Shape Definition and 613 Threads

Homework Statement suppose u(x,y) satisfies the partial differential equation: -4y\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=0 Find the characteristic curves for this equation and name the shape they form The Attempt at a Solution \frac{dy}{dt}=1 \Longrightarrow y=t+y_0...

Homework Statement Four charged particles are at the corners of a square of side a as shown in the figure below. (Let A = 3, B = 5 and C = 6.) (a) Determine the electric field at the location of charge q. (Use the following as necessary: q, a, and ke.) (b) Determine the total...

As a high schooler, what I can deduce from Planck's distribution's bell shape is that the majority of the atoms of a body above 0k possesses a certain K.E which is the average K.E which leads to the presence of a peak point in the distribution. While the minority posses higher or lower K.E...

In wolframpage there is follows definition for shape operator in a given point by vector v: I think that this equation means: S(\vec{v})=-\frac{d\hat{n}}{d \vec{v}} correct, or not? If yes, of according with the matrix calculus...

http://sploid.gizmodo.com/amazing-scientists-make-things-fly-around-in-space-usi-1492880964 I wanted to ask is there a specific reason for the completely horizontal X shape of the levitated particles. If we already have such precise control over the standing waves, couldn't it be possible...

Someone told me that scientists have made observations which point to the universe being flat within a 0,4% margin of error. I had major doubts, never having heard of this observation. I have always imagined it to be spherical, seems odd that it would be asymmetric.

Can someone link a website or attach a picture of a chart distinguishing the differences between the stress risers in a shear pin (round circular shaft) with a V-notch groove versus if it was a rounded groove. I have been looking but can only find charts, tables and graphs for round circular...

Please excuse my ignorance on the topic but I just thought of something which seems to make sense to me but then again I have no experience in cosmology. Just some points I want to clarify. Because the universe had a starting point, can it's size be infinite? If so could the universe be a...

Hi all, I'm trying to do something that might be impossible, but seems to me should have a solution: Finding the height (or displacement) of a long, thin rod or wire under horizontal compression forces at the ends (pinned, not clamped) causing it to bend into a stable arch-like shape given...

"Hearing a drum's shape" as approach to quantum gravity (Kempf) Achim Kempf and his students have coded an ITERATIVE procedure for finding the shape that when struck has a given sound spectrum. He shows brief movie clips of the computer finding the correct shape by successive approximations, as...

Could someone confirm if my method here is correct and if not maybe a few tips :) I have an L shape constructed of three "boxes" of side length a what is the centre of mass?I know that CoM= the sum of moments (m*a)/ the sum of masses So if I split the L into two parts, one box and two boxes...

What is the geometrical shape called, when combining 3 ellipses together, such that each two share one focal point and together form a kind of 60 degree triangular shape? It will look similar to Reuleaux triangle, but it is not formed out of a triangle, but 3 ellipses, as if you are gluing...

Homework Statement I'm an engineering student, and my professor of the mechanics course gave a homework to my class last week, we were intended to calculate the real shape of the Earth (as an ellipsoid) by taking the centrifugal force in account, using the equation a' = a -wX(wXr). For that...

Dear all, I would like to estimate the inductance of a rather arbitrarily shaped coil composed of multiple single loops. For example, I am wondering about the inductance of sandglass like coil which has many turns at the edge and less in the middle. The inductance of a single loop seems to...

Hello, I am having difficulty solving for the Area and wondering if this is correct.

what can the shape of universe be? is it sphere or cube or some bubble like shape?

With a double slit measurement a single photon is a wave which goes throught both slits. To extinguish each other at certain places the wave must have the same amplitude at both slits, also at large distance between the slit. The positions also extinguish with 0.5, 1,5, ... periode difference...

]1. Homework Statement [/b] Homework Equations The Attempt at a Solution On paper it looks like not much of an attempt has been made, but I have tried a few different ways to find I_y. I thought to take the entire rectangle and subtract the parts on the upper left and right...

Planck CMBR data http://scienceforseniorcitizens.com/wp-content/uploads/2013/03/cosmic-microwave-radiation-google-earth-background1.jpg COBE, WMAP, Planck compared to each other http://www.scidacreview.org/0704/images/cmb07.jpg Methinks the distribution of the CMBR intensity as seen from...

Plot a deformed shape given the displacements Preliminary statement: This class has a different convention. Instead of writing x and y, ##x_1## and ##x_2## are the variables in their respective orthogonal directions. I need to plot how shapes deform, so I am given an equation for the...

Forgive me if this is posted in the wrong section, but it relates to the compact heavies of the universe. Generally, we seem to have the classical idea of what an atom 'looks' like in our minds, a small a spherical body joined with other small spherical bodies which make up the different...

How do I find the volume of this shape? The bottom is a square in the xy plane where \(0\leq x,y\leq 1\). The object isn't a prism or pyramid so I am not sure what to do.

Identify "explicit shape spec list" in the FORTRAN code Hi, I'm trying to do some source code analysis using the ROSE compiler infrastructure on some of the kernels in NAS Parallel benchmark. I get an error while parsing the Embarrassingly Parallel kernel. Digging further, I gathered that...

