Rectangular Definition and 451 Threads

Homework Statement (theta)= 45Degrees Homework Equations (theta)= Arctan(y/x) (x>0) (theta)= Arctan(y/x) (x<0) The Attempt at a Solution Tan(45)=y/x 1 = y/x Does that mean Y = X? :confused:

Can anyone help with how to find the analytical solution to problem involving finding the stress concentration around a circular hole in a flat plate. The plate is has tensile load on both sides.

I am missing something. The question is to find the 6 lowest energy states of a particle of mass m in a box with edge lengths of L_{1}=L, L_{2}=2L, L_{3}=2L. The answer gives E_{0}=\frac{\pi^2\hbar^2}{8mL^2}. I would have said E_{0}=\frac{3\pi^2\hbar^2}{4mL^2} . What am I missing...

If paintings were not put in rectangular frames but in triangular or hexagonal or circular frames what difference would this make to the end product? Would the artist be forced to think differently?When the Romans came to the United Kingdom in the first century AD they brought the idea of right...

Warning: I do not know the answer to this one. If this will keep you up at night, do not read on. I was asked this in a job interview a long time ago. They did like my answers, even though they were "wrong". Still here? OK. You are presented with a rectangular cake. Somewhere at an...

Homework Statement I have attached a diagram. In case you can't view it, it shows an infinitely long wire I_i = 5.00 A on the positive y direction. 0.100 m to the right, there is a rectangular loop of dimensions 0.150 m x 0.450 m, the long side is parallel to the infinitely long wire to its...

Homework Statement Find the quotient w*u, w/u, w^2 w=3(cos30 degrees + isin 30 degrees) u=2(cos 60 degs + isin 60 degs) Give answer in rectangular form.. The Attempt at a Solution I can convert polar to rectangular and back.. but trig to rectangular? Eh? I got w*u=6i... I think that...

Ok, so I've been dealing with this problem for a while and can't figure it out. (I tried to clean it up, but I don't know LaTeX, hopefully it is more clean in post #2; problem stated in #1, and my work in #2) --Consider a (plane-wave) particle tunneling through a rectangular barrier...

A rectangular room is 3.5m by 6.526m a. If baseboard molding is to be obtained to go around the perimeter of the room, calculate the correct amount that must be purchased. b. How much carpet must be purchased to cover the area?

Homework Statement Find the electric field due to a rectangular plate with charge Q, length L, width W, at a distance s<< L perpendicular to the plate. The point at that location is exactly above (with respect to the plate) the center of mass of the rectangular plate Homework Equations...

Homework Statement The rectangular loop has a mass of .15 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown. Find the maggnitude and direction of the magnetic field parallel to the y-axis that will cause...

I wish somebody could tell me if he knows articles or information about modeling circular apertures in a transverse metalic plate in a rectangular waveguide. It appears in the "Waveguide Handbook" by N. Marcuvitz, on page 238. Can anybody help me to find more information about this theme? Thanks...

Question Details: The figure shows two rectangular wave pulses traveling toward each other on a stretched string. Each pulse is traveling with a speed of 1.00 mm/s, and has the height and width shown in the figure. If the leading edges of the pulses are 8.00 mm apart at t = 0, sketch the shape...

I have a rectangular field of view (FOV) through which I am viewing a sphere at a distance such that I can only see small parts of the sphere through the FOV at a time. Usually my FOV contains part of the sphere and free space. My question is: how can I calculate the surface area of the sphere...

the question is that: A rectangular loop with width L and a slide wire with mass m are as shown in Fig. A uniform magnetic field \vec B is directed perpendicular to the plane of the loop into the plane of the figure. The slide wire is given an initial speed of v_0 and then released. There is...

Hey, In the question that I'm working on it says to resolve v1 and v2 into rectangular scalar components but i have no idea what a rectangular scalar component is and i can't find it in my textbook. if anyone could tell me what they are that would be very helpful! thanks

I'm a little puzzled with the work of a force considering rectangular and polar coordinates. In rectangular coordinates we have: (1) [F]=(Fx [i] + Fy [j]) is the force vector. (2) [dr]=(dx [i] + dy [j]) is small displacement. Then the work is: (3) W = [F] [dr] = (Fx dx + Fy dy) In...

