3d Definition and 1000 Threads

Homework Statement Find the 3D representation of what I think are the commutators [T_a,T_b] for the SU(2) groupHomework Equations I think the generators(X_i) in SU(2) group are the 3 Pauli matrices, which are 2X2 matrices... I assume I need to find the matrices for these generators as 3x3...

Hello All, Is is possible to the derive pitch, roll and translational acceleration, and the location of pitch and roll axes from a set of tri-axial accelerometers mounted on a rigid body? My initial though is that 3 accelerometers might be sufficient, but not sure. I need to do figure out the...

So to get a better edge on our experiment my professor asked if I could take the pictures from cameras which are mounted at three different locations and use MATLAB to create a 3d picture. I have made no progress as I don't really even know MATLAB well. Is there any code or advice one can give?

Homework Statement i need to calculate the orbital angular momentum for 3D isotropic harmonic oscillator is the first excited state The Attempt at a Solution for the first excited state...

Hello, Greetings! How do I get the convective surface matrix from ANSYS for 3D thermal problem. Consider a volume, where some of its surfaces are subjected to convective boundary conditions. What is the way to get those (only convective surface) matrices generated by ANSYS. Any help in...

I've been trying to wrap my head around 3D rotations and specifically, Euler angles. I thought I had a good understanding of performing multiple rotations, but after writing a Matlab script that graphically shows my rotations, I am not so sure right now. My biggest hang up is whether or not a...

Homework Statement http://imgur.com/x8D2wqO I need to solve for theta and I keep getting the angle 65, using cosine law and pythagorean theorem but the answer key says that the angle is 93. The diagram is not to scale. Is my answer wrong or is the answer key incorrect?

if i have rod of a certain length. let point (a) on one end of the rod and point (b) on the other end. along the rod axially is the X axis, vertically Y axis and Z is the lateral direction.let force prependicular on x -axis at point (b) and move this force to point (a) which will create a...

I saw Iron Man 3D last night, and I wanted to know from those who have watched it or will watch it, what do you think of it? The plot, characters, and production. In my opinion, it was good, but Avengers had better special effects. Iron man however had a better plot.

I read somewhere that a unique line connecting two points does not exist in higher than 3D, is this correct?

So I've been playing with a little N-body code in 3D for gravitational problems and have made an OpenGL visualization to go along with it. I have been generating initial conditions (positions and velocities) using explicit formulas. I was wondering of anyone knew of any resources for getting...

Hi to all. I want your opinion about which software is the most suitable for rendering 3D graphics in order to include these as figures in manuscripts, papers etc. I have seen many papers such as in Nature Physics, Nature Photonics etc that some 3D figures are really awesome. Especially, i...

Hi, I have a mesh whose surface is made up of tesselating triangles. I would like to perform an integral over this surface of the form \int f(\Omega) R(\Omega) d\Omega Where f is an arbitrary function and R is the radius at that point. I have a method implemented but it is not working...

Hi everyone! I would like to discuss the pros/cons and engineering challenges one would face in order to create a 3D printer capable of printing in metal. I have created an open source initiative (linked to below) that deals with this subject, there is quite a bit of information I have...

Hi all, I have a simple question about 3D plotting. Consider this simple loop, which provides y and O for any x. and I am able to plot y vs O for given x. for Omega=0:.01:5 y(i)=(x*Omega^2); O(i)=Omega; i=i+1; end now consider I want to change the value of x, for x=0:.1:3...

Forces F1 =j + 3k, F2 = j + k and F3 = 2i + j act at the point (0; 1;2), (1;0;3) and (1;1;0) respectively. (a) Find the total force and the total moment about the origin. (b) Find an equivalent system of forces consisting of a single force acting at the (1;0;0) together with a couple.Ok so for...

Homework Statement The three dimensional wave equation: c∂^{2}u/∂t^2 = ∇^2 u boundary conditions : u(x,y,z,t) = F(x,y,z,t) on S initial conditions: u(x,y,z,0) = G(x,y,z) ∂u/∂t(x,y,z,0)=H(x,y,z) Homework Equations how to prove the uniqueness solution of the above equation...

