Method Definition and 1000 Threads

Homework Statement The problem is a cantilive beam of length L with a triangular uniform load or W. The solution is to find the slope and deflection at the end by moment area method. My solution is not matching the textbook solution of wl^3/8EI and 11wL^4/120EI Homework Equations First...

Homework Statement Find the general solution by finding the homogeneous solution and a particular solution. y'' + 4y' = x Homework EquationsThe Attempt at a Solution First, I found the corresponding solution to the homogeneous differential equation: y'' + 4y' = 0 r^{2} + 4r = 0 r_1 = 0...

Like if number is too big then normal division is very much tedious task to do

hi guys, my professor told me in the class that when we would like to determine green function there are two general method i.e using image charge and using orthonormal eigen function. However I don't understand what are the specific differences between them. Anybody can help me? Moreover in the...

Can someone please help me understand how two-antenna method is used to measure gain of an antenna ? I could't even find literature on it, please if anyone could even suggest any document that would also be great. Thanks.

Homework Statement measure the velocity of sound in the air using tuning fork and a pipe closed at one end method a: End Correction involves applying a correction factor to the first resonant length based on the diameter of the tube used. method b: Second Resonant Length involves finding two...

Homework Statement So this is more of a general question as I'm trying to follow the book's way of solving the problems and it's not working. This is what the book says: Always assume the unknown member forces acting on the joint’s free-body diagram to be in tension ; i.e., the forces “pull”...

when i use this MATLAB code but with rectangular pulse shape instead of chirped pulse i didn't get the predicted output , so is there a limitation with this method in case of rectangular pulse or the MATLAB code is wrong...

Homework Statement Use the reduction of order metho to find a second linearly independent solution. What is the general solution of the differential equation? y'' - y = 0 y_1(x) = e^x Homework Equations Reduction of order formula The Attempt at a Solution First, I set: y = ve^x y' =...

Given a warren truss, where the load is 2kN/m so the weight per joint is 10kN, since the ends are supported by ground not truss, can anyone please verify my way of solving for the tension and compression at point B. See attachment Your help is greatly appreciated. So I figured out that AB is...

Homework Statement y'' + 4y' + 4y = 0 ---- y(0) = 1, y'(0) = 5 Find the exact solution of the differential equation. Use the exact solution and Euler's Method to compute Euler's Approximation for time t = 0 to t = 5 using a step h=0.05. Plot Euler's & Exact vs. t and plot Error vs. t. Then...

Hello, I am in an introductory undergraduate course on ODEs, currently on the method of variation of constants to solve nonhomogenous equations. I am noticing that with many of these problems, when solving for constants after plugging in my guessed values for y I end up with enormous...

Hello, I was going through Perron method within the text and came across Lemma 1 which states that if u1,u2 are subharmonic on some domain D and satisfies Cauchy boundary conditions (for example), then so does max(u1,u2). I am quite confused in terms of proving the statement. How would one...

Hello! I need help to integrate the square root of: p x2 + x4 by the method of substitution, p is just a constant. I've been trying for a long time but I can't get it right. I know the answer and it still doesn't help. Thanks! (sorry, I don't know the Latex stuff)

If we want to know whether a certain range of numbers, say between x and y, contain prime or not. Do we use only the division method by all the prime less than the square root of y. If all the number are divisible, then there are no prime in that region. Because according to the above method...

Hello. This is not homework, so I am posting this here because I feel this is the right place to do so. How do I find charges Q1, Q2 and Q3? The answers are given as follow: Q1 = Q3 (This is due to the symmetrical arrangement) = 6.97 x 10^-11 [C] Q2 = 1.44 x 10^-11 [C] I really...

Hi there. The example to obtain the electric potential in the region z>0 by the method of images for a infinite grounded conducting plane, with a point charge q located at a distance d is a typical example of the application of the method of images. If we consider that the plane is located in...

How do we detect if there is more than 1 exoplanet orbiting a star using radial velocity method? I read this but I didnt understand it. Can someone explain the answer in Laymans terms? "Multiple planets will cause a stars radial velocity curve to show two periods: a long gradual change due...

