Plane Definition and 1000 Threads

Hello question is: As you see when we do del operator on A vector filed in below example it removes exponential form at the end.why does it remove exponential form finally?

Homework Statement Consider a large plane wall with thickness L whose thermal conductivity varies in a specified temperature range as k(T) = k_{0}(1 + \beta T) where ##k_{0}## and ##\beta## are two specified constants. The wall surface at ##x=0## is maintained at a constant temperature of...

When you have energy going through a plane wall, I know that the heat flow rate should be constant, meaning what comes in should go out. But is this true even if it is transient, and a non-steady state process? I think the energy content of the plane will not change for steady state, but for...

This question seems to come up often, but I cannot find a satisfying explanation. There is a point charge +Q some distance above an infinite conducting plane. Supposedly, the electric field below the plane must be zero. I have trouble understanding why this is true. The total charge on the...

Homework Statement Find an equation of the set of all points equidistant from the points A(-1,5,3) and B(6,2,-2). Describe the set. Homework Equations ##|A_2 B_1|/2## = ## \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}/2 ## This would be the distance to the midpoint along the line connecting A and...

I'm trying to derive Feynman rules for massive vector boson and its antiparticle. It all boils down to plane wave expansion of the bosons which atm is a little bit confusing. Should I account for two different set of ladder operators (as in the case of complex KG or spinors, cf Peskin&Schröder...

Homework Statement Home work 3 Q1 Study the E field in free space and a source-free region, E= (a + b)exp(-jkx), where a and b are nonzero real constants, and in the x,y plane respectively. Does it satisfy Maxwell’s equations? If so, find the k and H fields . If not, explain why not...

to solve one dimensional uniform plane wave, why assumed E = F1(z-ct) + F2(z+ct) as a general solution of second order differential equation and in trigonometric form particular function assumed to be Ey =Sin B(z+mt).. Is there any other method like Laplace solution or something where i don't...

If one were to send two light beams around the equator east and west, would the Sagnac effect occur? I know Michelson-Gale-Pearson measured it, but in their experiment the two beams would each travel both directions in separate rectangles, so I wonder if the effect would be weaker/stronger. How...

Homework Statement This is the point: (6,0,-2) Homework Equations x = 4-2t y = 3+5t z = 7+4tThe Attempt at a Solution Do I just plug in the points and see if I get matching values of t? If not, how do I go about this?

Ok guys, I got this problem but I don't know how to solve it properly. The problem is about parabolic motion and it says: A plummeting bomber plane that makes an angle of 53° with the positive y-axis throws a bomb down with a height of 730 m. The bomb impacts the ground 5 s later. a) What was...

Homework Statement A block of mass m is held in place on a ramp of mass M with a slope of angle θ, which in turn is held in place as shown in the figure below. The ramp is free to move on the surface beneath it. There is no friction anywhere. The block and the ramp are then released. Derive an...

really need help on this I learned it but forgot how to do it. thanks if you reply with explanation

The extended plane (E2 U ∞) is a non-orientable surface, and yet topologically is a sphere which is orientable, can someone comment on how this is reconciled?

Homework Statement A plane makes a vertical loop like in the drawing. the speed is exactly what is needed that at the highest point the pilot won't feel any force nor from the seat and nor from the safety belts. 1) what is the weight of the pilot in comparison to the airplane? 2) what...

Why curvature of a plane curve is k = \frac{d\phi }{ds} ? I know that curvature of a plane is \frac{\left | r'(t) \times r''(t) \right |}{\left | r'(t) \right |^3} , and that led to this. k = \frac{\left | \frac{d^2s}{dt^2} \right |sin\phi }{\left | \frac{ds}{dt}\right |^2} But I can't go...

In a large passenger plane wings used to create lifting force. But in order to create lifting force, body of a plane could be used as well. In order to create as much as possible lifting force you need to have as much as possible difference between upper and down streams of air. In order to slow...

