Rectangular Definition and 451 Threads

r= (15)/(3-2cos(theta)) I'm lost! Please Help! :confused:

Hi, I have the fields for a rectangular waveguide in terms of cartesian components, that is, Ex, Ey, Hx, Hy. I need to convert these to polar components in terms of r and theta. I've done this the other way around, converted a circular waveguide field which was written in terms of r and theta...

Homework Statement For an air-filled waveguide rectangular wave guide with the top and bottom made of PEC and the left wall made of PMC and the right wall of PEC. The dimensions are a=5cm b=3m. Find the dominant mode propagating in this wave guide (a is length and b is the height) Homework...

Homework Statement F(w) is the Fourier transform of f(t). Write down the equation for F(w) in terms of f(t). A rectangular pulse has height H and total length t0 in time. Show that as a function of w, the amplitude density is propertional to sinc(wt0/2). Homework Equations F(w) =...

hi, I have a question on determining whether rectangular matrices are singular. \left[1 0 0 1 0\right] \left[1 0 0 0 1\right] \left[0 1 0 1 0\right] \left[0 1 0 0 1\right] \left[0 0 1 1 0\right] \left[0 0 1 0 1\right] The book says it's singular. But the explanation isn't very...

hello again folks, this is the last problem that I haven't gotten in this week's homework. see attached image. Homework Statement Two rectangular pieces of glass (see attached image, I painstakingly made it with a very fussy/crash-ey program) are laid on top of one another on a plane surface...

I am told in the problem that i am to minimize the amount of cardboard needed to make a rectangular box with no top have a volume of 256 in^3? I am to give dimensions of box and amount of cardboard needed. Can anyone help

Homework Statement The rectangular and polar coordinates of a point are (x,y) and (r, Theta ) and theta equals 67 degrees Homework Equations ?? The Attempt at a Solution I know nothing about this does anyone know an equation or anything PLEASEE thanks.

Homework Statement can anyone please send me the link to calculate the moment of inertia of cuboid,rectangular and triangular lamina ??(along with figure) Homework Equations The Attempt at a Solution

Hello everyone; here is the problem that I’m currently working on: =============================================== a- Find the principal moments of inertia of a flat rectangular plate (mass = 30g, a = 80 mm, b = 60 mm) that rotates about a diagonal with velocity ω = 15 rad/s. b- What are...

Hello, I just have a question about dot products of different coordinate systems. I was wondering if anyone can explain why unit vector z(rect.) DOT unit vector r(spherical) is equal to cos(theta). As well, I was hoping if anyone could explain z DOT (Theta) = -sin(theta)?

THe following exercise deal with the steady state distribution of the temperature in either 2-dimensional plates or 3-dimensional regions. Problem: A 10X20 rectangular plate with boundary conditions . at the lower side where there is poor insulation the normal derivative of the temperature is...

1. Find the resultant of two forces of 40 lbs. and 50 lbs. acting at an angle of 60○ between them. 2. Three forces of 30 gms, 50 gms, and 60 gms respectively act at an angle of 120○ from each other. Find the resultant by rectangular-resolution (a) by making the 30-gm force lie on the x-axis...

I'm given a complex function in the exponential form: 2.5j e^(-j40*pi) Transforming this into the standard Cartesian form is pretty straight forward, but the extra j multiplying the 2.5 is kind of throwing me off. I don't know if I did it right, but this is what I did: 2.5j...

Homework Statement A particle moves with position as a function of time in seconds given by the vector ~r = (5t^3, 3t − 6t^4)m. What are the rectangular coordinates of the particle’s position at t = 2.5 s? What are the rectangular coordinates of the particle’s velocity at t = 2.5 s...

Homework Statement Convert into rectangular coordinates: r = \frac {1}{1-cos(theta)} Homework Equations The Attempt at a Solution r = \frac {1}{1-cos(theta)} r –r(cos) = 1 (why can't I get a minus sign to display correctly? - I'm trying to show r -...

Homework Statement Convert into rectangular coordinates: r = tan(theta) Homework Equations The Attempt at a Solution r = \frac {sin}{cos} I used r = \sqrt{x^2+y^2} and cos = \frac {x}{r} x = (r)(cos) sin = \frac {y}{r} y = (r)(sin)...