Homework Statement The first order linear equation of the form: \frac{dy}{dx} + ay = b where a and b are constants, can be solved both by the integrating factor method and by separation of variables. Solve the equation using both methods to see that you get the same solution...

Homework Statement I need to find the roots of a given equation using the secant method and matlab. I have already found all the roots, but I am also asked to find the rate of convergence for the method empirically, meaning that they want me to find the order of convergence through the set...

Homework Statement Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y=2x+15 and the parabola y=x2 about the following lines: a) The line x=5 b) The line x= -3 c) The x-axis d) The line y=25 Note: leave answer in terms...

Homework Statement Find the general solution to the indicated equation: cos(x)y' + ysin(x) = 1 Homework Equations e^\int p(x)\,dx * y(x) = int\ f(x)\, dx e^\intp(x)\,dx + C The Attempt at a Solution Ok, I am having trouble getting started with this problem because I am not...

Homework Statement Use the mesh-current method to find v0. Find the power delivered by the dependent source. Homework Equations v1+v2+..vn=0 i=v/R p=iv The Attempt at a Solution eq #1)-i1*10+i2*20=25V eq #2) i2*20+i2*24+6iΔ=0 eq #3) iΔ*14=21 eq#3) iΔ=1.5A eq#3 sub into eq#2)...

Homework Statement Use the node-voltage method to find v0 in the circuit below. Homework Equations i1+i2+...in=0 i=v/R The Attempt at a Solution So I set my reference node to the top of the middle line(above 25Ω) Equation... 24V/(20+80)Ω+v0/25+.004A=0 Now I can solve for...

I'm supposed to be doing a project. Here is what it says to do. I tried to copy and paste the directions in here but some of the equations are not turning out on this page as expected, so I have uploaded the project. Can anyone tell me how I need to start or what to do please? The...

Easiest Method to Evaluate Imperfect Square Root up to 5 Decimals? Any ideas?

I was reading the finite element method in engineering by Rao and in the first example he ends up with a matrix that is singular. The matrix is the following: \begin{pmatrix} 2 &-2 & 0\\ -2 & 3&-1\\ 0&-1& 1 \end{pmatrix} Which is a symmetric matrix as far as I can remember...

Hi, I'm having trouble with this one. Homework Statement Find a particular solution of the second-order homogeneous lineal differential equation x^2y'' + xy' - y = 0 taking in account that x = 0 is a regular singular point and performing a power series expansion. Homework...

Hi guys , i am solving this equation by Finite difference method. (dt2/dx2 + dt2/dy2 )= -Q(x,y) i have developed a program on this to calculate the maximum temperature, when i change the mesh size the maximum temperature is also changing, Should the maximum temperature change with mesh...

Homework Statement Plot the transient conduction of a material with k = 210 w/m K, Cp = 350 J/kg K, ρ = 6530 kg/m3 Where the material is a cylinder, with constant cross sectional area and is well insulated. The boundary conditions for the cylinder: T(0,t) = 330K T(l,t) = 299K...

I've posted a method below. I'm experimenting with local variable declarations in java. Actually, a compiler error in eclipse has made me reconsider what I understand about local variables. Why can't the local variable, String final, be created inside my if statement? Why, instead, would...

Homework Statement Consider the following pair of coupled first order ODEs \dot{y_{1}} = y_{2} with ##y_{1}(0) = 1## \dot{y_{2}} = -y_{1} with ##y_{2}(0) = 1## Use the Euler integration method with a step-size ##h = 1## and fill out the entries in the table below \begin{bmatrix}...

Homework Statement Complete the following MATLAB function that computes the integral ##\int_{-2}^{5} f(x)dx## of the function ##f(x)## plotted in the figure below, after N trials using a Monte Carlo method. Take all the required numerical inputs from the figure shown below. Hint: Generate a...

Simplex method - infeasible I'm looking at some linear optimization problems. In one example I must be missing something, maybe someone can point it out. Here's the example: \begin{align*} \textrm{max } f(\textbf{x}) = & 2x_1 + x_2 \\ \textrm{subject to} & x_1 + x_2 \leq 5 \\ & -x_1...

