What is Plane: Definition and 1000 Discussions

Sorry for the really messy work I know I have a problem. The other questions that the problem asked before the one I need help with are as follows: Find the intercepts and sketch the plane. Find the distance between the plane and the point (1,2,3) Find the angle between the plane and the xz...

##I_{AB} = I_{GXX} + A.(y^{2})## Same applies to CD; ##I_{CD} = I_{GYY} + A.(x^{2})## In the above statement, "any axis in its plane" where does the plane exist in this sketch?

How does " an axis normal to the plane containing the structure" look like?

This is a very basic issue but really important as well. The rectangular loop has length ##l## and width ##h##. I have seen the argument of neglecting the encircled sides of the loop because ##h << 1## while using Ampere's law to calculate the magnetic field flowing over a plane. I find this...

Hello Got a following problem. 300N Box on a frictionless inclined plane. The plane itself is in the Z-direction. Box is held by a rope AB and a force in the direction Z. Determine the tension in the rope and the force F. The answers to this problem are 104N and 215NMy question is where do i...

Let v be the speed of the block and x elongation of the spring beyond the equilibrium point. Initially, v = 0 and x = 0. At the maximum elongation, the block also has v = 0, it has moved a distance equal to x (parallel to the plane) and the variation of height is equal to -x⋅sin(53°). W(FNC) =...

This is a pretty simple question, I am just trying to clear up confusion. Let ##D## be the rectangle in the plane with vertices ##(-1,0),(-1,1),(1,1),(1,0)##. Let ##\lambda >0##. Then what exactly does the set ##\lambda D## look like? Is it correct to say that, for example, ##2D## is the...

I tried to find the force of friction using the the coefficient of kinetic friction with the equation F=nukmgcos Ѳ. Then I made the force of friction equal to the force of pull. I don't know what I'm doing wrong as I'm getting the wrong answer. I have attached a picture of my work.

I'm trying to derive the electric and magnetic fields of a plane wave from the four-potential ##\mathbf{A} = (A^t , \mathbf{a}) ## in the Lorenz gauge. Given: ##\mathbf{A}(\mathbf{R}) = \Re \left( \mathbf{C} e^{i \mathbf{K} \cdot \mathbf{R}} \right)## for constant future-pointing lightlike...

I'm confused what's meant by a uniform surface current density since this plane has a thickness, It would need a current density distributed through its cross sections, I thought.Edit: I tried solving with proper LaTeX and all my steps, but it looked awful. For outside, I got B=µ_0jd/2. for...

Here is the question (Qu 9): Here is what I have attempted: assumed that the accelerations are equal, found a value for the acceleration, thus worked out the time taken for A to reach the bottom. then assumed that the tension becomes 0 once A hits the floor, and then worked out B's new...

sz+tz*+r=0=say w so w* = s*z* + t*z + r*=0 Now , w+w* = (s+t*)z + (t+s*)z* + r+r* = 0 = p*z + pz* + k = 0...eq(1) ( k is a constant or twice real part of w) which is in complex straight line equation form i.e ab* + a*b + c = 0 ( a,b are complex number and c a real number. Now, again...

Since gravity is acting downward, I found the gravity component parallel to the plane, which was g/sin60. I substituted g/sin60 for g into that equation and got D, but the answer should be C.

I have two regions, given by ##y>\sqrt{2}x - \frac{1}{4x}## and ##y< \sqrt{2}x + \frac{1}{4x}##. How can I find the area of their intersection? If their is no easy analytical way, could someone perhaps use a computer? I am not sure how.

I don't understand why we could not use the 1/4 of the circle lying on the xy plane as R. In the exercise it is not explained. The idea would be taking the arc length. I know it is not easier than making your projection on the xz plane, but just wondering if this is possible. I guess it is not...

The Question: Attempt at a solution: I know for a fact that my attempt is fully wrong, but I am just grasping at straws here and have no clue how to approach this problem. Any help getting me to wrap my head around how to approach this is much appreciated. Thank you in advance.

Homework Statement Show that n lines separate the plane into (n^2+n+2)/2 regions if no two of these lines are parallel and no three pass through a common point Homework EquationsThe Attempt at a Solution Look at my picture. The one on the left separates into 4 reigions, the one on the right...