Homework Statement How much force is required to tip an object? Given- It is a rectangular prism 1m tall, .5 m wide, 2m long. The center of gravity is .75m from the ground vertically and otherwise centered. The force can be applied wherever it is easiest to solve the problem. Homework...

COMSOL Rectangular mesh (VERY URGENT) I am trying to modify the mesh of a COMSOL simulation. I need to make my mesh rectangular instead of triangular that COMSOL defined already. Thanks. Engin

Homework Statement A WxH rectangular loop of wire, with resistance R, lies on a table a distance s from a separate long straight wire carrying a current I. If the loop is pulled to the right, parallel to the wire, with the speed v, then what is the magnitude of the current induced on the...

1. I can't seem to find a formula to figure out the area of an upright rectangular glass rod. Can someone point me in the right direction? 2. The Attempt at a Solution

Homework Statement change from polar to rectangular coordinates Homework Equations \cos{theta}+r^2\sin{theta}=\tan{theta} The Attempt at a Solution I got x^2 + y^2 + x + y = \frac{y}{x}\sqrt{x^2+y^2} does that look right?

Homework Statement r^2= 2cos^2 θ+3sin^2θ Homework Equations X= r cosθ y= r sinθ The Attempt at a Solution √r=√2cos^2 θ+3sin^2θ r = 2 cos θ+ 3 sin θ r = 2x + 2 y. I doubt that i even got close to the correct answer so I like to ask anyone who knows how to deal with this...

Homework Statement Hi, I need to calculate the voltage drop in an n by m grid. There are resistors 4 resistors connected to a square; R1 for horizontals and R2 for verticals. There's a voltage applied at point B and point A is grounded. I need to create a MATLAB function that will solve for...

1. A rectangular tank 2.0 m by 2.0 m by 3.5 m high contains gasoline, with a density of 0.68E3 kg/m3, to a depth of 2.5 m. What is the gauge pressure anywhere 1.2 m below the surface of the gasoline? 2. P=Ps + Pl Pl=density (g) (h) 3. I'm sure this is an easy problem, but I...

Homework Statement Find the dimensions of the rectangular box of largest volume that can be inscribed in a sphere of radius 1. Homework Equations v=w*l*h, Set the partials equal to 0, then solve a system, etc. The Attempt at a Solution I'm really just unsure of the constraints that...

I want to find the moment of inertia (a formula) for a beam rotating around the center of a face. In other words, if I'm using http://www.engrasp.com/doc/etb/mod/util1/solidprop/sp005_rectprism/rectangularblock.gif", then I want to find its moment of inertia if its rotated about the POINT Zc, as...

Hi everyone.. I'm trying to prove the following proposition: The force exerted on the wall perpendicular to the x-axis by a particle of mass m contained in a rectangular box of dimensions a, b, c is given by the negative of the expectation of the derivative of the Hamiltonian wrt a: F =...

A rectangular concrete-lined channel is 2m wide with Manning's n 0.012 and a bed slope of 0.0025 m/m. Obtain the depth of flow when the discharge is 9m^3/s. Q=V.A I have the discharge but how do I calculate the velocity without the area ?? Once I have the velocity I should be able to work it...

Homework Statement Considering a rectangular prism bounded by six rectangular faces (x=2, y=0.5, z=1) and a cylinder (r=0.5, heigh h=2) that cut the rectangular prism in x=1 y=0 and z=0 with a inclination of 45 grads in y and z. Which is the area of each faces for the rectangular prism. I...

How will you get a table cloth of 12x12 units for a square table from a rectangular cloth of size 16x9 units in a single cut and placing two pieces together ?

Homework Statement A rectangular building is being designed to minimize heat loss. The east and west walls lose heat at a rate of 10 units/m^2 per day, the north and south walls at a rate of 8 units/m^2 per day, the floor at a rate of 1 unit/m^2 per day, and the roof at a rate of 5 units/m^2...

Homework Statement A rectangular coil of 150 turns has dimensions of 23 x 70 cm and is located in a uniform 3 T magnetic field. In 1.2 s, the plane of the coil is rotated from a position where it makes an angle of 15° with the magnetic field to a position where it makes an angle of 72°...

