Plane Definition and 1000 Threads

Homework Statement Locate two charges q each and two charges –q each on the corners of a square, with like charges diagonally opposite on another. Show that there are two equipotential surfaces that are planes. In this way obtain, and sketch qualitatively, the field of a single point charge...

Homework Statement I am preparing for my calculus III class over the break. I came across the formula for the angle between two planes which is: cosΘ = (|a.b|)/(||a|||b||) Homework Equations cosΘ = (|a.b|)/(||a|||b||) a.b = ||a||||b||cosΘ The Attempt at a Solution I know that the dot product...

For example I have the variables x, y and a probability distribution p(x,y). I want to approximate p(x,y) as a linear function, a plane in this case, at least somewhere in the domain. However I only have samples from the distribution. In case of big amount of data the it is easy to collect them...

Homework Statement A crate lies on a plane tilted at an angle θ = 22.0° to the horizontal, with μkin = 0.12. a.) determine the acceleration of the crate as it slides down the plane b.) if the carton starts from rest 9.30m up the plane from its base, what will be the carton's speed when it...

Vertically: The initial velocity: =0 Acceleration: a=-9.8 Target Height: y=0 Current Height: y=8000m time=40.40 Horizontally: Velocity=133.88 Acceleration=0 time=40.40 Using these values, I have calculated that the bomb will drop 5408.75 meters away. Now I am trying to find the total...

plane wave is represented as exp (ik.r) and the cylindrical wave as 1/sqrt(r) *exp(ik.r) and the spherical wave as 1/r*exp(ik.r) Have anyone tried to plot these waves? How to do it? Attempt: in Matlab assuming k=1 >> x=linspace(-1,1,100); >> for(ii=1:100) fp(ii)=exp(i*x(ii)); end >>...

Consider the following configuration: a grounded plane (very thin and with an infinite surface) and a positive (not important) point charge above it. What does grounded really mean? Can't I assume that it is neutral and it has infinitely many positive and negative charges? Because of the...

A body is capable of remaining stationary inside a liquid in a closed box (that means its density is same as that of liquid) . If the whole system is placed on inclined plane and allowed to slide down then: 1. body moves up relative to liquid 2. moves down relative to liquid 3. stationary wrt to...

Homework Statement Q 1. How fast will a skydiver be traveling 1 second after jumping from a plane?Homework Equations SUVAT formula The Attempt at a Solution [/B] I guessed the answer to be 10 m/s because something to do with gravity and a 1 kg mass. The answer is correct according to the...

hello I solve neutron diff eq for plane source in the vicinity of slab of water but if i substitute source term with 1 the flux in some places is greater than one! how it possible?! i am sure about my calculation so someone say me how it possible?

When we accelerates in one direction, the now plane will slice the spacetime and move up in the direction of motion and move down behind us. That is, in the direction of motion, the further end, the time will be running faster as we accelerate and vice-versa. So now if we start to deaccelerate...

< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >[/color] This problem is bugging me since a week so I decided to post this here Suppose we have a wire with some current 'I' and which at a point 'o' spreads radially in all direction along...

Homework Statement Given a uniform plane wave in air as: E_i=40cos(wt- Bz)a_x +30sin(wt- Bz)a_y (a) Find H_i (b) If the wave encounters a perfectly conducting plate normal to the z axis at z = 0, find the reflected wave E_r and H_r. (c) What are the total E and H fields for z < 0?Homework...

This question was on our final, but I do not completely understand what the professor was trying to say. 1. Homework Statement "A charge Q is located at a distance d above an infinitely large grounded half-plane located in the x-y plane and at a distance d from another grounded half-plane in...

The title may seem a little confusing and possibly stupid :D What I mean is like a plane doesn't go through the origin? Can we describe a basis for this? If so, how?

Homework Statement Attached file Homework Equations Attached file[/B]The Attempt at a Solution Attached fileSorry, I am in mobile, so i cant Write all the things,

Homework Statement Attached Image Homework Equations this is not a simple plane curve or a close plane curve so I use the formula: ∫ F ⋅ dr/dt dt The Attempt at a Solution From the point (0,0) to (2,4) Direction Vector v(t) = <2-0, 4-0> Parametric Equation: r(t) = (2t + 0) i + (4t + 0) j...

http://file://localhost/Users/pablotano_94/Downloads/IMG_20141205_183228102.jpg 1. Homework Statement Assume that the friction coefficient (both static and dynamic) is ¨u¨. a) What is the maximum slope yo can get in order that the bench does not slide? b) What is the maximum slope yo can get...