So I know the shape but I forgot what its called. This is what it looks like but what is it called :L, I can't remember. http://antonine-education.co.uk/Image_library/GCSE/Newton_II.GIF

I have generated the graph shown below and now would like to describe it at a high-level according to the curved nature of the plotted line. Besides simply stating observations such as the exponential growth at approximately x = 0.19, is there a classification or term for the shape of the curve...

I am an aeronautical engineer and I am curious why do NE's design the reactor smokestacks to be shaped like elongated rocket nozzles? In general, the nozzle shape offers less drag and a cleaner exit of the flow upstream and downstream from the nozzle exit. In supersonic flow, the nozzle shape is...

I have a google spreadsheet with a display of numbers from a report that is ordered and the link below is the result of this data. It seems to me that there is a shape to the data that is showing. This shape seams to be constant over time having the same shape with a leading edge on the left...

I am interested in the math involved to calculate the ideal natural teardrop shape for a hot air balloon. I want to learn the details of what is involved to calculate this accurately. I read this https://www.physicsforums.com/showthread.php?t=658802 which was a really nice start, but it...

It ran in Science News after much calculation the idea shape for a column to resist buckling was solved. It is a slight barrel shape.

My friend was doing an analytical geometry problem and a shape appeared that I wanted to find the area of with my new knowledge of integrals. I found the area and I'm now working to find an equation for the nth area as the size of the shape changes for all integers. After doing the math I come...

If I have a charged wire and shape it into a spiral, is the electric field stronger?

how the planets get in spherical shape if the they are formed by a big explosion ?

What happens when radio waves of around 1900mhz (cell phone) is confined in an aluminum box. Will the waves be able to pass through the box to the outside. What would be the best way to get the waves to the outside of the box with only modifying the box. If i cut a hole would that improve how...

Hi guyss~ I need some help for one of my assignment about heat loss from a cone shape fin as we can see through the picture I've attached with this thread. Looking forward to all of your answers

Homework Statement Calculate mutual-inductance between straight line cable and square shape frame, as shown on picture. Homework Equations I am not sure which equation will be used here because as far as my knowledge goes , mutual inductance should be concerned with turns in...

I want to know what is the shape of a Black Hole? Is it round like a globe, or is it flat or oval shaped?

Why is is that certain materials -- like plastic, metal (assuming it doesn't rust), glass -- retain their shape when they get wet, and some materials -- like paper -- don't return to their original shape even after they become dry again? My knowledge of chemistry is pretty limited, but my...

Homework Statement Hi. I'm doing some practice problems to prepare for an upcoming exam, and I encountered this question: What is the shape of the electric potential around an isolated electric charge? a. Circular b. Square c. Oval d. No specific shape e. Triangle This is an odd...

can someone help me - i am new to forum. i do not have a physics background - medical doctor. i have been looking on the net to answer a simple question - what is the accepted shape of the known universe? if the big bang is correct, then is it accepted that the universe is basically is the...

Hello how can Convert Cartesian coordinates to spherical with shape? for clear my question i explain a way to convert my coordinates in different spherical. for example i use this diagram to convert Cartesian coordinates to Cylindrical(with image to axises) for example: now how can i do...

Homework Statement The diagram shows two pulses, each of length , traveling toward each other at equal speed in a rope Which diagram below best represent sthe shape ofthe rope when both pulses are in region AB? Homework Equations The Attempt at a Solution The answer is the...

A friend of mine is working with shape memory alloys and he's got one that is behaving strangely. At "low" temperatures a "fresh" solution heat treated sample will form martensite upon cooling, and austenite upon heating as expected. Heat and cool all you want and you get the transformation...

Hi folks, I'm very new to your impressive forums but just know I've come to the right place for all the pesky questions I need answers to. For starters - Does the shape\form of a stator slot in a mono-phase, squirrel cage, A\C motor really make a difference? I believe some shapes offer...

Why does H2Se have a bent shape? It has 6 valence electrons. 2 are used to bond with each of the hydrogens. 2 more up and 2 more down. So the repulsion of the lone pairs cancel off each other. Isn't this arrangement going to make the bond angle 180°?

What formula would you use to calculate the area (excluding the base)? What formula would you use to calculate the volume? What would its longest side be?

While I was doing exercises about this, I noticed that, for example f(x,y)=e^{x^2+y^2} was very similar to f(x,y)=x^2+y^2 And something similar with: f(x,y)=e^{(1-x^2-y^2)^{(1/2)}} and f(x,y)=(1-x^2-y^2)^{(1/2)} So I supposed that some transformations that preserves some properties kinda...

How certainly is the universe flat? Is is absolutely approved or not? If yes, what will cause the big crunch?

Fig 1 : the blue volume has a lot of very small spherical balls in it. Balls are under pressure from external system (weight or other), the potential energy is always the same because the blue volume is constant. When I move the blue volume from position 1 to position 2, I can understand that...

I have heard people say there is no center to the expansion of the universe. I have also heard the expansion described as an ever expanding balloon with all galaxies as dots on the surface. These to statements seem contradictorily to me. If the expansion of the universe was like the above...

If instead of a disc shaped end I have a conical end , would there be any change in the measured magnetic field strength at the end of the solenoid keeping current, core and number of turns per unit length constant ?