Standing wave Definition and 201 Threads

Homework Statement A horizontally oriented string with mass per unit length ##\mu=0.1kgm^{-1}## is under tension T=1.0N. The left end of the string moves up and down in a simple harmonic motion with an amplitude A=0.10m and frequency f=3.0Hz. This sets up a sinusoidal wave along the string with...

Can someone explain why the phase difference is zero when the there is equal number of nodes between the two vibrating particles. Thank you

Quote from the wikipedia article of relativistic quantum chemistry: "... These corrections affect the electrons differently depending on the electron speed relative to the speed of light. Relativistic effects are more prominent in heavy elements because only in these elements do electrons attain...

I know that for standing waves, as opposed to normal waves, there is no net transfer of energy. However where does the energy go? Imagine that I have a jump rope that is attached to the wall, and I create a standing wave pattern. To keep the standing wave pattern, I must keep supplying energy to...

I recently came across a couple of very cool papers about animal locomotion: Collins and Stewart, "Symmetry-breaking bifurcation: A possible mechanism for 2:1 frequency-locking in animal locomotion," J. Math. Biol. (1992) 30:827-838 Collins and Stewart, "Coupled Nonlinear Oscillators and the...

Homework Statement An otherwise free metal rod of length L = 67-cm is clamped at a point L/18 from one end. A standing wave is set up on the rod. What is its longest possible wavelength? The Attempt at a Solution where do I go wrong? thanks

I understand that a standing wave in one dimension is a superposition of a traveling wave going one way with a traveling wave going the other way. Does that mean that the momentum at every point along the combined standing wave is zero? For example if one has elecromagnetic standing waves...

Homework Statement See pictures. There are 2 parts to the problem but I can probably figure out the second part once I get the first part. [/B] Homework Equations Antinodes (minimum pressure) at Nodes (maximum pressure) at [/B] Equation for a standing wave: The Attempt at a Solution...

Homework Statement Homework Equations y (x,y) = 2YmSin(kx)Cos(wt)The Attempt at a Solution I am having trouble at setting up the standing wave equation for this problem. Once I set up the equation, I know that part a b c d is just plugging in the numbers. From what I learned, I know that...

I understand, from my textbook, that certain frequencies of sound (depending on the length of the tube) will reflect off the interface between the air in the tube and the air outside, that this interface is a discontinuity. But in all other cases where discontinuities caused (partial)...

Homework Statement A fellow student of mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x,t)=2.30mmcos[(6.98rad/m)x+(742rad/s)t]. Being more practical-minded, you measure the rope to have a length of 1.35 m and a mass of 3.38 grams. Assume that the...

By considering the superposition of two waves propagating through a string, one representing the original or incident wave and the other representing the wave reflected at the fixed end, if both ends of the string is fixed then the waves can reflected and travel back and forth. Standing wave can...

Hello, I am moving into a new house, remodeling, etc. & am installing a new A/C compressor and radon fan. Being that low frequency noise highly bothers me & affects my insomnia quite a bit, I am trying to look at all considerations regarding acoustics, mechanical sound propagation properties...

Wikipedia standing wave noun Physics noun: standing wave; plural noun: standing waves a vibration of a system in which some particular points remain fixed while others between them vibrate with the maximum amplitude. _____________________ As a Photon gains or looses energy it's maximum...

This is not coursework; I am preparing for an exam and this question is from a past paper. We have access to past papers but we are not given the answers to them. 1. Homework Statement Two waves are generated on a string of length 2m, to produce a three-loop standing wave with an amplitude of...

Homework Statement "Solve the wave equation with the following initial conditions and boundary conditions." ∂2Y/∂x2 = 1/v2 * ∂2Y/∂t2 Boundary conditions: ∂Y/∂x(x=0, t)=0 and Y(x=L,t)=0 Initial Conditions: ∂Y/∂t(x, t=0) = 0 Y(x,t=0) = δ(x-L/2) Homework Equations Using separation of...

Homework Statement The equation of a transverse wave traveling in a string is given by y(x,t) = 10 cos (π/2)(0.0050x - 8.0t + 0.57), in which x and y are expressed in centimeters and t in seconds. Write down the equation of a wave which, when added to the given one, would produce standing...

