Homework Statement
Find the coordinates of those points on the lines (x+1)/2 = (y+2)/2 = (z-3)/6 which is at a distance of 3 units from the point (1,-2,3)
2. Relevant methods
1) assume a point, use distance formula- (very calculative)
2) write vector equation of line, find foot of...
Homework Statement
Suppose a line is given, say (x-3)=(y-2)=z in Cartesian form and we are supposed to find a point on it which is at a distance say, 6 units from a given arbitrary point (1,2,3).
2. Relevant tedious methods
1) write line in vector form then equate modulus of vector between...
I am taking a high school multivariable calculus class and we have an end-of-semester project where we trace out some letters etc., except that they all have to be connected, continuous and differentiable everywhere. My group's chosen to do Euler's formula, but so far we are having problems...
Hi All.
I'm new here so I hope you will bear with me and please tell me if this is out of context or in the wrong part of the forum.
I am trying to programm a falling pipe system with corners in ArchiCAD (GDL).
I have been programming in different languages for a while now, but new to 3D vector...
I'm just getting into 3D quantum mechanics in my class, as in the hydrogen atom, particle in a box etc.
But we have already been thoroughly acquainted with 1D systems, spin-1/2, dirac notation, etc.
I am trying to understand some of the subtleties of moving to 3D. In particular, for any...
Homework Statement
Solve the following vector equation for ##\vec{y}##. ##\vec{a}##, and ##\vec{b}## are linearly independent vectors of the three dimensional space.
##\vec{a} \times (8\vec{y}+\vec{b}) = \vec{b}\times(-5\vec{y}+\vec{a})##
Homework EquationsThe Attempt at a Solution
First I...
Hi
I am trying to learn how to manipulate 3D files like obj or stl using programming (I primarily use Python, but also know Javascript). Which resources can I use to learn this?
I just thought about whether it is possible, or already exists, a method to construct a 3D optical scene using the method of backprojection.
First, I will capture the scene (say a castle) from different views using HD camera. Then using one of the app to stitch the 2D images into a cloud of...
Homework Statement
Homework Equations
dV= integral(kdQ/dR)
The Attempt at a Solution
So, I'm familiar with these type of problems but in 2D (like a line of uniform charge).
When the y,z component is added, I'm kinda lost.
i know dQ = p*dV= p*dx*dy*dz. (atleast i think it is).
also the dR =...
Regge-theory succesfully explains the latest LHC ##pp## elastic scattering experimental results and total cross-sections:
https://arxiv.org/pdf/1711.03288
https://arxiv.org/abs/1808.08580
Three different Regge-trajectories are needed: one Reggeon, one (soft) Pomeron and one Odderon. The...
Homework Statement
Hi I am new here!,i want to thanks for all great information,
Today i try to make a lever works with my hot wheels start gate,it should be work like gate,when i push the lever down,the gate will going down but i can't make the gate open at the same time between the first...
I've plotted out the trajectory of an imaginary electron in 3D; next I represent it's points with the matrix A(x1 y1 z1) "throughout it's orbit":
( -1/2 -1 1
( -2 -1.5 2
(-1/2 2 3...
I have just simple Knowledge, but recently a question came To my mind.
An Entity Living in 2d Space cannot Directly Observe a sphere, but rather a Circle Changing its Size when a sphere is traversing trough the observable 2d plane.
Similar, a 4d sphere would Appear To us as 3d sphere Changing...
Hi PF!
Given a vector field ##\vec f## in spherical coordinates as a function of a single parameter ##s##, shown here as
$$\vec f(s) = f_r(s) \hat r + f_\theta(s) \hat \theta + f_\phi(s) \hat\phi$$
where here subscripts do not denote partial derivatives, but instead are used to define...
For the vector valud function F in the image, the three components of the output vector at a point are functions of (x,y,z)the three coordinates of the point.But while calculating divergence, why is the rate of change of x component of the output along x direction alone is accounted(similarly...
Is it possible that our 3D universe is just a shadow in 3D space of 4D or higher dimensional reality? And we are limited in our perception of it by our 3-dimensionality. In other words like Flatlanders would just see s square of a cube sitting on the plane or passing through the plane...
I'm looking for an easy way to get the surface area of an arbitrary shaped 3D object. Getting the volume is easy by water displacement. What about area? Any neat tricks? We know different shapes can have the same volume and thus different surface areas so it's not a trivial problem. The purpose...
Hello,
I come across a problem in programming and I do not find a lot of help on the internet, so I hope I can find an answer here. I have a 3D array representing a function, say f(i,j,k) and a basis function u(i,j,k). I would like to perform a general rotation of the basis function u so that I...
Hello,
I'm having a visualisation problem. I have a point in R3 that I want to rotate about the ##y##-axis anticlockwise (assuming a right-handed cartesian coordinate system.) I know that the change to the point's ##x## and ##z## coordinates can be described as follows:
$$z =...
I am new to these forums - if I have posted in the wrong place please let me know.
Standard 3D Gaussian bell: z = e^-(x^2) * e^-(y^2)
From along the z-axis this looks "round".
I would like a generalized f(x, y) which would look egg-shaped from above - possibly quite distorted..
I thought at...
Hello,
I am having trouble comprehending how grids are made and defined in computers. What is the unit that they use and how is it defined ? I know that softwares use standardized units of measure (measurement) such as centimetre. Basically, how is a 3-Dimensional Space created in computers...
