Rectangular Definition and 451 Threads

For this question, I need to find the force that will be acting on a rectangular block. E = 193 x 10^3 MPa Max. Stress = 210 MPa F= 2000N The rectangular block is fixed at both ends (bolted on to another metal object) I need to find the dimensions for this block. L, length can be as...

Change (-3,3,3) to cylindrical coordinates. I'm doing r^2 = x^2 + y^2, which I find r = sqrt(18) = 3radical(2) tan(theta) = 3/-3 = 1, so theta = -pi/4 = 7pi/4. z = 3 Cylindrical coordinates are (3sqrt(2),7pi/4,3). Is this right? Correct answer to the homework says 3pi/4 for the angle, for...

Hi sorry,I still need some help on converting coordinates >.< Set up an integral in rectangular coordinates equivalent to the integral ∫(0 ≤ θ ≤ \frac{∏}{2})∫(1 ≤ r ≤ \sqrt{3})∫(1 ≤ z ≤ √(4-r2)) r3(sinθcosθ)z2 dz dr dθ Arrange the order of integration to be z first,then y,then x. I...

For some reason it is impossible for a rectangular prism to have pure rotation along one of its axises. For example, if you throw a hardback book in the air and try to spin it about its width then there is some distortion. What is the explanation for this?

Homework Statement Homework Equations Irms = \frac{Im}{\sqrt{3}} The Attempt at a Solution I'm lost on how to do a completely, whereas for b. I can find the Irms: Irms = \frac{6}{\sqrt{3}} = 3.46 mA and the average, I'm guessing is 6/2 = 3 mA? Thank you in advance!

Homework Statement So here is the Problem : I am Modelling an interesting problem for a project i am busy with. I need to find out the force exerted on a single busbar in a 3 phase system, with each phase carrying 3300A. This is mainly so that i can deduce what size of busbar supports i...

the general equation for rectangular hyperbola with vertical and horizontal asymptotes is given as : (x-h)(y-k)= some constant Is the following also an equation of rectangular hyperbola (x-h)^4(y-k)=some constant ? I am trying to find the shape of this curve,is it similar to that of...

Is it right to multiply everything on both sides first, by the (2-sin^2 θ) ? Why would you want to do that? In terms of how it should look, and what variable to solve for, what exactly is the goal here and why?

It does not explain it in any of the books ? So no clue even on how to start other than, R = X squared + Y squared

How do you find these on the unit circle: 5pi/2 ? howabout pi/8 ? Converting from polar to rectangular? It says convert (-1, pi/8 ) from polar to rectangular coordinate? But there is no pi/8 on the unit circle? If the'yre on the unit circle just use x=rcosθ and y=rcosθ another example is for...

Homework Statement A rectangular hollow conductor,open at one end of z, has a voltage impressed at z=0. On the z=0 plane, the voltage as a function of x and y is simple cosines such that V=0 at x=y=+/-L/2. All other surfaces are grounded. V(x,y)\approx f(cos(Ax),cos(By)) Calculate...

Homework Statement Is anyone familiar with the effective index method for rectangular waveguides? I have a waveguide for which the width is much greater than the thickness. I think I need to start by treating it as a planar waveguide. But I am supposed to get an effective index which depends...

Homework Statement V(x) = 0 for x < 0; V0 for 0 < x < a; 0 for x > a Particle of mass m E=V0 Asks for general solution and transmission coefficient. Homework Equations Time-Independent Schrodinger Equation The Attempt at a Solution I've found region I (the left region where x <0) to be...

Hi, I am trying to calculate maximum E-field strength in a rectangular waveguide cavity resonator at 1.6GHz. The input power is 200W while the resonator should wsupport TE101 mode. cavity dimensions are 0.131mmx0.65mmx0.134mm (WxHxL) having lossy walls made up of copper with conductivity of...

Just want to verify Laplace equation in rectangular coordinates that: \nabla ^2 \vec E = 0 \Rightarrow\; \nabla^2 \vec E = \left ( \frac {\partial^2}{\partial x^2} +\frac {\partial^2}{\partial y^2} +\frac {\partial^2}{\partial z^2} \right ) ( \hat x E_x +\hat y E_y + \hat z E_z) = 0 \hbox...