Just need someone to check if this is right. This question=frictionless, freefall, etc. We have an incline plane. Determine the amount of acceleration due to gravity both parallel and perpendicular to the incline. Would the answer be: parallel=9.8sinθ and perpendicular=9.8cosθ Okay...

Homework Statement A block with a mass of 1.137 kg is placed at the top of an inclined plane. The plane is d = 2.592 m long. The angle θ the plane makes with the horizontal can be adjusted, changing the height of the top of the plane. The lower half of the plane has a rough surface with...

Hi there. I've been looking around for a decent physical explanation of the differences in the phase relationships between acoustic pressure and particle velocity in different types of waves. Mathematical analyses abound, e.g...

Homework Statement r(t) is the position of a particle in the xy plane at time t. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at the given value of t. r(t)=(cos2t)i+(3sin2t)j, t=0 Homework Equations...

I'm trying to check my understanding of rotations in the complex plane. Do I have any of this wrong? If so, can you please explain why? 1) Rotations a) Say we start with a vector, Q, defined on the real number line as (5,0). If I multiply that vector by i, we now have a vector "iQ" that...

Homework Statement The problem is worded thus: You are on an airplane traveling 30° south of due west at 130 m/s with respect to the air. The air is moving with a speed 30 m/s with respect to the ground due north. (a) What is the speed of the plane with respect to the...

The problem comes up as part of a final master's project in FEM analysis. The project consists in calculating the oscillation response of the World Trade Center towers after the plane impacts. The particular problem I'm having trouble is that I need to transform the plane impact of which mass...

Good day, I am starting to design a new cargo RC plane and I end with this trouble. I want to select a motor but I do not know the required trust. Is there any equation or steps that I can apply to decide the motor?? Thanks!

Homework Statement For the vectors in a Triangle, with a = 16, b = 12, and c = 20 what are (a) the magnitude and (b) the direction of A x B (c) the magnitude and (d) the direction of A x C (e) the magnitude and (f) the direction B x C this is Vector Multiplication. Homework Equations...

Plane wave equation: $$\psi(t) = \psi_0e^{i(\vec{k}\cdot\vec{r}-\omega t)}$$ The part that makes the domain of \psi(t_i) a plane is the k dot r part. I'm reading a book that takes this term and imposes the following condition: $$\vec{k}\cdot\vec{r}=Const.$$ which, i understand its...

So I've been playing some Kerbal Space Program, and it's taught me a couple things. Primarily, that circularizing an orbit (bringing its eccentricity down to near 0) is a matter of extremely precise engineering, and that matching planes with another satellite's orbit is also extremely...

Hello, I noticed quite a few questions on the Hafele-Keating experiment here, but I believe none that have my exact question. I understand the explanation given for "a frame of reference at rest with respect to the center of the earth", as in the Wikipedia article. But what happens if...

if a ball of mass m were to strike an fixed incined plane of 45degress with velocity of 3m/s, and was rebounded horizontally, what would be the velocity of the rebounded ball.(elastic collision). this the method i have tried. momentum of the system along the x-axis is conserved.therefore...

My background is electrical engineering, but I have a question regarding the mechanics and physics regarding plane propellers. The purpose of a plane propeller is meant to provide thrust to the plane. Similar to a plane wing, the propeller generates lift but does so in a direction that is...

Homework Statement A light plane must reach a speed of 33m/s for takeoff. How long a runway is needed if the (constant) acceleration is 3.0m/s^2.Homework Equations v^2=2*a*d The Attempt at a Solution v^2/(2*a)=d

find the equation of the plane through the origin and perpendicular to the vector (1,-2,5). this is the only relevant equation i have found $a(x-x_0)+b(y-y_0)+c(x-x_0)=0$

Homework Statement . Let ##X=\{(x,y) \in \mathbb R^2 :y \geq 0\}##. If ##p=(x,y)## with ##y>0##, let ##\mathcal F_p=\{B_r(p) : 0<r<y\}##, and if ##p=(x,0)##, let ##\mathcal F_p=\{B_r(x,r) \cup \{p\}: 0<r\}##. Then, there is a neighbourhood filter system generated on ##X## and if ##\tau=\{A...

