Rectangular Definition and 451 Threads

Homework Statement A frame is made of two firm wires of length ##h## and a rod of length ##l## and mass ##m##. This frame can rotate around horizontal axis in uniform magnetic field ##B##. In a short amount of time ##τ## a current ##I## passes through the frame. What is the maximum angle that...

Homework Statement Show that the moment of inertia of a rectangular plate round it's diagonal, line B-B is equal to the one round a line parallel to one of the edges and passing through the center, line C-C Homework Equations Moment of inertia: ##I=mr^2## The Attempt at a Solution For the...

I am planning to build a rogowski coil but not the conventional one, which is a circular loop. Below is the example of a rogowski coil so you have the big picture of my question. In the picture, the current conducting wire (with current Ip) is encircled by a big circular loop rogowski coil...

$r=3-\cos\left({\theta}\right)$ ${r}^{2}=3r-r\cos\left({\theta}\right)$ ${x}^{2}+{y}^{2}=3r+x$ How you deal with 3r ?

$2\sin\left({\theta}\right)-3\cos\left({\theta}\right)$ Convert to rectangular coordinates I'm clueless?

1. The problem statement, all variables a nd given/known data A rectangular trough extends infinitely along the z direction, and has a cross section as shown in the figure. All the faces are grounded, except for the top one, which is held at a potential V(x) = V_0 sin(7pix/b). Find the...

Homework Statement [/B] Determine the rectangular and polar radii of gyration of the shaded area about the axes shown. Homework Equations dIx = y2dA Ix = ∫y2dA dA = ydx A = ∫(dA The Attempt at a Solution dIx = y2dA =(x6/16) *(x3/4) dx =(x9/64)dx Ix =(integrating from 1 to 2) ∫dIx =...

Hi all, I have two identical magnet which measures 0.6T when I put my gauss meter on the top surface. I configured the magnets as below: I would like to know what should I expect if I measure the strength(Tesla)at the red round dot position? Would it be 1.2 tesla? Please advise. Thank you...

I'm at it again today. Helping the same friend (plus another) study for their final calculus exams; it's a good refresher for me as well. (I'm a senior industrial engineering major so I'm "done" with calculus, and it isn't used much in our upper level classes nor professionally to the best of...

Hi all, I need help finding a formula to find the volume of a solid that has a fixed width and depth but 4 different heights. To see what I mean, please take a look at a sketch I drew below. Thanks.

Hi guys, Bit of a noob engineer here so looking for some guidance. I'm designing a fixture which will be constructed from stainless steel rectangular tube as shown in the diagram. If I apply a 10,000kg weight over a 100mx100mm area how do I go about calculating the stress and ultimately safe...

Homework Statement I am putting the picture of the equation given to me in book , I feel it to be wrong please tell me that is the equation written in book correct or not ! Homework EquationsThe Attempt at a Solution

I'm working on a design of packages opener but first I need to figure out how to feed them neatly into my machine. What's a common industrial way to take rectangular shaped boxes from the buffer with transporting belt so that all boxes would enter the next stage aligned longitudinally one by one?

Homework Statement Homework Equations [/B] The Attempt at a Solution [/B] Hello As you see my solution I found TM(5 , 2.5) that is incorrect because n should be integer not float number.In Addition when I check book solution I found TM mode is TM(2,1) what is my mistake?

This is the equation for the cone A \sqrt{x^2 + y^2} The double integral \iint A \sqrt{x^2 + y^2} \space dy \space dx \space \space \space\text {From x= -1 to 1 and y=} -\sqrt{1-x^2} \space to \space \sqrt{1-x^2} \text{ is very difficult to evaluate. I've tried polar coordinate substitution...

Im trying to construct a regular grid in a rectangular box in 3 dimensional space heres what i have to work with: x has a range between xmin and xmax y has a range beween ymin and ymax z has a range between zmin and zmax the total number of points is limited to a specific number n i want the...

Homework Statement Consider the figure on the right. Wire 1 is oriented along the y-axis and carries a current I1. A rectangular loop located to the right of the wire in the xy-plane carries a current I2. Find the magnetic force exerted by wire 1 on the top wire of length b in the loop...

Hi. In this video: he ignores the magnetic field from current 2(I2). Could anyone give me a good explanation why?

