and on the change of y separately. (2) The little...

Homework Statement Say we have a 2D rigid body transform, with parameters p = [ p_1,p_2,p_3] for rotation, x translation and y translation respectively. I'm using the transform to .. transform an image. Is there a way to have: For a point x , y : x',y' = transform(x,y,p) <=> x,y =...

Hello Everyone, I am having a heck of a time with collisions in 2D and with rotational kinetics and rotational dynamics. I have posted 5 questions below that I seem to be having the most troubles with. I know it my be a lot to ask but if anyone here can help me to understand how they got to...

I havn't had much classes on numerical methods in quantum mechanics and I'm wondering how one would solve a general problem involving 2d motion. With general, I mean a problem that cannot be separated. Consider for instance the hamiltonian \hat{H} =...

Hey everyone! I have the following question for you guys to settle an argument: If you were an inhabitant of Flatland and a cube decided to visit you like the sphere did, would you be able to see more than 2 sides at a time? My answer is no because Mr. Cube could appear as a point, a square...

Homework Statement Homework Equations Work done by a couple (U) = ∫M dθ Where M is the applied bending moment and θ is angle For a uniform, slender beam mass moment of inertia (I) through an axis perpendicular to the beam and passing through the centre of mass = \frac{mL^{2}}{12} If...

Hi everyone! Let me introduce myself, my name is Francisco and I'm an architecture student. I've recently become interested in algorithmic design, which is basically utilizing math to help design (an example would be structure or space optimization). To contextualize, I am a noob with...

Homework Statement A cannon is fired at an angle of 42 degrees, the cannon ball travels 8.9 meters in the x direction. Its hang time is 1.5 seconds. The cannon site .43 meters above the ground on a stand. If this same cannon was fired at 35 degrees, what would the hang time and the distance...

Hello, If a rotation of a 2-d disk about a 1-d line can produce centrifugal gravity, is it right to infer that rotation of a 3-d volume about a 2-d plane would create gravity, observable in the 3-d volume? It is confusing to think about the direction of this gravity, if it exists...

Hi all, If I have a Gaussian with the equation: G(x,y) = h*exp(-(x-x0)^2/a -(y-y0)^2/b) where x0, y0, a, b and h are the parameters which may vary, what's the equation for the elliptical contour line at the half-max of G? I'm getting myself confused! Thanks for help

Hello, I consider two functions f:R^2 \rightarrow R and g:R^2 \rightarrow R, and the two dimensional convolution (f \ast g)(\mathbf{x}) = \int_{\mathbb{R}^2}f(\mathbf{t})g(\mathbf{x-t})d^2\mathbf{t} I proved using the Fourier transform and the convolution theorem that the convolution of two...

Any python/matplotlib experts out there?? This one has been driving me crazy all day. I have three vectors, azimuth, frequency and power, which I would like to histogram and plot on a polar axis. I can plot a scatter plot this way no problem but the histogram gets messed up somehow. An example...

Hi all! I would like to extrude a 2d curve in the X-Y plane along the Z direction,thereby wanting to obtain a plane of Z units long.How should I proceed? Is there a tool especially for this in MATLAB?

Homework Statement Andy (mass 92 kg) and Sam (mass 75 kg) are both on toboggans (each toboggan has a mass of 4.6 kg) traveling on a crash course towards each other. Just as they hit, they lock hands so they move together as one. What is their new speed? In what direction do they travel? mA =...

Homework Statement A basketball is thrown from a height of 2m. The direction of its velocity when it hits the rim of the basketball hoop is 45 degrees below the horizontal. The basketball hoop is 3m above the ground and 4.5 m in front of the shooter. How long does the ball take to hit the rim...

I have this code that i have been working on that will interpolate and integrate some data. I need to read this data from a file with unknown rows and columns to a two dimensional array/matrix so that the data can be broken down further into one dimensional arrays from the parent 2D array's...

Hello everyone, I am studying laminar airflow in a channel (2D) and trying to simulate it with FLUENT software but I need to know about the entrance length, and I want to know how I can be sure that a flow is fully developed? is it just by looking at the velocity profile? or looking at the...

Hi all, I am wondering how I plot the steady state temperature distribution of a square flat sheet in maple. I solved the initial partial differential equation I was given and ended up with a function generalized as T(x,y) =(constants)*sum(stuff). Which is a Fourier series representing...

Homework Statement Ok, I'm learning C programming and I'm trying to create a dynamic 2D array. This is the code that seems to work in creating a dyamic array. I found it in a book. //rows and cols are values entered by the user when the program runs. int **(matA) =...

Homework Statement The stoplight had just changed and a 2000 kg Cadillac had entered the intersection, heading north at 3.0 m/s, when it was struck by a 1000 kg eastbound Volkswagen. The cars struck together and slid to a half, leaving skid marks angled 35 degrees north of east. How fast was...

http://imageshack.us/a/img824/1121/asdasdaw.png I am having trouble completely understanding what the question wants. I know it is quite clear but the part I am having trouble is the following. It says 'pretend' w(x,t) is a solution to the 2D equation, just independent of y, then to...

1.A piece of ice falls on a frozen lake and breaks up into three pieces which go off in the directions shown in the diagram below. The mass of the bigger piece is 4 kg and it moves with a speed of 4 m/s straight down, If the two smaller pieces are 2 kg each and break off at 45 degrees each. What...

Hi guys, i need help for homework, it seems easy, but i can't do it:cry:, no calculation to do only writing 2D coordinates in different frames. Homework Statement The hallmark of an inertial frame is that any object which is subject to zero net force will travel in a straight line in a...

Homework Statement http://imgur.com/fGYf0 Stuck on #3 Homework Equations V = Vi + a*t Y = (1/2)gt^2 + (ViY * t) + Yi The Attempt at a Solution I have found the vertical and horizontal components and the initial velocity. ViX = 6.2 ViY = 9.922 Vi = 11.7 Yf = 0 Yi = 7 Xi =...

Homework Statement I am trying to flip tokens in my reverse code and I'm a little stuck so far I have a function that checks directions but I don't know how to implement it my code is below. Homework Equations The Attempt at a Solution /reversi.c //Samuel Gilbert...

Hi All, I'm looking for help in converting 2D density (objects/area) in a circle to 3D density (objects/volume) in a sphere, the circle and sphere having the same radius and distribution of objects being uniform. To make this problem more intuitive, here's a sample application: both crabs and...

Homework Statement http://i.imgur.com/0h6dF.png Homework Equations ƩFx=0 ƩFy=0 ƩMo=0 The Attempt at a Solution not sure what unknowns are

Homework Statement I have this assignment on where I have to make up a scenario and solve for the question. The question is that there is a baby that is being thrown out of building into a moving car, (to keep the baby out of harms way). How fast would the car have to traveling to catch...

Homework Statement Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Initially ball A is moving along the y axis at +2.0 m/s, and ball B is moving to the right along the x axis with speed +3.7 m/s. After the collision (assumed elastic)...

is it possible to use renormalization group theory to get the critical temperature of the 2d ising model? or even, is it possible to show that there is a critical point?

where can I find them? all forms to find out any missing quantity?

Hello- I am trying to find a reference describing the z(or c) component of the basis vectors for graphene. I seem to recall that there is a slight bend such that half of the atoms lie slightly above the plane. However, every paper I have found references the perfect 2D lattice of Graphene...

Homework Statement An airplane is flying 100m/s (N20E) according to the pilot, but is in a wind that is blowing 40 m/s (S10E). What is the plane's real velocity? Homework Equations Pythagorean Therom Cosin and Sin Laws Component Method The Attempt at a Solution Okay, I think I...