Homework Statement First of all, here is how it goes: an object with a starting velocity of 3 m/s reaches the height of 0.3m (inclined plane) and then it "stops" and slides down. What will be the velocity when it reaches the bottom of the inclined plane ? (Sorry if the terms are wrong, English...

Homework Statement I have to show that the interference of plane waves: f^{(\pm)}(\vec r,t)=\int \frac {d^3k}{(2\pi)^{3/2}}\int \frac {d\omega}{(2\pi)^{1/2}}e^{i(\vec k \cdot \vec r - \omega t)}\tilde f^{(\pm)}(\vec k, \omega) where the amplitudes are given as: \tilde f^{(\pm)}(\vec k...

Hello everyone, I have a rather simple question. I have the curve ## C(t) = \begin{cases} 1 + it & \text{if}~ 0 \le t \le 2 \\ (t-1) + 2i & \text{if }~ 2 \le t \le 3 \end{cases} ## which is obviously formed from the two curves. This curve is regarded as an arc if the functions ##x(t)## and...

Homework Statement Given: The friction between the block with mass 6 kg and the wedge with mass 18 kg is 0.27 . The surface between the wedge with mass 18 kg and the horizontal plane is smooth (without friction). The acceleration of gravity is 9.8 m/s^ 2. A block is released on the inclined...

Homework Statement In Exercises 45-46, show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. 45. The plane given by x + y + 2z = 0 and the line given by x = 2 + t y = 1 - 2t z = 3 + t Verbatim from Poole - Linear Algebra: A...

Mod note: Below is a revised version of the problem. 1. Homework Statement Determine E at (x,0,0) where x>a/2. What is the asymptotic field on the x-axis? Homework Equations 1)Coulomb's law for charged surface of density Sigma ##\vec E(\vec x-\vec x')=\frac{\sigma}{4\pi\epsilon_0} (\iint...

explain this derivation: Source: microwave engineering, pozar Why did pozar use those conjugates? What does the source current mean?

I know that the lift equation for a single wing is L=Cl*0.5*A*r*V^2 where L is lift, Cl is the lift coefficient, A is the area, r is the air density, and V is velocity. Does this equation still apply to the elevator and rudder of a plane or is another equation used? If so, where can I find...

Homework Statement An inclined plane, fixed to the inside of an elevator, makes a 32 degrees angle with the floor. A mass m slides on the plane without friction. What is its acceleration relative to the plane if the elevator accelerates upward at 0.50g? Homework Equations F = ma The Attempt...

Homework Statement find the volume using spherical coordinates of the region bounded above by z=9 and below by z=sqrt(x^2+y^2) in the first octant. Homework EquationsThe Attempt at a Solution I found this volume using cartesian and cylindrical coordinates, so I know the answer I am looking...

Homework Statement Hi! The entire problem is this: (a) Two plane-polarized harmonic plane waves having the same propagation constant are polarized, respectively, along two perpendicular directions. Show that if the phases of the two waves are different, their superposition yields generally an...

Dear All, In the 2nd paragraph of the attachment can you please explain to me why we are trying to make ## r(z) = z ## and what does "As r is not the identity..." mean?? and how did the line ## L = 0.5*b + ρe^{θ/2} ## come about? Danke...

Dear all, can you please verify if my derivation of the algebraic formula for the rotation isometry is correct. The handwritten file is attached. The derivation from the book (Alan F beardon, Algebra and Geometry) which is succinct but rather unclear is given below. Assume that f (z) = az + b...

Homework Statement A force acting on a particle moving in the xy-plane is F = (2yi + 1.2x^2 j)N. where x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5m and y = 5m. Calculate the work done by F along OAC Homework Equations Integral of force...

Hello folks. After a while lurking I've finally got a problem that I need some help with! 1. Homework Statement I'm designing an adaptor for a drinks optic and have translated one of the aspects of the design into the following problem. There is plenty of stuff on the net about simple...

Homework Statement You hear the sonic boom of a high-speed jet plane exactly 4.50 s after it passes directly overhead in level flight. At the time you hear the boom, you see the plane at an angle of 16.0 o above the horizon. Assume that the speed of sound at the altitude of the plane is 325...

Homework Statement You hang a plumb bob inside an empty box. The empty box slides down a friction-less inclined plane. The inclined plane makes an angle of 30 degrees with the horizontal. What is the angle the plumb bob makes with the vertical during the slide? Homework Equations g pulled down...

Homework Statement A cylinder on a inclined plane is rolling without slipping. Inclined plane is connected to wall with a spring and cylinder is connected to wall with a spring too. All frictions will be neglected, and all the given data has shown on the image below. As seen above, k2 spring...

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 )