Homework Statement I need to convert this to polar form; anyone have any ideas where to start? Homework EquationsThe Attempt at a SolutionI know this is incorrect but I am a bit overwelmed on this one. any help would be wonderful! thanks! Homework Statement Homework Equations The Attempt at...

Homework Statement Consider a three dimensional rectangular infinite potential well with sides of length L, 2L and 3L. What is the energy of the first excited state relative to the energy of the ground state? The second state? The third? The fourth? Homework Equations...

Hi I want to find the magnetic field result from DC current flow through the rectangular transmission line numerically by using the finite difference. the solved equation is curl curl A =µ J , with div A=0, and J is a uniform current on the crosssection. I implement the MATLAB code , but...

Suppose that one electron from the end of the universe is emitted to the quantum rectangular barrier potential whose size amouts to galaxy size. This belongs to step potential problem or rectangular barrier potential problem? The textbook on Quantum mechanics doesn't deal with the case...

Homework Statement A rectangular coil with N = 2,000 turns that has a resistance of 7.90 Ohms is coplanar with a long wire which carries a current which depends on time according to I0 *exp(-t/tau), where I0 = 6.50 A and tau = 4.30 s. The rectangular loop has a width of W = 2.00 cm and length L...

Homework Statement "You push a rectangular loop of width .2m, length .8 m, and resistance R=200\Omega into a magnetic field (out of page) Bout=.4 T and a speed v=.2 m/s. The long side of the rectangle is parallel to the x axis. What is the current flowing in the loop?" Homework Equations I...

I am looking for a website or company that sells rectangular scientific mirrors. I have only been able to find circular mirrors. Ideally, I am looking for a 2"x1" or 3"x1". Thanks

what does this mean please: bisectrix of the rectangular coordinate system

Homework Statement Consider two rectangular loops. An outer and inner loop. Assign outer loop a length a and width b. Assign inner loop length c and width d. Apply a current to the outer loop. Determine an expression for the mutual inductance between the loops. Homework Equations...

Homework Statement A force acts on a rectangular loop of wire, pulling it out of a magnetic field. Calculate the force required to pull the loop to the right at a constant speed of 4.42 m/s. B = 0.44 T l = 0.350 m v = 4.42 m/s R = 0.356 ohms Homework Equations Fmagnetic=I*l*B...

Revision that is turning into a learning from scratch session. Some help would be welcome! (I have laso put this on the materials section of engineering). - I have a hollow rectangular beam. 0.150m by 0.110m with uniform thickness walls at 0.003m. It is 3m long. - It has a modulus of...

Hi! I've got a problem with this: Count moment of inertia for rectangular plate a x b, if you know that moment of inertia of thin rod is \frac{1}{12}ml^2 . Do not use integrals!, others mathematical functions required (I can proof this moment by integrals, but this is not issue). I know that...

Homework Statement Find I(a) and I(b) for the equaions below: 90 = -j5(I(a)) + j25(I(b)) 60 = (20+j5)(I(a)) - j5(I(b)) Homework Equations Equations in rectangular form The Attempt at a Solution I've tried solving this for one variable and then plugging the answer into the second...

Homework Statement Please see attachment. Homework Equations E=vB F=qVB The Attempt at a Solution My question is the last part "which of the following are true". I've tried these choices and all were wrong: (1, 2, 3) (1, 2) (2) (1, 3) I really am confused. I swear 1 is...

Homework Statement A rectangular loop of wire is placed next to a straight wire. There is a current of 3.5 A in both wires. Determine the direction and magnitude of the net force on the loop. Homework Equations F=BIL The Attempt at a Solution I am kinda confused here. Will the...

Sportnut: If I am using exact same aluminum material, with exact same thickness of gauge and I construct a 4ft long hollow circular tube that is 1" diameter, and I also construct a 4ft long hollow rectangular shaft that is 1" square, which would be more resistant to bending?

This is not a homework. Actual this is part of my own exercise on conversion where \vec A = \vec B \;X\; \vec C and I intentionally set up B and C so the \theta_B \hbox { and } \theta_C \;=\; 60^o \; respect to z-axis: \vec B_{(x,y,z)} = (2,4, 2\sqrt{(\frac 5 3)}) \;\;\hbox { and }\;\...

Rectangular wave guide, TE01 mode I'm looking for the equations of the electric and magnetic fields over the volume of the rectangular guide. I've managed what appear to be the correct equations for the electric field, E_y = sin\left(\frac{2\pi z}{\lambda_z}-\omega t\right)...