I'm trying to figure out how to do a Lissajous Curve in 3d. It has a 2d shape in the real world, so if it's in the real world, then there must be a 3d shape to it. Here is the crazy version, it has 8 variants of the last pic layered and it's at 45 45 0 This is the one above and it is at...

Homework Statement See attachment Homework Equations Let u be the angle between AC and AO and v the angle between BE and BD. Ta is the tension at point A and Tb is the tension at point B. The Attempt at a Solution Tried starting with the OAB body and got: -mg + Ta sin(u) + Tb...

Hi everyone, I'm trying to understand circumstellar disks. One term that keeps cropping up in this context is "surface density". The disks, though flattened, are still three-dimensional, so I'm confused about what "surface density" actually means. I can think of a couple of possibilities...

Homework Statement The volume shown lies above a square in the (x, y) plane having corners (4, 1), (5, 1), (5, 2), and (4, 2). The remaining two surfaces are planes defined by z1 = 2x + 4y + 7 and z2 = 3x + 6y + 8. The density of this object is 880.y. Determine a) the volume of this object...

Hi experts, I wonder anyone of you have an idea on whether we can include a discrete component (specifically a capacitor) into an "Ansoft Maxwell 3D" eddy current design. Little more description: I do have a specific eddy current design with a coils. I need to add a series capacitor and...

Homework Statement Find the energies of the second, third, fourth, and fifth levels for the three-dimensional cubical box. Which are degenerate? Homework Equations E = h^2/8mL^2 (n^2 sub x + n^2 sub y + n^2 sub z) The Attempt at a Solution The levels would be degenerate if one of...

I'm trying to find the energies for n levels of a 3D cubical box. Is there a general equation for this?

When I was about 25 I noticed that a 2D photo appeared 3D when looked at through a magnifying glass. First I thought it depended on the lens, but then realized it was because I looked at the picture by just one eye - exactly as the camera lens had seen it in reality. I.e. there is much 3D...

So say I have an arbitrary function and I want to know it's limit as x,y approaches 0. I could test what happens when the x-axis approaches 0, y-axis as it approaches 0 but there are some functions where I'm told that I also need to test what happens when y=mx approaches 0, and then y=x^2 and...

Is this anywhere near correct, I have too many marks for this & it seems too easy for what I've put. What have I missed? Have I? Homework Statement An F-centre can be thought of as e- trapped in an infinite 3D well. Calculate λ of emitted e.m. radiation when transitioning from E3 to lowest...

Does anyone know of a good online 3d calculator that will actually work. Thanks.

Homework Statement The vertices of a figure are given by A(-8, 4, -2), B(-6, 3, 5), and C(-10, 5, -9). What type of figure is ABC? Why?Homework Equations pythagorean theorem: |AB|=√(x^2+y^2+z^2)The Attempt at a Solution I first found the vector AB, BC, and CA by subtracting the components of...

I am dealing with a set of data where I have values C(x,t) for a discrete set of x and t values. Say: x={1,5} t={1,3,7} C={{C(1,1),C(1,3),C(1,7)},{C(5,1),C(5,3),C(5,7)}}. How do I combine this to a list that looks like...

Hey guys, I'm new to these forums so I am unsure if this is the right place to be posting this, but here it goes. I have been working on a drag spread sheet using OpenOffice Calc to predict where a potato will land when fired from a potato gun. I have gotten pretty far along, using...

Homework Statement Find the limit as X, and Y both approach 0 of (X2Y)/(X2 + Y4) Homework Equations The equation from above. The Attempt at a Solution I have been doing the technique of approaching from different lines such as y = x, or x = y, x = 0, and y = 0. All of them give...

Hello I have some question that i confused to know them 1-what is difference between Vector and Line in 3D and 2D? 2-how can find the vertical vector on a surface or line? 3-how can find the angle between two vector or line only with their size?( i do it with Inner Product equation but...

Homework Statement Plot the following point: B(-2,3,5) The Attempt at a Solution If I were to plot (-2,3,5), when I make my first movement of -2, it does not move anywhere on the y-axis correct and when I am moving on my Y axis, There is no movement in the z axis?