Hi. I was trying to test a code for the diffusion equation, using the analytical solution for infinite media, with a Dirac delta source term:
##q(\mathbf{r},t)=\delta (\mathbf{r}) \delta (t)##.
The code is not giving the analytical solution, and there might be several reasons why this is so...
I have a question (more like a curiosity) related to three-dimensional topological insulators, which support Dirac-like states at their surfaces. From the theory, it is well known that these states are immune to scattering from non-magnetic impurities, i.e. impurities that do not break...
Hi, I need a simple way to measure the maximum angle/vertical displacement of a 3D pendulum (weight hanging from a rope) undergoing random impacts. What will work?
Homework Statement
A complex or irregular body with some mass, m. How to determine the 3 co-ordinates of centre of gravity?
Homework Equations
Moment method with ∑M = 0.
The Attempt at a Solution
Say I have a gearbox and I need to find the COG. I can mount the gearbox at two longitudinal...
Hello, I'm trying to calculate Christoffel symbols on 2D surface of 3D sphere, the metric tensor is gij = diag {1/(1 − k*r2), r2}, where k is the curvature. I derived it using the formula for symbols of second kind, but I think I've made mistake somewhere. Then I would like to know which of the...
So I printed this antenna with some conductive filament , however the microwaves seems to be going between the layers of the plastic. I surrounded it with Aluminum and still leaking, what can I do to fix it? Can conductive silver paint work?
Hi there. I wanted to plot a surface, given implicitly by a function ##f(x,y,z)=c##, with ##c## a constant. My ##f(x,y,z)## is obtained numerically, so I don't know the expression explicitly, I have the values of ##f(x_i,y_j,z_k)## for given integer numbers ##(i,j,k)##, ##i=1,2,3...## same for...
Light is Reflected from the surface of the object or pass through it(interior) and then the light is reflected ?
Sorry for my "noob" question i am a 3D designer just looking for some more knowledge
Thanks in advance
Hi guys,
I have a webGL application and my understanding is there is no option or at least the option to make thick lines is not working so I thought I would try to write my own routine. I suppose I could just make a double plot of the data just off-set a bit but I'm not exactly sure how to do...
3D Subsurface Laser Engraving works for clear glasses like Schott BK7 and B9 Borosilicate Glass.
How does one do the same for relatively translucent minerals?
I have read research papers on using lasers for tattoo removal and cancer radiation therapy.
However, I want to know how the laser's...
Homework Statement
Homework EquationsThe Attempt at a Solution
[/B]
I am having trouble visualizing the 30 degree angle? How would i know that it is in between 2 planes and not just 1 plane. I thought it would be in the x/y plane. In cases like this where they should you the angle (arrow) to...
Homework Statement
Homework EquationsThe Attempt at a Solution
rxF
I'm trying to find the moment of the 50lb about the x,y,z axes. So, i did the vector from the origin to the top of the larger wheel crossproduct with the force vector of 50.
Thus, Vector Origin to Wheel x F vector = (0.2i...
Homework Statement
Homework EquationsThe Attempt at a Solution
I am having a bit of trouble visualizing the vectors for these type of problems. The angles they give are very ambiguous and so I am not sure why they are there. For the 45 degree angle, how do i know that this is used for finding...
Specialized 3D printers can now produce small optical elements:
Described here.
There is also a company that makes light shaping diffusers (for lamps) that control the light by controlling the interference patterns of the light due to microscopic structures on the surface of the diffuser film...
I figured this would be the best place to ask as there doesn't seem to be a FEM/Simulation specific sub-forum here, but I am looking for some help regarding mesh generation in ANSYS Maxwell. I have an array of "micro-needles" that I am applying a voltage to in order to determine the electric...
In plane geometry it is impossible to construct a line equal to the (cube root of 2) times the length of
a side of a cube, making it impossible to double a cube with a compass and straight edge. Maybe plane geometry needs one more dimension.
What happens if we extend the geometry to 3D(solid...
Homework Statement
[/B]
I am having a problem understanding a calculation performed as part of a bigger solution in the design of Slabs.
That is, how to determine the centroid of the critical shear section, which consist of 3 planes intersecting to form a 3D model (please see attached...
In trying to explain the concept of curved space, many books use the example of the surface of a sphere, which can be considered as a curved 2D space embedded in a higher dimensional, 3D space. I could derive, starting from ##a^2=x^2+y^2+z^2##, that the metric, or the line element, on the...
In a holographic universe model, could our 3D universe be encoded in 3D and still be a holographic universe, instead of 3D information encoded in 2D space? Or is the standard model (non-holographic) of the universe already 3d information encoded into 3d space...
Here is another work-in-progress 3D model that I made using blender.
It's the lower half of Metal Gear REX from the 1998 video game Metal Gear Solid.
https://imgur.com/a/I9zUg
I can't wait to post screenshots of the finished version of it!
I've been a fan of M.C. Escher's art for a long time, and ever since I got into doing 3D rendering, I have done various attempts at doing reproductions of some of his pieces to varying degrees of success. One of the problems I had was doing realistic looking human figures. I recently came...
Homework Statement
-4.882L1+M1+2N1=0
L1-2.882M1=0
2L1-0.882N1=0
L1^2+M1^2+N1^2=1
How to solve for L1 ,M1 and N1 ?
0<L1,M1,N1<1Homework EquationsThe Attempt at a Solution
This is the very first thing that I made using the 3D modeling program Blender after watching a handful of hours worth of video tutorials on youtube.
https://imgur.com/gallery/b8BwM