Homework Statement a rectangular loop of sides 25 cm and 10 cm carrying a current 15 A is placed with its longer side parallel to a long straight conductor 2 cm apart carrying a current of 25 A.what is the net force on loop? Homework Equations The Attempt at a Solution

Hey all, A friend asked me for help the other day on his QM homework. The problem regards a rectangular potential U(x) = \begin{cases} V_0 & -a \leq x \leq a \\ 0 & \text{otherwise} \end{cases}, \qquad E<V_0 I thought about this for a while and checked a few textbooks. If we solve this in a...

A particle is confined inside a rectangular box with sides of length a,a, and 2a. What is the energy of the first excited state? Is this state degenerate? If so, determine how many different wave fuctions have this energy. The relevant equations are E=Ex+Ey+Ez =((hbar^2*pi^2)/2m)...

Homework Statement I have a rectangular train wave pulse, w(t). I needed to find the Fourier transform. My work can done can be seen in the attachment. Homework Equations My question is, is there a further way to simplify my solution. The Attempt at a Solution See attachment.

Hi, I am trying to buy a magnifying rectangular mirror for a science project. While simply buying a glass mirror with magnification is available, I have yet to been able to find a mirror large enough for my purposes. It would need to be rectangular 12"X7.5" mirror with at least a 10X...

Homework Statement "The potential in the x-z plane is independent of z and given by a repeating step-function of magnitude 2(phi_0) and period 2a. The plane at y = y_0 is held at ground potential. Find the potential in teh region 0 < y < y_0." - Marion and Heald Classical Electromagnetic...

I am trying to solve something of an inverse problem for inertia, and having a real tough time with it. Any suggestions would be helpful. For a rectangular prism the mass and moments of inertia are: m = rho*A*B*C Ixx = m/12*(B^2 + C^2) Iyy = m/12*(A^2 + C^2) Izz = m/12*(A^2 + B^2)...

Hi. Sorry my spelling, because I am not English. Homework Statement In a sphere truncated sector with an angle of 60 degrees, there is a uniform charge distribution, \rho. Calculate the electric field in (0,0,0). The sector starts in z=a and ends in z = b. The sphere center is in (0,0,0)...

Homework Statement I don't know how to find the square root of a complex number in rectangular form? As in, say, \sqrt{}9-6i..my calculator can't do such an operation (yet my graphics calculator can, which can't be used in exams), so how do i go about to do this 'by hand'? I just found...

Not really homework. But I am programming a game. It is using planetary gravity to make a spaceship go into orbit. I have it so that I find the magnitude of gravity and the direction the planet is in from the ship. I need to make gravity act on the ship in the direction of the planet. I thin...

b]1. Homework Statement [/b] Consider a particle of mass m incident on a rectangular barrier with a potential V(x) = V0 for 0 \leq x < w V(x) = 0 otherwise, where V0 is a positive constant. The particle has an energy E > V0. Find expressions in...

Homework Statement A triangle is inscribed in a rectangular hyperbola such that the tangent at one of the vertices is perpendicular to the opposite side. Prove that the triangle is right angled. Homework Equations The Attempt at a Solution I am unable to draw a valid figure for...

A rectanglular loop consists of 5 turns of wire carrying a current of 2.8 A. The loop is in the x-y plane, and the direction of flow of the current is shown in the figure. The loop has dimensions a = 4 cm and b = 5 cm. Consider a uniform magnetic field of strength 3.8 × 10-4 T in x, y, or z...

Homework Statement [PLAIN]http://img710.imageshack.us/img710/3483/71071851.png Homework Equations n/a The Attempt at a Solution I understand everything except "the forces on the top and bottom segments cancel." How do I figure out that they cancel? I understand that a force...

Homework Statement Find parametric equations for the portion of the plane x+y = 1 that extends between the planes z = -1 and z = 1 The attempt at a solution z = u -1\lequ\leq1 x = ? y = ?

Convert x+y = 1 to parametric equations. I know that z = v, but after that I'm stuck.

Homework Statement A rectangular box at rest in S' has sides a'=2m, b'=2m, c'=4m. The side c' is parallel to z' axis of S'; the side b' forms an angle 45deg with x' axis of S'. S' moves with v=0.5c with respec to S, along its x axis. Find the volume of the box in S and S'. Homework...