Nodes Definition and 127 Threads

Prove that there are n-1 nodes on a string fixed at both ends for the nth harmonic. It is simple to show this using a diagram. [PLAIN]http://www.space-matters.info/img/nodesandmodes.jpg However, is there a way to show this mathematically?

nvm i got it

Suppose that two identical waves travel in opposite directions. We know that a stationary wave is creating. How energy passes from the nodes?

Homework Statement Starting in the bottom left corner and moving either up or right, one square at a time, adding up the numbers along the way, what is the largest sum that can be made once you have reached the top right corner 142212 431343 214212 122331 413121 314342 211113 342322 This is...

Hi all, I'm a beginner in FEA and got a problem regarding nodes. Can you split a line into a number of nodes using APDL script? Then a force should be applied as these nodes using F. The line is and arc. Thanks in advance Chri

Homework Statement A standing wave is set on a string by a vibrating the string at one end. You count 4 nodes on the standing wave. Which harmonic have you produced? The Attempt at a Solution I thought it was 3rd harmonic,but my teacher put 2nd harmonic whos right?

2.2 Suppose you have a string 8 meters long. Briefly explain why it will be possible to set up standing waves with λ= 2 meters but NOT with λ= 3 meters. 2.3 Suppose standing waves of wavelength λ= 3 meters are established in a rope 6 meters long. i. What mode number is this? ii. Not counting...

2 questions that came up in a past paper. A binary tree which is both full and complete and has h levels contains a total of 2^(h-1) leaf nodes. Prove that this is the case for all h > 0. Show that with h levels the number of internal nodes is 2^(h−1) − 1 proof by induction apparently...

Homework Statement I don't have an actual problem to solve, it's more of a conceptual problem. I'm trying to understand harmonics and standing waves, and how the nodes work out, but it's very confusing. (1) If a wave is FIXED at both ends, for the fundamental or 1st harmonic, does it...

Homework Statement Consider the standing wave: 0.005sin(30x)cos(420t) m. Locate the antinode closest to x=0.25 m. Homework Equations The Attempt at a Solution I'm not really sure how to tackle this problem except that i know that antinodes occur at the crests of the standing wave...

OK, I am having a problem. I come from CFD where we do not use "midside nodes". I am currently in a structural position where we use ANSYS for everything. I typically use the 'eyeball' test to see whether or not my mesh needs refining. I assume that it does not need to be quite as fine as a CFD...

Homework Statement Two transverse waves traveling on a string combine to a standing wave. The displacements for the traveling waves are Y1(x,t) = 0.0200 m sin(2.00 m−1 x − 2.90 s−1 t + 0.40) and Y2(x,t) = 0.0200 m sin(2.00 m−1 x + 2.90 s−1 t + 0.80), respectively, where x is...

Homework Statement This is not a homework question but I still posted it here so that no one has any problems... Today we had Electronics Lab and our teacher gave us the first lecture how to write a basic program for PSpice. She gave a circuit and asked us to write the program for it...

Hi all, a couple of weeks ago, I was reading a book (Eisberg and Resnick) in which one of the questions asked was: Basically, the book doesn't give the answer and I don't know it. I also can't work it out, despite the past two weeks of wracking my brain over this problem. Can anyone offer a...

An aluminum wire of length .6 m, cross sectional area of .01 cm^2, density 2.60 g/cm^3, is tied to a steel wire of density 7.8 g/cm^3 and the same cross sectional area. The compound wire is joined to a pulley and then a block of mass 10 kg is tied at the end of the steel wire. Thisi is...

Currently I am studying about mechanics of satellite orbits, however I cannot seem to understand in the regression of nodes, why the line of nodes would rotate in a direction contrary to that of the actual satellite orbit (irrespective if it is prograde or retrograde orbit) ? Ive tried...

Homework Statement Well to many this will probably seem trivial but i can't work out what physically a 'node' is. i understand from year one it the bit in a standing wave that doesn't move etc but I am doing a project at the moment on designing a spacecraft and there's a lot of talk of...

HI everyone I am confused by the terms nodes ,loop and branches which applied to the circuit.

It seems likely- but is it true that the ground state many-body wf must have zero nodes? Is there a general rule for the nodes as a fn of quantum numbers?

Homework Statement What is the difference between a mode and a node The Attempt at a Solution I am not really sure, because they seem exactly the same to me. Any help would be much appreciated!

Homework Statement Microwaves of frequency 10^10 Hz are beamed directly at a metal reflector. Neglecting the refractive index of air, determine the spacing between successive nodes in the resulting standing wave. Homework Equations The Attempt at a Solution dont know what to do here

What is the main function of lymph nodes?I did this in a test and one of my classmate argue with me. It is an objective question.The original answer that the teacher gave is that lymph nodes produce lymphocytes and fight against infection while my classmate argued that it store interstitial...

http://img157.imageshack.us/img157/2147/showmegf4.gif a) What is the current I1 which flows through R1? I1 = (b) What is the current I3 that flows through R3? 3 Equations I1-I3 = 0 I1R14 + I1R2 - E1 =0 I3R2 + I3R3 +E2 = 0 is that even...

Just a quick question-- can compressions and rarefractions be compared to nodes and antinodes in calculations? For example, I have calculated the wavelength of a given longitudinal traveling wave and I am supposed to find the distance from one compression to an adjacent compression. I calculated...

I've read in a book, that if you had a standing electromagnetic wave between two metal plates, only nodes would be at the metal plates. This is due to the infinite high conduction of metal, the book says. Why is that so?

I had to rotate four nodes x,y,z around the z-axis, then the x-axis using rotation equations and an angle. The whole point of the program is to change the input data into a new coordinate system. I think that my data looks right, but I need a second opinion. Input x | y...

The question ask me to compute the expected code length of 5 nodes A B C D E each of frequency .1 .1 .2 .2 .4 respectively. I already did the tree and derive the huffman code. What does it mean by " compute the expected code length ?"