Rectangular Definition and 451 Threads

Hello , What is the electric field inside a hollow rectangular conductor of length ( L ) ?

Hello physicsForum.. I am trying to make a 2d physics engine for my game all on my own but I am stuck in the very basic problem. My problem is this.. If there is a rectangular body (with negligible depth since i am working on 2d) is present in free space as in attached file and a force of...

Is there a name for a transformation using the orthonormal base s_k(x)=\lceil \sin kx \rceil,\: c_k(x) = \lceil \cos kx \rceil \quad ? So basically a Fourier transform or Fourier series using periodic rectangles. What are the properties? Is there some kind of convolution theorem?

The steady state temperature $u(x,y)$ in a rectangular plate $0\leq x\leq L$, $0\leq y\leq M$, is sought, under the condition that the edge $x = 0$ is maintained at zero degrees, $x = L$ is kept at $u(L,y) = y$ degrees, and the edges $y = 0$ and $y = M$ are insulated. The appropriate...

No matter how or what strategy I try, I can't get the optimum value for $x$ in the following equation: $$V=4x^3-60x^2+200x$$ Let V=Volume of a rectangular prism, so: $$V'=12x^2-60x+200$$ Set V'=0 to get turning point $$12x^2-60x+200=0$$ The answer given in my text is when $$ x=2.11...

Hello everybody, I am solving a 2D problem of thermal stresses in a rectangular plate in which temperature is changing only y direction. Plate has fixed displacement conditions. Could anyone help me to find out analytical solution of thermal stresses for my problem? Does anyone suggest me...

Hi there, I'm trying to create a sheet that produces a uniform magnetic field,using either rectangular or cylindrical neodymium magnets. I can't tell you much abut their strength, but they would be the common type purchased from a science/hobby shop. Dimensions for cylinder are 10mm dia x...

Homework Statement An equation is given in spherical coordinates. Express the equation in rectangular coordinates. r2cos2∅=z So first thing I did was used a half angle formula r2 (cos2∅-sin2∅=z Now, I'm stuck. The answer is x2-y2=z Guidance is appreciated (: Homework...

Hello all. I am trying to change: E = (1/r) ar To rectangular coordinate system. Where ar is a unit vector. So I know r = √(x^2 + y^2) i also think ar = ax+ay, where ax and ay are unit vectors along the x-axis and y-axis respectively. So that would give me: E = (1/√(x^2 + y^2)) (ax...

When white light passes through a rectangular prism, will dispersion occur? Will emerging light ray comes out as a single white light ray or as seven different colors?

Translate the rectangular equation to spherical and cylindrical equations. http://www.texify.com/img/%5CLARGE%5C%21x%5E2%2By%5E2%2B2y-3x%2Bz%5E2%3D25.gif

Homework Statement 1.21 Express in cylindrical components: (a) the vector from C(3, 2,−7) to D(−1, −4, 2); (b) a unit vector at D directed toward C; (c) a unit vector at D directed toward the origin. I just want to know (a). And the solution from the book is attached, too...

Express in the following form z = x + iy: q. ln(i) This question came up in an exam i had today.. don't think i answered it correctly though! i went for the euler relation: e^i*θ = cos(θ) + i*sin(θ) next i set θ = 1 and found the natural log of the equation twice ln(i) = ln(ln(cos(1) +...

Some Background I am working on a soccer robotics project called RoboCup (perhaps people here have heard of it), which revolves around building a fleet of autonomous soccer robots that play against each other (league website - http://small-size.informatik.uni-bremen.de/ ). The kicking...

Homework Statement I'm not grasping how to convert a surface with known rectangular graph to a parametric surface (using some polar techniques, I assume). I would appreciate it if someone could clarify the conversion process. One of the examples is as follows: A sphere...

The electric field in a cubical cavity of side length L with perfectly conducting walls is E_x = E_1 cos(n_1 x \pi/L) sin(n_2 y \pi/L) sin(n_3 z \pi/L) sin(\omega t) E_y = E_2 sin(n_1 x \pi/L) cos(n_2 y \pi/L) sin(n_3 z \pi/L) sin(\omega t) E_z = E_3 sin(n_1 x \pi/L) sin(n_2 y \pi/L)...

Hello, I have a rectangular object with the following properties: Mass (m) = 1 units Moment Of Inertia (I) = 4.41 units initial velocity (v_{i}) = (5, 0) initial angular velocity (w_{i}) = 0 If the block collides with a solid rigid wall with distance vector r = (1.1, 1.4) from the...