Homework Statement If ##u(x,t)\in \mathbb R, x\in[-\pi,\pi] ## represents a standing wave with ##u(\pm\pi,t)=0## Then what is the most general solution u(x,t)? Homework EquationsThe Attempt at a Solution [/B] Using the separation of variable technique: u(x,t)=P(x)Q(t) I get ##P(x)...

I'm struggling in physics class, and I really need help with this question. "If you are holding a spring in your hand and making waves, describe how to make a standing wave at the 2nd resonance frequency (next frequency over the fundamental). Include a sketch with your answer." What does this...

I am sure this has been answered many times. But I've read about 40 posts on standing waves, and I still have a "standing" question. I am having a hard time visualizing how energy can be transmitted at a node of a standing wave. Basically, how can an immobile point be pulling on its...

λ∂Homework Statement Aguitar string lies along the x-axis when in equilibrium. The end of the string at x=0 (the bridge of the guitar) is fixed. A sinusoidal wave with amplitude A=0.750 mm and frequency f =440 Hz, corresponding to the red curves in Fig. 15.24, travels along the string in the...

Homework Statement Why does Asin(kx)sin(wt) also represent a standing wave? Which two interfering waves may superpose to make it? Acos(kx+wt) and Acos(kx-wt) could if we were subtracting them, but we're adding so that doesn't make much sense? Also, is there something like a phase shift in the...

For a particle in a box that is described with a wave function, why can there only be a standing wave when there is an infinite potential well? From my understanding, the infinite potential well makes it impossible for the particle to tunnel through the barrier and so the wave function cannot...

Hi, Considering a transverse wave on a string fixed at both ends... I understand that a wave summed with its reflection will produce a standing wave at any frequency. Is it correct that this standing wave is resonating only when that standing wave has nodes at each end? (Well not necessarily...

Hi, For a wave fixed at both ends, what is the behaviour of the original and refelcted wave between the harmonic frequencies? I understand how a standing wave is created by the superposition of a wave and it;s reflection at a boundary. I also understand that at the fundamental frequency of the...

Ultrasonic Standing Wave Suspension could the transducer support itself? Essentially looking at items that state a surface area of 1m2 could support 11.5kn at 16 Watts (Hemsel, 2013) could the transducer suspend itself from the reflector using the same theory even though the suspension point is...

Homework Statement A standing wave pattern on a string is described by y(x, t) = 0.054 sin (9πx)(cos 72πt), where x and y are in meters and t is in seconds. For x ≥ 0, what is the location of the node with the (a) smallest, (b) second smallest, and (c) third smallest value of x? (d) What is the...

I was teaching myself standing wave's chapter. It is said in the book that when plucking in the center of the string, it will cause two traveling waves of different directions, one left, one right. Then both of them will reach ends of string and invert back. Before they encounter at the center...

A friend who was in Civil Air Patrol once told me he was using some RF Locator equipment and was "homing in" on a target. His walking path to the target was sinusoidal because of the wavelength of the frequency used. He said he was literally walking the wave.... Standing wave, I assume? Or...

Homework Statement For standing wave, I have read that there are certain points on the wave that don't move at all, nodes. However, for a standing wave the shouldn't the resultant wave have no displacement because we now have two waves on the same rope with the same amplitude and frequency...

Homework Statement a string is tightened at 2 ends. the string is then plucked , a standing wave is produced. are the wavelength of standing wave and sound wave produced same? Homework Equations The Attempt at a Solution

Is it possible to confine electrons for example into a region using standing waves ? Like having a vacuum sphere and using some 180 degrees out of phase overlayed waves to capture a cloud of electrons in the middle has anything like it been done before and can you please tell me more about it as...

Homework Statement The figure below shows a snapshot of a standing wave on a composite string. It is a node in the composite point. If the aluminium string has a diameter of 1.50 mm, which diameter does the steel string have ...

Hi everyone, I just have a question about the correct procedure to follow to complete a question. The question is: A source of frequency of 60 Hz is used to make waves in a rope 3.0m long. It takes 0.10 s for the waves to travel from one fixed end of the rope to the other. How many loops are...