So here's the problem: A sled slides down a long snow-covered slope that is at an angle θ to the horizontal. Kinetic friction acts on the sled as it slides where the kinetic coefficient of friction between the sled and snow is μk = 0.050. Ignore air-resistance when solving this problem. If we...

Homework Statement I attached an image of the multi-part problem on this post. I got correct answers to every question other than the last one. Homework EquationsThe Attempt at a Solution I believe the last part is a surface integral problem. F is given and I found n is previous parts of...

Homework Statement Homework EquationsThe Attempt at a Solution How do you know the left plate (or the right plane) produces a field (1/2ε) σ to the left and right? How do you apply Gauss Law? For one infinite plane, we can use Gauss law because of symmetry, so we can assume the electric flux...

Homework Statement Is there a bounded set ##H## in the plane which is isometric to a proper subset ##S \subset H##? Homework EquationsThe Attempt at a Solution I'm thinking that the answer is no. Here are my ideas, that by no means constitute a proof. Every isometry of the plane is either a...

Homework Statement The static friction coefficient on an inclined plane is equal to tan(θ). The problem requires me to prove this also works by using an x-axis parallel to the ground rather than parallel to the incline. I understand how to get tan(θ) using the incline as the x-axis, but I don't...

Homework Statement Mass of m1=90kg Inclination is 40degrees. (see the attachment) a) What must be the size of m2 , to hold the system in balance (no movement) ? b)what must be the size of m2 at least, to make m1 move upwards. The static friction coefficient between m1 and the plane is 0.3...

Homework Statement There is an inclined plane which is inclined at an angle of 37° to the horizontal. A projectile is projected perpendicularly to the inclined plane at a velocity of 50m/s such that it strikes a wall kept at the foot of the inclined plane perpendicularly. Find the time taken...

Homework Statement A dipole ##\textbf{p}=p\mathbf{\hat{z}}## (oriented along the z axis for example) is parallel to a conducting grounded plane (xz plane) and is placed at a distance ##d## from it. I have to find the interaction energy and the force between the dipole and the plane. Homework...

Hi, I am really stuck! I need to find the equation of the plane through the line x=2y=3z perpendicular to the plan 5x+4y-3z=8. Can anyone give me any pointers of where to start with this? Not expecting a full solution, just an idea of where to start. THanks!

There is remarkably little information on the internet including Wikipedia on this topic. Can someone point me in the right direction as I want to build a visualization software that illustrates the supergalactic plane and the coordinate system with any kind of celestial sphere involved. All I...

Homework Statement Two identical masses are connected with a rope and are gliding without any friction. Situation given in the picture: Determine after which distance "s" they stop if we have s=0 at t=0 with starting velocity ##v_0## Given: ##\alpha## and ##\beta## with ##\alpha < \beta##...

Homework Statement If the plane 3x+y+2z+6=0 is parallel to the line (3x-1)/2b = 3-y = (z-1)/a then 3a+3b is? Homework Equations angle between two lines=90 degree when l1l2+m1m2+n1n2=0 where l,m,n are direction ratios...(i) The Attempt at a Solution First I divided x/3 and 3-y by -1 to get the...

Homework Statement A vector n of magnitude 8 units is inclined to x,y and z axis at 45, 60 and 60 degrees resoectively.If the plane passes through (root2, -1, 1) and is normal to n then find its equation. Homework Equations (r-a).n=0 where r is position vector of a point on plane, a is a point...

Homework Statement A car is moving up a rough inclined plane/road of 10 degrees with a velocity of 10m/s. The coefficient of friction is equal to 0.5 and the mass of the car is 10kg. The car brakes. After what distance does the car stop? Homework Equations F=ma v^2=u^2+2as u= initial velocity...

I think the answer to number 1 is 63.0 or 60 if rounded to the nearest tenth, and i think number 2 is. 96.0 or 100 if rounded to the nearest tenth. Need help with 3 and 4. I think for 3 i would add 6 and 8 as the vertical diagonal and the horizontal diagonal would be 5 . 6+8=14 so the area...