Homework Statement Given a homogenous rectangular surface, sides of length a and b=4*a, with a circular hole in x=a and y=a/2, find the center of mass. Homework Equations R=1/M*Ʃmi*ri , M= total mass, r= position vector area of a circle = pi*r2 , r being the radius The...

Homework Statement A rectangular coil of 80 turns has an area of 0.01m^2. It rotates @ 3000rpm about one of its in plane axes, in a uniform magnetic field having B=1.5T. Calculate the rms voltage generated. Homework Equations 1 Tesla= 1 Weber/m^2. Change in flux of 1 Weber per second...

Homework Statement I'm trying to solve the vibrations of a rectangular membrane with a rectangular hole inside. Both the inner and outer edges are fixed. I know i have to use the wave equation, but how do i write the boundary conditions in orden to incluye the hole? Any ideas? F.Y.I. I...

Homework Statement Elimnate the parameter to find a rectangular equation of the curve. x=sin t, y= csc t Homework Equations I believe trignometric identities are relevant to this problem. cscx=1/sinx The Attempt at a Solution csc x =1/ sin x thus y=1/x Is this the answer...

Hey guys, this is just a conceptual question so i don't think the scheme applies? I've got a circuit with a potential difference, when I use the right hand rule to determine the direction of the magnetic field created by the wire of any side of the rectangle, do I point my thumb (direction of...

Homework Statement Connect a battery to a solenoid A cylindrical solenoid 40 cm long with a radius of 8 mm has 250 tightly-wound turns of wire uniformly distributed along its length (see the figure). Around the middle of the solenoid is a two-turn rectangular loop 3 cm by 2 cm made of...

Consider a toroidal structure with a rectangular cross-section. If the toroid is defined by the surfaces r = 1cm and r = 4cm and the planes z = 0 cm and z = 2 cm, and the surface current density on the surface defined by r = 4cm is given by -60az A/m. (a) Specify the current densities on...

Homework Statement The point is (0, -8, 0) r≥0 0≤θ≤2∏ 0≤\varphi≤∏ Homework Equations The Attempt at a Solution So here is what I've done so far: I know that r=8 because x and z are 0 I know that θ=∏/4 or 3∏/4, but which one? both of these satisfy the following equation...

Homework Statement A rectangular loop of wire with dimensions 2.32 by 7.91 and resistance 0.557 is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude 3.01 and is directed into the plane of the following figure . At the instant when the...

"Find the most economical dimensions of a closed rectangular box [. . .]" Homework Statement Find the most economical dimensions of a closed rectangular box of volume 8 cubic units if the cost of the material per square unit for (i) the top and bottom is 5, (ii) the front and back is 2 and...

Homework Statement A rectangular loop with dimensions 4.2 cm by 9.5 carries current I. The current in the loop produces a magnetic field at the center of the loop that has magnitude 5.60×10−5 T and direction away from you as you view the plane of the loop.Homework Equations...

Homework Statement A rectangular coil of 90 turns has dimensions of 22 x 65 cm and is located in a uniform 1 T magnetic field. In 1.7 s, the plane of the coil is rotated from a position where it makes an angle of 19° with the magnetic field to a position where it makes an angle of 64°...

I am currently trying to provide a mathematical model that describes the flow through a diverging square pipe. I am trying to simplyfy the navier stokes equations by usings assumptions but am unsure if my current progress is correct. The problem is as follows: Fluid enters a section of a...

Homework Statement Find the area between y= 1/(x2+1) and the x-axis, from x=0 to x=1 The Attempt at a Solution so when x=0, y=1 and when x=1, y=1/2 next i plot the points, so the intersection of the given equation is (0,1) and (1,1/2) Yh= Y-higher= 1/(x2+1) Yl= Y-lower= 0 the...

Homework Statement A rectangular container partly filled with water up to height , after being slightly disturbed , the urface of water begins to slosh . Assume that the water surface remains practically flast during sloshing , find the time period of the sloshing mode. take width to be...

Homework Statement A circuit consists of 7 sections of wire. The figure looks like a rectangle of length 9cm and width 5cm with a circle of diameter 3 cm cutting right through the middle of one of the 9cm sides so that the two sides of the circle are in parallel. Each of the sections of wire...

http://en.wikipedia.org/wiki/Squared_square It is known that simple perfect squared squares exist, with the lowest one being of order 21. It is also known that no simple perfect cubed cube exists, for the smallest cube would, again, require cubes atop it that form another squared square...