Another doozie for me. I have been trying this one for 3 days now. I will give my first born for help to this one :rolleyes: --------------- Calculate the magnitude and direction of the magnetic field produced at point P in Fig. 28.52 by the current I in the rectangular loop. (Point P is at...

My teacher has told me I will need to be able to do these in my up and comping exam later this month. He covered the topic a while ago but I didn't quite understand. Here is an example I have. Express the polar point (6, 120 °) in rectangular coordinates. I have no idea how to start doing...

hi Everyone, I have a couple of books on heat transfer (Heat Transfer, A Practical Approach by Cengel and another one) but none of them contain any information on Nu number for vertical rectangular enclosures. I am trying to find convection coefficient (for free convection) and need Nu to...

I need to convert x^2+y^2-3cos\Theta+4sin\Theta=0 to polar. Obviously the x^2+y^2 part would = r^2, but how can I get the cos and sin part to simplify?

Hi =) I was given this problem on a test: a vector A = 2yi - Zj +3xk, was given in rectangular (cartesian) coordinates and I had to convert it to cylindrical coords. What I did to solve it was this: 1) A = 2rsin(theta)i - zj + 3rcos(theta)k 2) partial derivatives a) d/dr =...

I am at a standstill with the solution to this problem. I need to convert r^2=2cos(2 theta) to rectangular form. I know that x = rcos(theta) and y = rsin(theta) so far I have r = (2cos(2theta))/r then I substitute for r sqrt(x^2+y^2)= (2cos(2theta))/sqrt(x^2+y^2) Then...

Find the magnetic field at the center of a rectangular loop with sides 2a and 2b. well ok due to the sides with length 2a B_{A} = \frac{\mu_{0} i}{2 \pi B} \frac{A}{\sqrt{\frac{A^2}{4} + B^2}} and due to 2B sides B_{B} = \frac{\mu_{0} i}{2 \pi B} \frac{B}{\sqrt{\frac{B^2}{4} +...

CXosnider a rectangular loop carrying a current i as shown in teh figure. Point P is located a distance x from the cneter of the loop. Find an epxression for tha mgnetic field at P due to the current loop assuming that P is very far away. WIth \mu = iA = iab obtain an expression similar to...

The dimensions of a closed rectangular box are measured as 70 centimeters, 50 centimeters, and 100 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box. Answer...

Hello If you have r = 2\sin(2\theta) , how would you convert it to rectangular form? I tried doing this: \sin(2\theta) = 2\sin\theta\cos\theta which means r = 4\sin\theta\cos\theta . Then I know that r^{2} = x^{2} + y^{2} . We know that x = r\cos\theta, y = r\sin\theta . But then I...

i know that the equation for rotational inertia of a hoop is different than the equation for a solid cylinder, but what is the equation for a rectangular cube in a hoop? _ \ -> \ (|) <--is what I mean if the diagram helps at all <-

Hi again! :smile: A gardener has a rectangular vegetable garden which is 30m long and 12m wide. He traces to alleys x meters wide, similar to this: _____________________ |________| x |________| x___________ _________ |________| x |________| Determine, with x, the area occupied by...

i started to work on a problem. A point on a plane is away from 3 sequential tips of rectangular respectively 3, 4, 5 units. Find the area of rectangular. I have an image.

Please explain me:what is the main purpose to drawing the rectangular components of a vector and why we draw them thanks.

Good day everyone, I was wondering how would you determine the magnetic field within a square coil? My colleague and I are trying to write a lab up on tangent galvanometers, but all we can find are models with circular coils, and ours is square. Any help is appreciated.

Can someone help me with these problems? It's been bugging me i can't seem to solve it. Lets assume T = theta I can't seem to find a way to convert these polar equations into rectangular form. r = 2 sin 3T r = 6 / 2 - 3 sinT If possible, can someone help me with this and list it...