Homework Statement I am trying to calculate the transmission and reflection coefficients for rectangular finite potential barrier between (-a, a) for a particle of mass m with energy equal to the height of the barrier (E = V0 > 0). Homework Equations...

when i use this MATLAB code but with rectangular pulse shape instead of chirped pulse i didn't get the predicted output , so is there a limitation with this method in case of rectangular pulse or the MATLAB code is wrong...

Homework Statement A rectangular loop of wire, of sides 5 and 3 cm moves away from a a long straight wire at 4ms-1 carrying a current of 2 amps. What is the EMF induced in the moving loop, when the near side of the loop is 3cm away from the wire? Homework Equations B = μ0I/2πr EMF = -dΦ/dt...

[SIZE="4"]LEDA 074886, also known as PGC 74886, is a dwarf galaxy with a rare rectangular shape, located at a distance of about 70,000,000 light-years ( 21,000,000 pc) ...

Homework Statement (a) The metallic rectangular loop of length b and width a (ABCD) is mounted in an assembly, which allows it to be rotated about an axis bisecting AD and BC. The plane of the loop makes an angle θ to the horizontal and a uniform magnetic field B is applied vertically...

Homework Statement Maximise the volume of a rectangular prism with the following constraints: the surface area must equal 2m^2 and the total edge length must be 12m. Homework Equations Using Lagrange multipliers, we construct the function we want to optimise with h(x,y,z, λ_{1}...

Dear PF: I'm currently working in a problem that has had me stranded for several weeks now. The problem reads as follows: (See attachment) Consider a beam of quantum particles (that is, the particles are small enough to exhibit non-negligible quantum effects) that propagates through a...

What am I doing wrong? Convert $$r = 2sin\theta$$ to an equation in rectangular coordinates.. $$x^2 +y^2 = r^2$$ $$x^2 + y^2 = 2y$$ $$x^2 + y^2 - 2y = 0$$ $$x^2 + y^2 - 2y - 1 = 1$$ $$x^2 + (y-1)^2 = 1$$ Coordinates are $$(0,1)$$ yes?

So the question is A rectangular plate has length l, width w and thickness t. Its density is constant across the width, but varies with distance from one end as ρ=ρo [1 + (x/l)^2] Find the plate’s mass and the coordinates of it’s centre of mass. I Have had a bash at this question, thinking...

Homework Statement show rectangular box of given volume has minimum surface area when the box is a cube [gotta show it with partial derivatives to minimize] Homework Equations surface area = 2(wl+hl+hw) volume = whl The Attempt at a Solution so this is the one I would be minimizing...

Homework Statement I'm following a procedure in a particular paper as part of my Masters project. The paper is called 'Theoretical investigation of the sound attenuation of membrane-type acoustic metamaterials - Y Zhang, J Wen, Y Xiao, X Wen and J Wang (2012)' and can be seen...

Take any given point on the perimeter of a (A x B) rectange and then draw a line from that point to another point on one of the three remaining sides of the rectangle. What is the average length of the line? Well, the answer to that question involves integrals like this: \int_0^A \int_0^B...

hello, I am trying to find the new moment of inertia total for a rectangular stainless steel 4"x2"x.25"thk with a 3"x.75" flat bar welded on top of the short side of the rectangular tube. The short side (.75") of the flat bar will be welded to the center of the rectangular tube to the 2"...

1. Hi! I am new at this forum, and english is not my native language, so, I hope I can make myself clear. A teacher send us a list of activities, but he did not give us the theory about it (the theoretical class). So, I have read a few things on the internet and I have solved some exercises. I...

I don't how to proceed further Let $z=x+jy$ find in rectangular form: 1. $\text{Im}(z^3)$ this is where I can get to, $\text{Im}(x^3+3x^2jy+3xj^2y^2+j^3y^3)=\text{Im}(x^3+3x^2jy-3xy^2-jy^3)$ please help me.

Homework Statement There's a magnetic field B in +\hat{z}. A rectangular loop is lying in the xy-plane. Three sides are static, the 4th one is moving with velocity v along the direction of +\hat{y}, making the rectangular larger and larger. The length of this moving side of the rectangle is L...