Is it possible for a surface to be obtained as the solution for a system of differential equations in a 3d phase space? Almost all 3d phase plots I have observed are curves,example the Lorenz system. Is there a general formula that says that a system of n differential equations would...

Homework Help! 3D vectors problem solving! Homework Statement the vector v=(1,√2,c) makes an angle of 60° with the positive z-axis. Determine the angles that v makes with the positive x-axis and the positive y-axis. Explain how many answers there are. Homework Equations dot product...

3D printers are receiving a lot of attention in the news these days, because they are seen to be a potential disruptive technology. However, most devices of this type are very limited in the materials they can work with, mainly fabricating models in plastics like PLA or ABS. Advanced high-end...

Homework Statement The threading die is screwed onto the end of the fixed pipe, which is bent through an angle of 20º. Replace the two forces by an equivalent force at O and a couple M. Find M and calculate the magnitude M' of the moment which tends to screw the pipe into the fixed block about...

i would like to know if the 'angle' between let's say the walls of a room (ie. the intersection of 3 planes all perpendicular to each other) can be represented in mathematical terms, but as a kind of 3D angle- that is to say not as a combination of 2D angles but as an altogether new form of...

I am utilitizing rotation vectors (or SORA rotations if you care to call them that) as a means of splitting 3D rotations into three scalar orthogonal variables which are impervious to gimbal lock. (see SO(3)) These variables are exposed to a least-squares optimization algorithm which...

A room measures 4 m in the x direction, 5 m in the y direction , and 3 m in the z direction. A lizard crawls along the walls from one corner of the room to the diametrically opposite corner. If the starting point is the origin of coordinates, what is the displacement vector in terms of unit...

Homework Statement A block of weight 50N is hung by 3 cables from the ceiling. Each rope ZA, ZB, ZC converges at Z so that they form a tetrahedron. (ZA=ZB=ZC=AB=BC=CA). Find the magnitude of the tension of each cable. a=0 tetrahedron symmetryHomework Equations F=mgThe Attempt at a Solution I...

Hello Everyone I'm currently working on a unstructured quadrilateral mesh for a discontinuous galerkin free surface flow model. I use the half-edge data structure in the two dimensional code. Does something like a half-edge or "half-face" three dimensional data structure exist. Otherwise...

Hi everyone, I'm working on a project where I need to produce a 3D plot for matrix using Matlab. The plot must comprise of both alpha and beta in 3D. Alpha, A is a 320 x 333 x 4 matrix, where each individual layer (i.e. A(320,333,i) for i = 1:4) represents one image's angles. The beta matrix...

Hi all, I've written code that takes J2000 equatorial coordinates for 2 objects and calculates (1) the projected separation of between object 1 and object 2 at the distance of object 1, and the Euclidean (3D) distance between objects 1 and 2. The projected separations should be <= the Euclidean...

Hi everybody, first time poster here. I am working on calculating the force of magnets in a 3 dimensional space. I have found a formula for the magnetic flux density at a distance z from the magnet face at this link http://www.magneticsolutions.com.au/magnet-formula.html, under Flux density at...

Alright, so, I am writing an aimbot for a popular game, and I need a bit of help with calculating the correct pitch angle for the player. The weapon is a bow, so the arrows are affected by gravity. I am trying to find the pitch angle that accounts for gravity and distance from the Entity you are...

Homework Statement Hi. See attached, I need to determine the forces in all members. Homework Equations Sum of forces in X, Y & Z all equal 0. Sum of moments in X, Y & Z all equal 0. The Attempt at a Solution I've drawn the reactions at each support, A, B and C in my 2nd attached...

Hello! I am having an issue with getting any graphs on inductance or induced voltage. In the attached circuit: What I have is a 28Vac source w/ 400hz and 2 coils (R=18.6ohm each) that are connected with a common. In the model: I have a core in the center that will be able to move up...

Homework Statement The temperature ##T## in a region of Cartesian ##(x,y,z)-## space is given by $$T(x,y,z) = (4 + 3x^2 + 2y^2 + z^2)^{10},$$ and a fly is intially at the point ##(-5,6,7)##. Find a vector parametric representation for the curve which the fly should move in order to ensure...