I'm worried about the process of solving this problem, can anyone help me? We are to make a rectangular box, including the top, that has a volume of 144 cubic inches and for which the base is twice as wide as it is deep. The bottom, which must be strong, is made of a material that is three...

Hi, I am looking for a formula that calculates self inductance and capacitance of rectangular spiral coil, i came across many formulas for helical coil and circular spiral coil but couldn't find one for rectangular coil, any help is highly appreciated. Thanks

Homework Statement A uniform rectangular wood block of mass M, with length b and height a, rests on an incline as shown. The incline and the wood block have a coefficient of static friction, μs. The incline is moved upwards from an angle of zero through an angle θ. At some critical angle the...

I'm uneducated in Physics so I'm not sure where to begin with this. I want to build a vacuum chamber that is rectangular and fairly flat. It will measure 48"X96"X8" I plan on constructing it from clear polycarbonate sheet on one face (would clear acrylic be a better choice?) and aluminum sheet...

Consider the system on the attached picture showing a rectangular plate attached to a pole by two screws - one in A and one in B. Now to figure out the condition for equilibrium one would calculate the torques around point A and B to find that one screw must be pulling and the other one pushing...

Homework Statement A circular disk with a rectangular hole has a radius of 0.620 m and mass of 0.470 kg. It is suspended by a point on its perimeter as shown in the figure. The moment of inertia about this point is I_p = 1.60E-1 kgm2. Its center of mass is located at a distance of s=0.120 m...

I am doing some research involving solenoids of varying aspect ratios, and I'm looking for some equations I can use to back it up. I have three different solenoids of the equal n (where n=N/L), with different shapes and different cores/plungers, and I am comparing their forces by testing them...

Homework Statement Dimensions: length - 400 mm, width - 125 mm height - 50 mm thickness - 3 mm included 6 holes for m12 bolts at the top, 4 holes for m6 bolts. will this section be able to hold a 30kg floodlight. Homework Equations The Attempt at a Solution still trying...

Homework Statement Given a rectangular loop of length C by length D (C >> D) through which a current I flows, calculate the self-inductance L of the loop (consider only the long sides of the rectangle). Homework Equations Self-inductance: L = \frac{N \cdot \Phi_B}{I} magnetic flux: \Phi_B =...

Homework Statement Convert the polar equation: r = \frac{2}{ 2\,\sin \left( \theta \right) -3\,\cos \left( \theta \right)} to rectangular form Homework Equations x^2 + y^2 = r^2 x = r * cos(theta) y = r * sin(theta)The Attempt at a Solution I tried to to use the x = r cos(theta)...

Homework Statement How do you convert the rectangular coordinate points (1, -2) to polar form? note: rectangular is (x,y) polar is (r, theta)Homework Equations r^2 = x^2 + y^2 , x = rcos(theta) , y = rsin(theta) , tan(theta) = y/xThe Attempt at a Solution So basically, I tried getting it to...

Hi, Calculate the dimensions of a solid rectangular beam using the information below: Max Bending Moment= 8280Nm Ze = 36cm^3 Allowable Stress = 230MPa d = 2b Stress = moment/section modulus

[/itex][/itex]Homework Statement A battery consists of a cube of side L filled with fluid of conductivity s. The electrodes in the battery consist of two plates on the base at y = 0, one grounded and one at potential V = 12 Volts. The other sides of the battery casing are not conductive...

Homework Statement An electron enters in a finite rectangular potential well of length 4 angstroms. When the entering electrons have a kinetic energy of 0.7 eV they can travel through the region without having any reflection. Use this information to calculate the depth of the potential well...

Homework Statement See figure attached. Homework Equations The Attempt at a Solution I have some concerns about his solution for part a). I agree with how he's evaluated Ampere's law to find the field due to one of the strips at any point between the plates, but if you want...

Hi, I have the following 3 simultaneous equations to solve for the currents I1, I2 and I3: I1(0-j5) + I1(5+j5) - I3(5+j5) - 20 = 0 I2(5+j5) + I2(0-j10) + I3(0-j10) - 20 = 0 I1(0-j5) + I3(10+j0) - I2(5+j5) = 0 Does anyone have the link to any online software I could use to solve the...