Homework Statement The problem is described and drawn here: https://drive.google.com/file/d/0B-HFS9bOMNAcMjNacXlha0Z6cVk/edit?usp=sharing Edit: The picture seems not to be showing up, so the address is: https://drive.google.com/file/d/0B-HFS9bOMNAcMjNacXlha0Z6cVk/edit?usp=sharing...

I have a model set up, that is a cuboid, with a membrane half-way along - a bit like an impedance tube setup. I've used Integration 1 & 2 with Explicit 1 & 2 to define an 'inlet' and 'outlet' at opposing faces of the tube. The Variables for the inlet and outlet are intop1(p0) and intop2(p)...

Homework Statement EDIT: I have solved it entirely myself.Homework Equations The Attempt at a Solution

Homework Statement (2; 0; 1); (-1; 2; 3); (3; 2; 2) and (3;-6;-3) Homework Equations PS→⋅(PR→×PQ→)=0 The Attempt at a Solution Hi all, I am just wondering if my calculations are correct, and in fact these points do not lie on a plane. My answer is = 50 and i am not confident. Can...

Are plane and surface of sphere different metric spaces? Can distance function of plane be applied as distance function of surface of sphere? Please correct my question if needed?

When resolving all of the VERTICAL forces in a block that is being pushed up an incline with some incline amount theta, then when PUSHING with force P at an angle of alpha on the block, then the vertical component of force P is sin (alpha) * P in the downward direction (opposite of the Normal...

Homework Statement problem 1: given the straight line r whose equation is r=<3+2t, 4+2t, -1-t> 0.Determine A, intersection of the plane yz 0.1the parameter value at A is t= 0.2therefore A=(...,...,...) 1.we want to re-parametrize r (be u the new parameter) so that: 1.1the new...

Several companies have put forward plans for suborbital aircraft that use bouyancy to reach the edge of space. In fact, balloons can ascend to over 60,000 ft. Would it be possible to design an aircraft that uses bouyancy to ascend and then somehow convert to a glider to land unpowered, using...

find the values of k and m so that the line x+1/k = y-2/m = z+3/1 is perpendicilar to the plane through the points U(1,3,8) , W(0,1,1) , and v(4,2,0).PLEASE HELP ME THANKS ALOT :)

Algerie plane is missing

From Optics by Hecht He says "only a plane wave of infinite extent will propagate as a plane wave" What does it mean by " plane of infinite extent" in this context?

Homework Statement Find an equation of the plane that passes through the points (4,2,1) and (-2, 9, 6), and is parallel to the z axis. Homework Equations a(X-Xo) + b(Y-Yo) + c(Z-Zo) = 0 The Attempt at a Solution Okay so for this one, I first tried to make a vector out of the...

If the Parallel Axiom is just one of several possible assumptions, why is it that so many mathematical relationships seem to only be expressible in the Euclidean plane? Do planes with positive or negative curvature give analogues to the Agrand plane for complex algebra, or the Cartesian plane...

Homework Statement I was looking at the problem discussed in the thread below. https://www.physicsforums.com/showthread.php?t=502417 A block is initially kicked in the direction perpendicular to the downslope of the plane with initial speed V. The problem asks for the speed of the block...

How to define the plane of incidence for normal incidence of a plane polarized wave? Is the reflection coefficient defined by ordinary, extraordinary, or the combination of both waves? Thanks for the help!

I am reading the book, "Introduction to Plane Algebraic Curves" by Ernst Kunz - which the author claims gives a basic introduction to the elements of algebraic geometry. The opening few paragraph of Kunz' text reads as follows:I am puzzled by Kunz statement: "$$ \mathbb{A} (K) := K^2 $$...