Plane Definition and 1000 Threads

Find in rectangular coordinates a unit vector which is: A. in the direction of E at P(2,3,-4)if $\overline{E}=(x^2+y^2+z^2)\left(\frac{xa_{x}}{\sqrt{y^2+z^3}}+\frac{ya_{y}}{\sqrt{x^2+z^2}}+\frac{za_{z}}{\sqrt{x^2+y^2}}\right)$; B. Perpendicular to the plane passing through M(1,-5,5), N(-2,4,0)...

for example when you climb up an inclined plane why is there no work in the horizontal direction yet there is work in the vertical direction? I do not want examples I want a direct answer.

Hi, I have a problem with the following explanation of velocity in plane polar coordinates. I don't understand why the magnitude of Δer is approximately equal to Δθ. Thanks

Homework Statement "You are lowing two boxes, one on top of the other, down a ramp. Both boxes move together at a constant speed. The coefficient of kinetic friction between the ramp and the lower box is 0.430, and the coefficient of static friction between the two boxes is 0.779. The lower box...

Homework Statement A 2 kg object is placed on a plane inclined at an angle of 30 degrees. If the coefficient of static friction is 1, and the coefficient of kinetic friction is 0.1, what is the net force on the block? Homework Equations F = ma The Attempt at a Solution I made a FBD with a...

A person asked this question of me recently and it generated some discussion amongst the people in the room (many of whom had a limited background in physics). The original question went something like this: suppose that a ball is initially at rest in a wagon and the wagon is given a horizontal...

< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown > So the problem that I have been assigned has formulas of rotational energy, momentum, trajectories, inertia, and inclined planes. A solid sphere is rolling down an inclined plane (that is placed...

Homework Statement Homework Equations lambda= 2*pi / k Ei(z), Ei_perpendicular (z), Ei_parallel(z) eq. epsilon_r1=1, epsilon_r2=2.25 eta_1=120*pi, eta_2=80*piThe Attempt at a Solution I having trouble understanding some parts of this problem. i get k1=3.61, k2=5.42 and for d)...

$\textbf{Problem}$ Let $\textbf{u}$ and $\textbf{v}$ be linearly independent vectors in $\mathbb{R}^3$, and let $P$ be the plane through $\textbf{u}, \textbf{v}$ and $\textbf{0}.$ The parametric equation of $P$ is $\textbf{x} = s\textbf{u} + \textbf{v}$ (with $s$, $t$ in $\mathbb{R}$). Show that...

Homework Statement f(x,y) = x^2 + xy + y^2 and z=2x+y intersect, find a parameterization of the curve where they intersect. Homework EquationsThe Attempt at a Solution I am lost. I know that z is the partial derivative of the original function, if that's of any use. I can visualize it but not...

A 1.54 kg green toy car accelerates at 1.70 m/s² down a ramp 3.38 m long. If the force of friction acting on the toy car is 1.31 N, how much work is done on the toy car to get it to the bottom of the ramp? Formulas: Ep=mgh W=fd F=ma a=gh/d Fr=u*Fn I know the acceleration, mass, and distance...

Homework Statement Describe the set of points determined by the given condition in the complex plane: |z - 1 + i| = 1 Homework Equations |z| = sqrt(x2 + y2) z = x + iy The Attempt at a Solution Tried to put absolute values on every thing by the Triangle inequality |z| - |1| + |i| = |1|...

Homework Statement Find a set of parametric equations for the line of intersection of the planes. 6x-3y+z=5 and -x+y+5z=5[/B]Homework Equations The cross product formula The formula for the parametric equations of a line in three dimensional space: x=x1+at, y=y1+bt, z=z1+ct Knowing the fact...

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 > 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 conducting...

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...

1.my problem The Attempt at a Solution its an infinite cylinder ,because of symmetry i thing we can think at this as 2D problem of scattering and using 10.19 10.20 i can do the discritisation of the problem.and finding the field. but the problem is that those formulas depend of J which i am...

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...