Here is the problem: Convert \int_{-1}^{1}\int_{-\sqrt{1 - y^2}}^{\sqrt{1 - y^2}}\;\ln\left(x^2\;+\;y^2\;+\;1\right)\;dx\;dy into polar coordinates. Here is what I have: \int_{0}^{2\pi}\int_{0}^{1}\;r\;\ln\left(r^2\;+\;1\right)\;dr\;d\theta Is that the correct conversion? I could...

What happens when a rectangular loop is dropped into a field of uniform, magnetic field B extending to infinity? The loop has a mass m and its resistance is R. It has length L, breadth b, L tending to infinity. Gravity is present in downward direction. The loop is dropped such that emf is...

This is another question that I have think for very long hours but still find the solution to this question.I have my question in the attachment that followed.

i have think very long on this question but still can't figure out what is meant by the question.I have my question and my doubt on the attachment that followed.

How do i find the period of small oscillations and length of the equivalent simple pendulum, for a rectangular plate (edges a and b) suspended at its corner and oscillating in vertical plane? T = 2pi (I/mgl)^1/2 i calculated l (length) to be (a^2 + b^2 )^1/2 ---(the diagonal) is this right...

How do i find using integrals, I of a rectangular plate with sides a and b with respect to side b? I know i have to use the equation I = integral of (a^2 dm) and i know density = m/ab but I'm having trouble figuring out the mass element. Can someone tell me what the mass element is? and...

I've used differentiation to find that a rectangular enclosure made up of a 100m fence should have four sides all 25m to be as large as possible. The function I get is 50x-x^2. As I said, differentiating this function gives me the largest area possible. But how would I go about finding how long...

What the diffraction pattern would be for a rectangular aperture of width a and height b for cases where a>b, a<b, a=b.? anybody know? thanks

Question: (Note: p=rho and o=phi) Convert p(1-2cos^2(o))=-psin^2(o) into cylindrical and rectangular coordinates and describe or sketch the surface. The part that I don't know how to do is converting the spherical equation into cylindrical or rectangular coordinates. I know all the...

Question: (Note: p=rho and o=phi) Convert p(1-2cos^2(o))=-psin^2(o) into cylindrical and rectangular coordinates and describe or sketch the surface. The part that I don't know how to do is converting the spherical equation into cylindrical or rectangular coordinates. I know all the...

Good evening. I'm having a little difficulty with the summation of rectangular areas when finding the area under a curve. Question: Using summation of rectangles, find the area enclosed between the curve y = x^2 + 2x and the x-axis from x=0 to x=3. Well, I start by dividing the interval...

A robot has a rectangular prism for a body. The body is 10cm high, 2cm wide, 2cm long, has a mass of 1kg and it’s mass is uniformly distributed. An axle bisects the bottom face of the body. On each side of the body is a wheel that rotates on the axle. The wheels have a radius of 1cm and have no...

I have the following cylindrical equation: z = r^2 cos(2theta) I am suppose to convert it into a rectangular equation. I'm stumped.

Can't seem to get my head round this question. Can anyone help please :smile: A rectangular box with no lid is made from thin cardboard. The base is 2x centimetres long and x centimetres wide and the volume is 48 cubic centimetres. Show that the area, y square centimetres, of cardboard used...

can anyone help me derive the moment of inertia for a rectangular plate, area of ab, (with the axis through the center)? i know it ends up being (1/12)(M)(a^2+b^2) but when i try it, my a's and b's end up canceling... its craziness. also, when i try the sphere, instead of (2/5)MR^2, i...

"Hi, I have a question on max vol. q. Its invloved with multivariable calculus. Q) Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid 9x^2+36y^2 + 4z^2 = 36. What i did was i found the three x,y and z-intersection points...

This equation of a sphere in spherical coordinate form: &rho; = 4sin&phi;cos&theta; converts very readily to (x-2)2 + y2 + z2 = 4 with very little effort. Now this similar equation looks to me like it should also be a sphere, but I can't seem to get anywhere with it: &rho; =...