A particle of mass m moves in a "central potential," V(r), where r denotes teh radial displacement of the particle from a fixed origin. a) What is the (vector) force on the particle? Use spherical coordinates. We have F = -\nabla V = -\frac{\partial V}{\partial x} \hat{i} -...

Hi guys, here's a question i thought i knew how to solve but somehow it doesn't work. been trying and trying for almost a week :-( here it is: "A thin wire is bent in the form of a rectangle with length l = 12 cm and width w = 10 cm. The wire is charged up to a uniform charge density of...

Homework Statement Convert r=3/(4cos\theta-sin\theta) to rectangular form Homework Equations r=\sqrt{}x^2+y^2 The Attempt at a Solution 4x-y=3 ?

changing polar equations to rectangular equations? Can somebody please explain to me, how I would convert: ?=?/2 into a rectangular equation? Along with: r=sin?, r=6cos+sin?, r(squared)sin2?=2 Your help would be greatly appreciated!

Hi, I had a question on CG. I have a rectangular frame (say made of square tubes) and have a weight fastened to its lower arm (as shown in the attached pic.), which is not fastened on the center of the lower arm but is offset. however, the CG of the weight is in the same line as the pick...

So I know there is an upper cutoff frequency (at least in the microwave band) for a rectangular waveguide. However for the life of me I can't find why one would exist in the equations, the internet is full of references to it based off of the dimensions of the waveguide, but I'm curious whether...

[SOLVED] Magnetic Field in a Rectangular Conducting Loop Homework Statement Figure 31-64a shows a rectangular conducting loop of resistance R = 0.010 , height H = 1.5 cm, and length D = 2.5 cm being pulled at constant speed v = 55 cm/s through two regions of uniform magnetic field. Figure...

[SOLVED] Emf in a rectangular loop Homework Statement A rectangular loop (area = 0.15 m^2) turns in a uniform magnetic field, B = 0.16 T. When the angle between the field and the normal to the plane of the loop is pi/2 rad and increasing at 0.70 rad/s, what emf is induced in the loop...

Homework Statement Evaluate the following integral: \iiint \,x\,y\,z\,dV Where the boundaries are given by a sphere in the first octant with radius 2. The question asks for this to be done using rectangular, spherical, and cylindrical coordinates. I did this fairly easily...

please, i want to be sure of my password and user name can it be posted to email? also, idon't know how to submit questions can the guide lines be posted as well? Thank you. A rectangular coil, carrying a current of 400pie amperes, lies in the z=0 plane with its corners at the points...

Find the rectangular form of the complex number z=a+bi which has modulus 2 and principal argument theta = -pie/6 2cos(-pie/6) to get length of x =sqrt3 What is the method used to get an answer in this form instead of decimal form (1.732) ?

rectangular plate bending... I am designing an endplate for a spinal disc implant as shown in the image below. http://img155.imageshack.us/my.php?i...ndplatenb5.jpg" I need to determine a suitable thickness of plate h. I thought about looking into winkler foundations to begin with but i...

Homework Statement Two thin rectangular sheets (0.26 m 0.35 m) are identical. In the first sheet the axis of rotation lies along the 0.26 m side, and in the second it lies along the 0.35 m side. The same torque is applied to each sheet. The first sheet, starting from rest, reaches its final...

This is more of a conceptual question. I'm looking for a "physical argument" as to why the angular momentum of a classical particle about the center of a 3d box wouldn't be conserved, as opposed to spherical well in which orbital angular momentum is a constant.

I am currently trying to learn about pressure transducers. There are two configurations which have been suggested for a particular pressure transducer -- 1) a circular diaphragm strain gage and 2) a rectangular diaphragm strain gage. Each configuration has four strain gages. For 1) there are...

Hello All, this is my first post, and while I'm a newb to the forums I'm not a newb to Optics. However, I have a very light background in low level electromagnetics, I'm more of a network design person. I'm working on a very very long term personal project to understand optics better and I've...

Homework Statement There is a rectangular prism of uniform mass distribution with lengths of a, b, and c (b>a>c). Calculate it's rotational inertia about an axis through one corner and perpendicular to the large faces.Homework Equations I = \int r^2 dm r^2 = x^2 + y^2 + z^2 \rho =...