Derive Definition and 591 Threads

When deriving equations, do you look at the diagrams and derive the equations from there. Could you please tell me how you would derive the equations?

Homework Statement Starting with the Planck distribution R(\lambda,T) for blackbody radiation. (a) Derive the blackbody Stefan-Boltzmann law (ie total flux is proportional to T4) by integrating the above expression over all wavelengths. Thus show that R(T) =...

Homework Statement The motion of various shaped objects that bob in a pool of water can be modeled by a second order differential equation derived from F = ma. The forces acting on the object are: 1)force due to gravity, 2)a frictional force by water, 3)and a buoyant force based on...

[FONT="Arial Narrow"]:smile:Hi I have been wrestling with this situation for a while, trying to derive an equation for it...A sphere is placed in a fluid of viscosity n and density p, outside any gravity. The sphere is instantly beamed out (perhaps by Capt Kirk?). At what volume rate will the...

Homework Statement Is there a univeral conversion formulae to convert Azimuth and Elevation to Lat Lon or Cartesian X,Y,Z? Homework Equations So far, I have only been able to source out and successfully convert Cartesian X,Y,Z to Lat Long Alt. The Attempt at a Solution No findings...

Hi, I was wondering why the wave-function in quantum mechanics is complex. There are a lot of threads in the physics section and I've downloaded a lot of papers, but they seem quite technical. So I'd like to examine the following idea (sorry if I use sloppy terms ;) ): I have an orthonormal...

hello suppose a eqn is given as y=x/(ax+b). which we can linearize as: (1/y)=a+b/x and therefore Y=A+BX where A=a, B=b and X=1/x .Another example is y=ax^b this can be written as ln y=ln ax^b or ln y=ln a+bln x therefore Y=A+bX where Y=ln y,A=ln a and X=ln x thus it is linearized now. I...

Hey guys was hoping someone could give me a hint for the derivation of Newton's Law of cooling stated in the following equation form:http://img263.imageshack.us/img263/3143/a6e5a27835e9e5738016606.png http://img716.imageshack.us/img716/8728/75784887.jpg Thanks in advance!

Homework Statement How do you derive the following equation given I/Io= (I/N2)[(sinNØ/2)/(sinØ/2)]2 given that Ø= (2πdsinΘ)/λ Homework Equations Ø= (2πdsinΘ)/λ d=λ/sinΘ The Attempt at a Solution I have tried substituting Ø into the equation as well as d=λ/sinΘ, but I...

Hello, I'm having trouble to derive Eq. (3.110) in Peskin's QFT book. In the book, it's said to use u(\Lambda^{-1} \tilde{p})=\Lambda^{-1}_{1/2} u(\tilde{p}) But I ran into trouble to derive this. Here is my try: The equation is equivalent to u(p)=\Lambda^{-1}_{1/2} u(\Lambda p) To...

Please derive equation 2.27 in Goldstein(3rd ed.)

[b]1. The problem statement, all variables and given/known For a a uniformly charged sphere of radius R with total charge Q, show that the potential energy of a point charge q' varies with r U(r) = Qq'/4\pi\epsilonR * (3/2 - r2/2R2 if r < R Homework Equations \DeltaU = - \intE(r)q'dr...

Homework Statement Derive p(r) = \frac{A}{r}e^{j(\omega t - kr)} from pV = nRT Homework Equations The Attempt at a Solution From ideal gas law I have p(r) = \frac{nRT}{V} R and T are constant, so I can pull them out now and replace them with A. If V is the volume of a spherical shell of...

Homework Statement The problem is to find at what distance the ball has to be placed at on a ramp given a certain angle measurement of said ramp. The cup's position will be given a few minutes prior to testing so there are more unknown variables. Table Height: .73M Cup Height: 10cm Angle...