Hi, I was taught that a standing wave is formed when a progressive wave meets a boundary and is reflected. I was also taught that waves that meet a fixed end, reflect on the opposite side of the axis to the side that they met it at. (I hope that makes sense) If this is true, when the wave is...

I was going through De Broglie's acceptence speech and I found he said a particle at rest can be associated with a stationary wave. Now what We know wavelength= h/p(momentum). So for a particle at rest we get wavelength = h/0. This is undefined. So does not it state that a particle at rest is...

Can this animation http://en.wikipedia.org/wiki/File:GravitationalWave_PlusPolarization.gif be a good representation of a standing wave in Hydrogen? If the wave rotated on the normal direction could then be a representation of the probability cloud in QM? Can you give me a link whre to learn...

Homework Statement I am currently reviewing the physics of 'standing waves on a string'. I know that for the nth harmonic, the length of the 'string' is \frac{n\lambda}{2}. Instead of just memorizing these, I have been trying to apply my knowledge of Calculus to figure out why these numbers...

Homework Statement 1. A 5.0 H inductor is connected to a 120 V rms, 60 Hz ac power supply. Periodically, the energy stored in the inductor reaches a maximum value. What is this maximum value? A) 0.010 J B) 0.020 J C) 0.40 J D) 0.80 J E) 10.0 J 2. A standing wave on a string is...

Homework Statement I'm in a Year 10 physics class. We have been asked, for homework, to design an experiment to measure the velocity of a standing wave. No other information has been given other than that. I reproduce the exact instructions we were given, since the guidelines suggest I...

Homework Statement A wire with an alternating current flowing through it is placed in a magnetic field. This causes the wire to oscillate with a frequency equal to the frequency of the current (you will learn about this when we study electromagnetism). The wire has a length (length is...

Say we have 2 equations of progressive wave as y1=Asin(kx+ωt) and y2=Asin(kx-ωt) Where ω=kv, k=Wave Number, v=Wave velocity These equations combine according to the principle of superposition as: y1+y2=[2Asin(kx)]cos(ωt). Now we know that a standing wave is called so because all the...

Good afternoon all My question is, when we observe stationary waves, and we know that at a certain point, the sound is maximum, is this the displacement node or the displacement antinode? I have read a few different sources and currently i have encountered both. To me it makes more sense...

Homework Statement Two waves travel in opposite direction form a standing wave of y= 2sin(31.42x)cos(7854t). Find the positions of first two nodes with x>0. Homework Equations The Attempt at a Solution The question didn't say whether the standing wave starts from node or...

1. The problem The distance between two consecutive nodes of a standing wave is 21.9 cm. The hand generating the pulses moves up and down through a complete cycle 3.72 times every 4.22 s. Find the velocity of the wave. Answer in units of m/s 2. Some relevant things to know are: Frequency...

Both of the highlighted equations deal with a standing wave. However, they are slightly different in the sense that the latter has a phase shift in it. Why ? Also, how does one go from the latter equation for a standing wave to : 2A*sinkx*sinwt. For a string with both ends fixed And...

Homework Statement A speaker is placed near the open end of a 0.5m pipe (closed on the other end). what is the speed of sound if the pipe resonances at 600Hz for n=2? Homework Equations fn=(2n+1)*V/4L Or? fn=(2n-1)*V/4L The Attempt at a Solution I saw both versions of the...

Hi, I am trying to figure out how to mathematically described a wave or a pulse, I do not actually know what to call it. I will try to describe it - a particle shown like a circle with a tsunami type wave going around the particle. Please help me define something like this mathematically.

Homework Statement An aluminum rod is clamped at the one- quarter position and set into longitudinal vibration by a variable-frequency driving source. The lowest frequency that produces resonance is 6180 Hz. Find the length of the rod. The speed of sound in aluminum is 4860 m/s. Homework...

Hi I am doing coursework relating to resonance in a wine glass, and i am so confused as to where the standing waves are formed, clearly in videos i have watched the wineglass, when exposed to a high amplitude of its resonant frequency (in slow motion) clearly shows the wine glass vibrating...