Plane Definition and 1000 Threads

A solid hemisphere has another, smaller solid hemisphere attached to each other at their plane, circular faces, so that the centre C of the circular bases of either coincide. A particle P is then attached to the edge of the plane circular face of the larger hemisphere. The composite object is...

I'm a bit confused about the electric field above a plate. First, I have come across the equation E=kQ http://www.sparknotes.com/testprep/books/sat2/physics/chapter13section3.rhtml which in many ways makes sense to me because around a point the field would be proportional to 1/{r^2}, and then...

Find the matrix for the transformation that projects each point in R3 (3-D) perpendicularly onto the plane 7x + y + 3z = 0 . The attempt at a solution is attached for question 1 (actually instructor's solution) I kind of understand it but ... why is n <dot> v = equation of the plane? Does v...

Find the matrix for the transformation that projects each point in R3 (3-D) perpendicularly onto the plane 7x + y + 3z = 0 . The attempt at a solution is attached for question 1 (actually instructor's solution) I kind of understand it but ... why is n <dot> v = equation of the plane? Does v...

If I have a ramp that is 1.143 meters long, and I need to make it incline at a certain angle and height to make sure the acceleration is .5 m/s^2, how would I go about doing that without taking friction into account and without weighing anything?

Hi guys, I'm new to this site so forgive me if I'm unfamiliar with any etiquette unique to here. We did a practical exercise the other day in class in which we accelerated a bogey to a certain RPM and then released it to accelerate up a ramp. We were then given a sheet of the measurements I have...

For EM wave, magnetic and electrical components are in phase, meaning when E = 0, then B = 0. Thus, I understand if it is written: f(x,t) = A(cos(kx - wt) + icos(kx - wt)) Then why plane wave is always described: f(x,t) = Aei(kx-wt) = A(cos(kx-wt) + isin(kx - wt)) Implying that Real and...

Homework Statement 1st example: A 10 kg block is pushed up a ramp at a constant speed of 5.7 m/s. The ramp makes an angle of 30 degrees to the horizontal and the ramp is frictionless. The block is released and allowed to slide up the ramp until it stops. What is the magnitude of the...

Why would the coefficient of kinetic friction be larger for an inclined plane versus a horizontal plane? Would it be related to the material? I thought initially it was something to do with the force of gravity… but apparently that's not it :( Thanks so much in advance!

Homework Statement A force = (1.9 N/m2)x2i is applied to a particle initially at rest in the xy plane. Find the work done by this force on the particle and the final speed of the particle as it moves along a path as follows. The given force is the only force doing work on the particle. a) in...

Homework Statement Find out the degrees of freedom of a block of wood sliding on a horizontal plane. Homework Equations DoF=Nn-k N=no. of dimensions. n=no. of particles.k= no. of constraints. The Attempt at a Solution I am considering the block of wood as a rigid body made of n no. of...

Hey everyone, I have a theoretical problem. I have a box. Rounded off but not greatly aerodynamic. It is 800 kg including propulsion. I have wings with a max of 2.25m long and a max width of about 2m wide. This is the length of the box. I need to know how fast the box needs to go with those...

Hello, I have been attempting to reduce Maxwell's equations to the forms shown in the image, by substituting the plane wave solutions for E and B of the wave equations back into Maxwell's equations, but I cannot find a way. Anybody know how to do this?

Homework Statement what is the focal length of a plane glass ? Homework EquationsThe Attempt at a Solution place a plane glass in a plane and allow light to pass through it measure its focal length (i think its focal length is infinite )

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)...