Homework Statement I have attached a jpeg image of a karnough map of a rs flip flop. How can i derive the logic equation? Homework Equations The Attempt at a Solution

Homework Statement A regular pendulum is swinging back and forth. Assuming it starts from a horizontal position, find an expression for its tangential velocity. (I don't know if the question is posed right, I just asked myself it as a challenge) 2. The attempt at a solution using a freebody...

Homework Statement The mass of a rocket, including a full chamber of fuel, is M. Its net mass without fuel is m. The products of combustion are ejected with velocity c. If the rocket starts from rest, derive Ciolkovski's formula. Homework Equations N/A. This is actually from differential...

Hi, I don't know if this should go in a Math forum or a Programming forums, but y'all here seem quite handy with mathematics, so I'll give it a shot. If this is totally not what y'all are about, just let me know. I have two computer images... one of them is an "original" image. The other one...

Homework Statement A uniform stick of mass m and length L, initially upright on a frictionless horizontal surface, starts falling. The circle at the center of the stick marks the center of mass. Derive an expression for the speed of the center of mass as a function of y and θ if the stick falls...

Homework Statement Derive the period of a sphere oscillating in a hemispherical concave surface at small angles. Homework Equations Net Torque = I x alpha Delta E_m = 0 The Attempt at a Solution The thing is, tried using the conservation of mechanical energy to get an expression...

Homework Statement Derive the Oseen tensor from the Navier-Stokes equation, Consider an incompressible fluid where the velocity field \vec{v}(\vec{r},t) is given by \nabla.\vec{v}=0 (1) Assume inertia forces are negligible. Homework Equations The Navier-Stokes eq becomes...

Homework Statement Two wires are tied to the 300 g sphere shown in figure. The sphere revolves in a horizontal circle at a constant speed of 6.50 m/s. What is the tension in the upper wire?What is the tension in the lower wire? Write an equation for the sum of the forces along y. Use it to...

Homework Statement I am trying to derive the transfer function for the circuit (figure 6). I have what the final transfer function is supposed to be (figure 7) but I can't derive it. Homework Equations ((v2+) - 12)/12k + (v2+)/12k + ((v2+) - v1)/c2= 0 (v2-)/c1 + ((v2-) - Vout)/15k =...

Homework Statement A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume \rho Derive the expression for the electric field inside the volume at a distance r from the axis of the cylinder in terms of the charge...

Homework Statement Starting from: vg=vp+k(dvp/dk) show that the group velocity can also be expressed by vg=vp-λ(dvp/dλ). Homework Equations I'm told that vg=vp+k(dvp/dk) with vg=group velocity and vp=phase velocity. I also know that k=(2π)/λ and ω=2πf. The Attempt at a Solution I...

Hi guys, I was reading the derivation of ficticious force due to moving frame of reference however i don't understand how they did it.There wasn't detail explanation for slow learners like me so i was wondering does anyone know where i can read up on this or give me some clue where i can start...

i recently started my calculus III course but i was stuck with the derivative part when i derive a real number to the power x ( like 2^x) and also when deriving x^x. does anybody have an idea or a link in which these kinds of derivatives can be solved. thanks for ur help

Homework Statement Derive the following expression for calculating the isothermal change in Constant Volume Heat Capacity: (dCv/dV)T = T(d2P/dT2)V Homework Equations The Attempt at a Solution I have no idea, please help

For some reason I have been extremely curious of how Newton derived his mathematical law for gravitation. You know F= \frac{GMm}{r^2} So the first thing I did before i posted this was search Google and I foundhttp://www.relativitycalculator.com/Newton_Universal_Gravity_Law.shtml" . It...

These 2 questions are confusing me, I have some idea about what to do, can someone help? Question 1 Homework Statement Consider a circular track with a radius of 200 meters, suppose it takes 2 minutes to run from her starting point to the opposite side of the track. What is the magnitude...

I am currently studying a great text Elementary Differential Equations and Boundary Valued Problems 9th edition; and we have come to chapter 5 and are studying Ordinary Points, Singular Points, and Irregular Points. (get the point?) Anyway, I did see these mentioned,, this...