Hello, I am trying to understand the concept of solid geometry(spheres, cubes, polyhedra etc) as a function of their co-ordinates. for example, the general ellipsoid, is a quadratic surface which is given in Cartesian coordinates by: (x^2/a^2)+(y^2/b^2)+(z^2/c^2)=1 a,b,c being the semi axis...

Homework Statement http://web.mit.edu/viz/EM/visualizations/coursenotes/modules/guide10.pdf pg: 10-17 Homework Equations The Attempt at a Solution I do not understand conceptually, why we chose the rectangular surface to take the flux over. Can anyone explain this...

Homework Statement Not exactly a homework problem, but the actual working resembles it. Basically it is a standard calculation for the magnetic field between a set of Helmholtz coils, except with a rectangular loop instead of circular ie: two identical rectangular magnetic loops (dimensions...

Hi all, It is well know that, rectangular or quadrilateral element gives better result over triangular meshes in finite element method. I know, Rectangular meshes has more discretization error, but my question is that, if i refine mesh up to 4 to 6 pixel width of screen, where i am wrong?

Homework Statement A rectangular plate of sides ‘a’ and ‘b’ is suspended from a ceiling by two parallel strings of length L each. The separation between the strings is ‘d’. The plate is displaced slightly in its plane keeping the strings tight. Find the time period of SHM. Homework Equations...

Give all the polar coordinates corresponding the rectangular point $$(-1, \sqrt{3})$$ Am i setting this up right? so would I use $$(r, \theta)$$ so $$x = rcos(\theta)$$ $$y = rsin(\theta)$$ $$r^2 = x^2 + y^2$$ so: $$(-1)^2 = (-1*\frac{2\pi}{3})^2 + (-1*\frac{11\pi}{6})$$ ?

Homework Statement Consider the circuit below. If the source υs represents a 12-V, 100-ms-long rectangular pulse that starts at t = 0 and the element values are R1 = 6 kΩ, R2 = 2 kΩ, R3 = 4 kΩ, and C = 15 μF, determine the voltage response υ(t) for t ≥ 0. Homework Equations The...

Homework Statement Let d = 0.048m, L = 0.15m, r = 0.10m in the following diagram. Assume that the current I1 = 80.0A and I2 = 40.0A. Find the net force on the rectangle of wire and the direction it points, and state the direction of the emf if the current I1 is increasing in the direction of...

Homework Statement A rectangular coil of wire has 65.0 turns and is 30.0cm by 43.0cm . Initially the plane of the coil is perpendicular to a uniform external magnetic field. It is then rotated till its plane is at an angle of 35.0∘ with that field. The magntude of the external field is 1.90T...

Homework Statement Evaluate dA, where R is the rectangular region described in 0 ≤ x ≤ 10ln7 and 25 ≤ y ≤ 50 Homework Equations dA = dxdy or dA = dydx The Attempt at a Solution I drew the rectangle on a Cartesian plane, but the problem is I don't know what the question is asking. I...

So how do I convert r=4+4cos(theta) into rectangular form? I know that r^2 = x^2+y^2 and that rcos(theta) = x. Would the start of the solution be: sqrt(x^2 + y^2) = 4+4x If yes, I don't know where to go from there.

Homework Statement Find \sin^{-1}(-2) by writing [tex]sin w = -2[/itex] and using the rectangular representation of \sin w Homework Equations Rectangular representation of \sin w The Attempt at a Solution I think my biggest problem here is I have literally no idea what the...

Tunneling from Rectangular barrier - Exponential Decay ?? Consider the Rectangular Potential Barrier. If one solves bound state Problem in this case, wavefunctions of Exponentially Decaying and rising kind are found for the Region in the Barrier. ψ = A eαx + B e-αx Yet Most Books and...

I wonder what are the advantages and disvantages of the rectangular, tapered and elliptical wing planforms.

Homework Statement r = 3sin\theta since x= rcos\theta x = 3sin\thetacos\theta and since: y = rsin\theta y = 3sin^2\theta Then I'm sort of stuck..

Homework Statement Find the corresponding rectangular coordinates for the point. (-2, \frac{5\pi}{3}) x = -2cos(\frac{5\pi}{3}) x = -2cos(\frac{2\pi}{3}) x = -2* \frac{-1}{2} = 1 y = -2sin(\frac{5\pi}{3}) y = -2sin(\frac{2\pi}{3}) y = -2*\frac{\sqrt{3}}{2} =...