I am searching for a site that enables me to plot a function of multiple variables in 3D form. Say f(x1,x2,x3,x4) and I wish to plot this function as a 3D graph for x1 and x2 where x3 and x4 are kept constant.
Homework Statement
Bead B has negligible weight and slides without friction on rigid fixed bar AC. An elastic cord BD has spring constant k = 3 N∕mm and 20 mm unstretched length, and bead B has a force of magnitude P in direction BC. If bead B is positioned halfway between points A and C...
I've forgotten a lot of field theory so I've been rereading it in a couple of electric field theory textbooks. What seems like a simple problem falls between the cracks. I hope some readers can help - it will be appreciated.
My application seems simple (solution will require numerical FEA but...
Homework Statement
The problem asked me to derive an expression for the stationary wave function of the 3d harmonic oscillator which I have done. It then tells me a particle is in the stationary state $$\psi_{n_x,n_y,n_z}(x,y,z)=\psi_{100}(x,y,z)$$
and to express this in spherical coordinates...
I'm attempting to create a velocity profile for M31. I have a Sersic profile from a paper by Sofue et al (2009), but I'm unable to project it into 3D space in order to get the actual 3D density that I'd use to calculate the velocity at a given radius. Here's the formula from a 2008 paper by...
Hi!
is there anyway to calculate inertia in 3d?
for all forms, like we do in 2d, is it the same?
https://upload.wikimedia.org/math/d/d/3/dd3b5877d05c86142f03703ac1c6562b.png
Apologies up front for the long question … I have tried to be brief.
I want to define camera angles for Google Earth (GE) when rotated about an aircraft yaw axis. The input is Latitude, Longitude, Altitude plus Heading, Pitch and Bank angles, actually coming from Flight Simulator. These drive...
I know that slope in 2D = $$\frac{\Delta{y}}{\Delta{x}}$$.
But what about 3D slope?
I mean for every line in 3D there are 3 2D slopes. Those are:
$$\frac{\Delta{y}}{\Delta{x}}$$ $$\frac{\Delta{y}}{\Delta {z}}$$ and $$\frac{\Delta{z}}{\Delta{x}}$$
But how do you combine those 3 slopes to form...
Hi,
I'm working on a project to illustrate the isometries of a tetrahedron and would like to be able to add a curved arrow around the black axis of rotation in the Manipulate display to indicate which way the solid is rotating depending if the angle is negative or positive. Here's a display of...
I've recently created a 3D motion generator (Anti-Gravity Transportation (AGT)) in 2D/3D design. unfortunately my current physics knowledge is not advanced enough to take this machine to its maxium potential. i can concieve perpultion and sustainable energy coming from this idea. my question...
Good day,
I am trying to calculate the stress along the yy-direction for a 3D object compressed in the zz direction (perpendicular to it). The width of the object (in the yy direction) is constant, and the object can only deform along the xx direction. All stresses except for sigma_zz (known)...
The question is as follows:
An object of mass m=1 follows the trajectory:
r(t) = 4 ln(t) i + 6t1/2 j + 2t k
Calculate the force acting on the object and hence find work done between t=1 and t=2.
I know that Force = Mass * Acceleration
Therefore, F(t) = 1 * a(t)
I also know that a(t) =...
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...
Hello everybody,I am busy with a magnetic transient 3D model and quite new in the use of Maxwell.
I am simulating a 6 pulse rectifier in double star connection (connection number 5 as per IEC 146-1-1). Each of the 6 arms of rectifier foresee 8 paralleled diodes.
I am interested to see the...
Let's say I have point A(2, 6, 0) and B(3, -1, -2) and wanted to find the gradient of the vector joining these two points. I know how to find the vector representing the line joining these points:
OA = 2i + 6j , OB = 3i - j - 2k
AB = AO + OB
AB = -OA + OB
AB = -(2i + 6j) + 3i - j - 2k
AB = -2i...
Homework Statement
I am using the 3D implementation of Hooke's law as found in wikipedia at: https://en.wikipedia.org/wiki/Hooke%27s_law
I need to find the actual source to cite it in a master's project software write up. Many professors do not consider wikipedia to be an acceptable source...
Dear All:
I'm trying to use fluctuation dissipation theorem to describe spontaneous photon emission process by electron-hole recombination in semiconductor material.
I notice that all the references using such a method considers the dipole's degree of freedom separately, for example in x, y, z...
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...
Homework Statement
The vertical and horizontal poles at the traffic-light assembly are erected first. Determine the additional force and moment reactions at the base O caused by the addition of the three 100-lb traffic signals B, C, and D. Report your answers as a force magnitude and a moment...
I am very curious about holograms and if there is a possible way to project 3D , mid-air images and videos on air with no holographic screen (The Princess Leia hologram in Star Wars). If it is not possible, how long till they actually start arriving to the world and how will they work/operate?
If we have a cube full of water and glass walls, with an external environmental temperature of 20 degrees celsius, what is the power required to maintain an internal temperature of 25 degrees celsius?
Assume sides are 50cm.
I don't know what to do, I was trying out the P = (kA/L)(Tf-Ti)...
Hello,
I'm running a galaxy formation simulation. The output specifies the coordinates in (x, y, z) of all the particles in a galaxy, which usually fall in a disk. The orientation of the disk depends on the initial conditions, but it is generally not aligned with any of the coordinate axes...