How do the redshift change along the galactic plane or ortoganal to the galactic plane? If we measure a redshift of a star on the backgorund of other side of our galactic plane (where most stars are concentrated) are the redshifts avaraged higher? Is there a study or research discussing this...

Homework Statement A mirror is moving to the right with a velocity 15 m/s, and an object is moving to the right with a speed of 5m/s. All speeds are wrt ground. Find the velocity of image wrt ground. Homework EquationsThe Attempt at a Solution I present to you two probable solutions: 1) Using...

Homework Statement Find the shortest distance from P(-4,2,6) to the plane 2x-3y+z-8=0. Homework Equations ##|proj_\vec n \vec PQ|=|(\frac {\vec PQ \cdot \vec n} {\vec n \cdot \vec n})| |\vec n|## The Attempt at a Solution I kind of had to guess some steps because it was done differently in...

Homework Statement [/B] I got part A and B but in part c , but how to relate period to the equation in part b which is not similar to the cosine function of S.H.M . So i don't know how to obtain period from the equation PS: In part b ,I use mgsin(theta)=-kx and then divided by m Homework...

Homework Statement See picture. Homework EquationsThe Attempt at a Solution I tried at first just doing (1/3)*(48kJ) to get the energy dissipated, but that would i=give me 16kJ

Homework Statement Find the scalar, vector, and parametric equations of a plane that has a normal vector n=(3,-4,6) and passes through point P(9,2,-5) Homework EquationsThe Attempt at a Solution Finding the scalar equation: Ax+By+Cz+D=0 3x-4y+6z+D=0 3(9)-4(2)+6(-5)+D=0 -11+D=0 D=11...

Homework Statement The question says "A block of mass 4kg on a friction less inclined plane at angle of 30° is connected by a cord over massless friction less pulley to a second block of mass 2.3kg hanging vertically. What is the magnitude of acceleration of each block." Given m1 = 4 kg m2 =...

I am looking for an app that can instantaneously plot the function f(z) in the complex plane once z is given. It would be much favorable if this process is fast which allows one to visualize f(z) when the user is moving the mouse on the complex plane to the location of z. One possible...

Hello all again, I was just thinking again about another aspect of electromagnetic waves: Assume we have a planar wave. How "broad" is it or how far does the electric field of it reach? For instance if we have a single planar wave, assume the k-vector in the direction of propagation and then the...

Homework Statement My question. When studying conics, the parabola circle, and ellipse can be easily see by passing a plane through a double cone. The hyperbola is generated when the plane is passed through the double cone where it passes through the top and the bottom cone. My question is...

Hello. Let's suppose that we have a Michelson interferometer to study interference patterns of light. This time we use plane waves. If we set the whole thing up so that the two separated beams have a phase difference of π when they superpose, destructive interference ensues. Since we're...

How do I know where to put the axes for the equation 4x^2 - 9y^2 = z when graphing in 3d?

As we know, POWER is what accelerate a car, FORCE itself doesn't accelerate a car, if FORCE cousing movement it change into work, and work over time = POWER. The FORCE from jet engine pushes a plane forward. But as we know (or I'am wrong) FORCE don't push enything, only POWER couses...

Homework Statement In picture, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength ##0.260 nm## makes an angle ##\theta=63.8°## with the top face of the crystal. What is the unit cell size ##a_0##? Homework Equations Bragg law $$d=\frac{ n...

Homework Statement We have a plane which lift area is A=500 m2 and weight of plane is m= 540 000 kg. That the plane can stay in air the pressure difference between top and bottom of the lifts have to be: B>G --> Δp= (m*g)/A = 10 594.8 Pa. Homework Equations Bernoulli equation The Attempt at...

Homework Statement [/B] So I am pretty okay with most of this problem. And I asked my teacher for clarification but he just sort of said "because it's positive" and I get that's it's positive. Apparently "everyone's" struggling with that, and therefore we are going over this problem to...

I'm sorry if this question is a little abstract, but would appreciate any guidance! It's for a DIY project I am considering. Suppose you have a flat panel mounted on a wall, and a very strong magnet that will move in any direction on the plane of the flat panel. Through any possible arrangement...