Homework Statement Show that if given \mathbf{x}_0, and a matrix R with spectral radius \rho(R)\geq 1, there exist iterations of the form, \mathbf{x}_{n+1}=R\mathbf{x}_0+\mathbf{c} which do not converge. The Attempt at a Solution Let \mathbf{x}_0 be given, and let...

I don't really understand what is the need of giving feedback in the magnetostriction method to produce ultrasonic waves. I am thinking of just winding a single rod over a nickel rod and then connecting then connecting the 2 ends to a battery. When the current is passed,magnetic field...

http://www.math.uiuc.edu/documenta/vol-ismp/40_lemarechal-claude.pdf I don't understand why we use theta for equation (1) Θ>0 but why α=-θX? Thanks.

Region bounded by $$x^2-y^2=16, y=0, x=8$$, about y-axis Integrating with respect to y, my lower and upper bounds are $-4\sqrt{3}$ and $+4\sqrt{3}$, respectively. $$V=\pi \int_{-4\sqrt{3}}^{4\sqrt{3}} 64-(16+y^2)\,dy$$ $$=2\pi \int_{0}^{4\sqrt{3}} 48-y^2\,dy$$ $$=2\pi (192\sqrt{3})$$...

I have been interested in (the concept of) large frame industrial combustion turbine supercharging since the early 90's. However, although I believe the concept has merit and has been done successfully in at least one location nearly 3 or 4 decades ago, the concept has not evolved since...

You can use transfer matrix method for 2d Ising model. Is there a list of models for which this method could be of use. Such as classical Heisenberg perhaps? Or Potts?

Hi!, I'm working on a personal project: Solve the heat equation with the semi discretization method, using my own Mathematica's code, (W. Mathematica 9). The code: I'm having problems with the variable M (the number of steps). It works with M=1-5, but no further, I do not know what's going...

Homework Statement I am trying to create a MATLAB program that propagates the solar system when given initial velocity and position. I have successfully implemented a Runge-Kutta 4th order integrator but would like to see the difference when moving to an adaptive time step method. I think my...

Homework Statement Let ##X_1, X_2, ..., X_n## be a random sample from ## f_θ=2x/θ^2## , ##0≤x≤θ##. Find a maximum likelihood estimator for θ. Find the method of moment estimator for θ. The Attempt at a Solution I have already found that the MLE is max{##x_i##}. I just need to find the...

Let $f(z)=\frac{(z^2+1)^2}{(z^2+2z+2)^3}$ . Evaluate the contour integral of $f'(z)/f(z)$ around the circle $|z|=4$? How do I do this without having to find $f'(z)$? Thanks

i have a question, when i put a oil seal in a housing, should i put grease between the housing and the oil seal? because that is more easy to out in. Can explain the theory to me please?

[SIZE="4"]Definition/Summary CORDIC (digit-by-digit method, Volder's algorithm) (stands for COordinate Rotation DIgital Computer) is a simple and efficient algorithm to calculate hyperbolic and trigonometric functions. It is commonly used when no hardware multiplier is available as the only...

When deriving the Runge-Kutta Method to solve y'=f(x) we need to use Taylor expansion. Hence we need to differentiate the function many times. y'(x)=f(y(x)) y''(x)=f'(y(x))y'(x) = f'(y(x))f(y(x)) y''' = f''(y(x))(f(y(x)),y'(x)) + f'(y(x))f'(y(x))y'(x) I can understand the second...

Hi I want to estimate divergence of water vapor flux in atmosphere with NCEP/NCAR data I have the equations for that and i want the algorithms to implement it for NCEP/NCAR data. I have a paper with algorithms for ECMWF data. Can i take this? or it required new algorithms for my data

This isn't really a homework question, but may be similar to a typical example problem so I posted it here. Homework Statement I want to find the max and min dot product of a 3d vector and all points in a sphere constrained by angles in spherical coordinates. Homework Equations A point...

Hello, Can someone show me how the inverse Phasor transform of the sum of individual Phasors of sinusoidal functions of the same frequency is the sum of the sinusoids? I could not find any rigorous proof and help appreciated. Thanks.