Hello community, this is my first post and i start with a question about the famous dirac delta function.
I have some question of the use and application of the dirac delta function.
My first question is:
Using Dirac delta functions in the appropriate coordinates, express the following charge...
Hello all,
I am anew user for Ansoft Maxwell, I am doing simulation for tubular machine in 3D, I have problem with band assignment, when I run the analysis there is a massage error after the mesh, which said
[error] Error in mesh mapping on band, please check the potential problem in band...
Homework Statement
The problem is to model a permanent magnet with a torus core .I just wanted to know how to attach attribute of magnet to a volume in ansys 15.0. I solved the problem in 2D but in 3D the results are not satisfactory and I'm not able to point out the mistake by me. the...
When we obtain the velocity vector for position vector (r, θ, φ)
Why do we take the time derivative of the radial part in the 3D Spherical Coordinate system only?
Don't we need to consider the polar angle and azimuthal angle part like (dr/dt, dθ/dt, dφ/dt)?
Suppose we have a 3D potential box having different length. Now suddenly we double the length of a particular side(Say along X direction) of the box. Can we calculate what will be the eigen function of the Hamiltonian. Is there Time Independent S.E. holds?
The tangential velocity of a body rotating about the centre point "O" is given by v=w.r, where w is angular velocity and r = radius. give that the vectors
w = 3i - 2j + 7k
r = 2i + 5j - 3k
a) Calculate the magnitude of velocity
b) the vector product in the form i+j+k
So far I have the vector...
Homework Statement
An OAB pipe is embedded in O. A cable BC = 1000N and F = ( 0,-f , 0) act on B.
Question:
Determine the magnitude of the force F as the resultant moment about the axis OA is canceled.
Picture in attachment:
Homework EquationsThe Attempt at a Solution
O=(0 0 0)
A=(1.5 0 0)...
Why if I create a Plot 3D using mathematica 8 the graph is not showed complete unless I hold the graph clicked with the mouse. I'm using Ubuntu 14.04 a weird fact is that in the same computer I have Windows 8 and If I run the program with Windows the graph is shown perfectly. May this question...
Homework Statement
metal piece = 300N
As this metal piece is in balance, what is the tension in each cable?
Picture of the problem in attachment.
Homework EquationsThe Attempt at a SolutionW = 300*[0 0 1]
D to A:
vtda = tda [sin(37), sin(37)*sin(90), -cos(37)]
D to B:
vtdb = tdb...
Homework Statement
How would I find the equation of a line which passes through A(x1, y1, z1) and is perpendicular to A(x1, y1, z1) B(x2, y2, z2), C(x3, y3, z3)
Homework Equations
Cartesian form of a line in \mathbb{R}^3
The Attempt at a Solution
Not sure if this is right but would finding...
Hello everyone! I have a thesis about electromagnetic retarders. I need to do torque analysis for retarder; but I don't know how to do it on Maxwell 3D. I've tried Eddy Current solition; but analysis results didn't comply to electromagnetic retarder's torque charasteristic. Could anyone help me...
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...
Usually in textbooks Ampere's law is just illustrated using 2D loops which forms a plane. Can the law be applied to 3D loops which cannot form a plane surface within the loop?
In a 3D loop which surface should we count when we count the current? In 2D case it is easy because there can only be a...
Hello,
What shape has the lowest drag coefficient at ground level and at subsonic speeds (0-150kph) with the following dimensions?
Width 60cm (at 45%)
Height 120cm (at 45%)
Length 220cm
These dimensions will fit my motorcycle (not too narrow and not too long).
I am thinking it would be a...
: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...
Is there an equation for say a line segment in 3D Cartesian Coordinates that is between these two points?
Point One: x=0, y=0, z=0
Point Two: x=5, y=5, z=5
Does it involve inequalities?
The fundamental question, what is the reference geometry where images can be fused to form a 3D panorama? In other words, how images are assigned a 3D position? Does it require a gyroscope to be built in camera to define its position per image of the interest? Or just it simply fuses images with...
Hey all, I need to know when two triangles intersect in a 3D environment, given the 3 points. Any help apreciate have been stuck on this for a long time,
With all the hype of 3D printed organs lately, I've wondered: let's say that someone with terminal cancer in the liver undergoes a liver transplant with a completely new 3D printed organ. Assuming that this was the only organ affected, would this rid them of the cancer? If so, why? And if not...
For a research project, I have to take multiple derivatives of a Yukawa potential, e.g.
## \partial_i \partial_j ( \frac{e^{-m r}}{r} ) ##
or another example is
## \partial_i \partial_j \partial_k \partial_\ell ( e^{-mr} ) ##
I know that, at least in the first example above, there will be a...
Homework Statement
Homework EquationsThe Attempt at a Solution
a)
for ##0 \le x,y,z \le a##, the potential is zero. Therefore, the 3d schrödinger equation is
$$ - \frac {\hbar^{2}}{2m} \nabla^{2} \psi = E \psi $$
Is it okay to write 3 equations
$$ - \frac {\hbar^{2}}{2m} \frac {\partial^{2}...
Hi all,
Having some trouble getting the final answer on the question below, the fact that the cube doesn't have a force in the x direction is throwing me off. Once I fine the force(??) in the x-direction, I can just use the generalized Hooke's law to obtain strain? Any help is appreciated...