Homework Statement Derive sin^2 + cos^2 = 1 Homework Equations Use cos 0 =1, cos (x+y) = cos x cos y - sin x sin y Earlier someone posted this same question, but I still don't understand it so please help

Can someone please explain the steps to derive this? I've seen it everywhere, but the explanation is never given. My confusion arises from the second line. In EVERY math book I've ever picked up, whenever you take a derivative, it is ALWAYS with respective to something, i.e y w.r.t x, or...

If the covariance matrix \mathbf{\Sigma} of the multivariate normal distribution is invertible one can derive the density function: f(x_1,...,x_n) = f(\mathbf{x}) =...

(gamma)ma=F-[F.(beta)]beta How derive this?

Homework Statement how to derive this equation? and Homework Equations The Attempt at a Solution I try derive it that to cut out high degree part such as delta_R1*delta_R2 because my teacher told that is very small and near to zero. but I can't made it to that...

I've seen one derivation on Feynman Lectures on Physics, but the derivation is not really rigorous(he took a very special case for the derivation),I googled about the topic and couldn't find a satisfactory one. So can anybody give me a rigorous one? Thanks in advance

Homework Statement So I made a spring launcher that will fire marbles. I need to derive a general formula for finding range for any given angle and x value.Homework Equations 1) v22=v12+2ad 2) Ek=Es 3) 1/2mv2=1/2kx2 4) d=v*t This projectile was shot from 1.1m off of the ground. The Attempt at...

Hello everyone, During the last few days I've been working to solve a "small" problem I hope someone here might be better at than I am. I'm writing a function that returns the state vectors of an orbiting body of neglible mass based on the orbital elements semimajor axis, semiminor axis...

Homework Statement Derive the following inequality. Homework Equations x^{2}+xy+y^{2} \geq 0 The Attempt at a Solution I don't know how to get started. How do you derive inequalities? I'm not looking for the answer, just general tips.

(\textbf{q}\bullet\nabla)(\textbf{p}\bullet\nabla)\frac{1}{r} = -(\textbf{p}\bullet\textbf{q})\frac{1}{r^{3}} + 3(\textbf{p}\bullet\textbf{r})(\textbf{q}\bullet\textbf{r})\frac{1}{r^{5}} r is distance between field point and dipole source, \textbf{p} is dipole moment, and I believe \textbf{q}...

How may I derive y=cos^3(sinx)? I thought simply just y=3cos(sinx)^2(cosx)... Answer given is -3cosxsin(sinx)cos^2(sinx) but no idea how to get to that.

Homework Statement i need to derive the ideal gas law Homework Equations this is the equation to end with. PV=NkT The Attempt at a Solution I am not entirely sure where to start with this derivation. I believe Newton laws. where your going to have Fx= Px/t anyone...

Initial Velocity of Projectile given: - let theta be: B -equation for: (E1)horizontal component is x = vxt; where vx= v0cosB (E2)vertical component is y= y0 +vyt - (1/2)gt(squared); where vy = v0sinB using these components an equation of initial velocity{v0} =...

Can general relativity derive from superstring theory?

How do you derive this (E=v/d)?

Investigating how a car bounces with the framework of an idealized model. Let the chassis be a rigid, square plate, of side a and mass M, whose corners are supported by massless springs, with spring constants K,K,K and k < K (the faulty one). The springs are confined so they stretch and compress...

I've been looking everywhere for a tutorial or lesson on Parametric equations and can't find one that shows how to derive the actual equations. Either they show how to eliminate the parameter or sketch the graph. Let's say you had a function like y = x^2 + x - 3 What would you do to find the...

So I know that sine of an angle is the side opposite of the angle in a right triangle divided by the hypotenuse. What i want to know is: if i have an angle in a right triangle how do i find the sides of the triangle so i can find Sine. I spent my study hall trying to figure it out and this is...

Is it possible to derive Heisenberg's Uncertainty principle just using Schrodinger Equation? If yes, is there any source that you can refer me to?