Amplitude Definition and 825 Threads

I'm trying to make a simple water simulation for a platform game (some of you will probably think "why should I care what you need it for?" but the fact it's a platform game tells you what point of view the game has). When a body touches the surface of the water, it creates two waves, one for...

Hey all, I am having trouble determing how to get the max amplitude of an underdamped oscillation. Can someone please tell me where do I start form.

Hi all, since scattering amplitude is given as: f(theta) = summation over l(from o to infinity)(2l+1)/k exp(i(phi))sin(phi) Pl(cos theta).But what happen if i want to calculate the ratio of f(theta=0)/f(theta = pi/2). Can anyone tell me the value of Pl(0). Thanks

I don't know if it's possible or not but I want to calculate the amplitude of a certain frequency. I Have the value of the frequency, the energy needed to give this frequency and say I can calculate the wavelength from the given frequency... So Is it possible to calculate the amplitude...

Any kind soul to help me with this questions...i am stuck qn. The amplitude of vibration of a certain sound wave is increase by 50%. What is the corresponding increase in the decibel level of the sound? My attempt.. beta= 10 log ( I/Io) lets just take I = 2.0 x 10^-7 let just take...

Homework Statement In my electronics practical class, i assemble a ckt of amplitude modulation using BC107 transistor ,but the modulated wave always has the same phase up and above , there is no phase difference b/w the upper and lower part of the wave . My teacher also couldn't...

what happens to the amplitude if total mechanical energy doubles? i thought, if there was enough mechanical energy in the spring, the amplitude would be at its maximum... like it would have stretched as far as it could, so doubling the total mechanical energy, would only make the periods...

Homework Statement Determine the amplitude and phase of the resultant motion when two sinusoidal motions having the same frequency and traveling in the same direction are combined, if their amplitudes are 3.0 cm and 4.0 cm and they differ in phase by pi/2 radians. Homework Equations...

Homework Statement i got to find the complex amplitude i know that w = 50Hz displacement was 30mm at time 0 and -14mm at time 12ms Homework Equations (displacement) = Acos(phase constant)cos(wt) - Asin(phase constant)sin(wt) The Attempt at a Solution so I've tried plugging...

Critical damping provides the quickest approach to zero amplitude for a damped oscillator. With less damping (underdamping) it approaches zero displacement faster, but oscillates around it. With more damping (overdamping), the approach to zero is slower. I got this from hyperphysics but I...

if f(x) = - sin(x/5 - p) are given, then the amplitude must be -1, correct??

Hello everyone, I just want to ask a question. If higher the amplitude the particles move a larger distance right. So is the wavelength related to amplitude. The sound travels in circles right. So I'm bit confused here how they travel in circles and be a longtitudinal wave at the same time. Any...

Is there a way to reduce the amplitude of a light wave to half its value in one case and do nothing in the other cases? Three Cases: Case A: Light amplitude input is 2 - reduce to 1 on output (cut in half) Case B: Light amplitude input is 1 - output is 1 (do nothing/pass through) Case C...

A wave with a frequency of 190 Hz and a wavelength of 26.2 cm is traveling along a cord. The maximum speed of particles on the cord is the same as the wave speed. speed = wavelength X frequency

Let's say I have a field (electric or magnetic or something) and it's time-varying so I choose to represent its components as phasors. Say the field is: \vec{F} = X\hat{x} + Y\hat{y} + Z\hat{z} where, X, Y and Z are complex numbers. Now, I want to find the amplitude of the field. If...

1) Does the amplitude of a cantilever affect the time period of each oscillation when the experiment is set up like http://www.practicalphysics.org/go/Experiment_430.html 2) Please explain your answer. 3) The equation I am using is T= 2pi* sqrt ((4ML^3)/(Ebd^3)). Now this equation works...

Hello, I am having trouble finding the A in this problem. I found T=1/2=.5, I found K =31.55n/m. I tried using the formula KA2=MV2+KX2 to find amplitude but ended up with A=0.0435m This just doesn't seem right . I used .05m for a value of X. Does anybody know what I am doing wrong? A...

Homework Statement Determine the period of oscillations of a simple pendulum ( a particle of mass m suspended by a string of length l in a gravitational field) as a function of the amplitude of oscillations. Homework Equations T(E) = \sqrt(2m) \int^{x_2(E)}_{x_1(E)}\frac{dx}{\sqrt(E-U(x)}...

Hi all, suppose i want to calculate the propagator/transition amplitude which i can write as follows: (a,T|-a,-T)=\int_{-\infty}^\infty dx_1\int_{-\infty}^\infty dx_2(a,T|x_1,T_1)(x_1,T_1|x_2,T_2)(x_2,T_2|-a,-T). the situation is this: i already have an approximation of...

An ob ject moves with simple harmonic motion. If the amplitude and the period are both doubled, the ob ject’s maximum speed is I believe the object's maximum speed would be halved correct? Considering the regular velocity does not depend on the Amplitude and only the Period would affect it?

Homework Statement We have waves propagating in the air. First part asks for a traveling wave solution in the x direction , given a wave length 2pi and amplitude 3m. I have obtained u(x,t) = 3 cos ( x - 345t). The question then asks what happens if a wall is placed at x=0, what is the form of...

Homework Statement A sinusoidal transverse wave travels on a string. The string has length 7.60 m and mass 6.50 g. The wave speed is 34.0 m/s and the wavelength is 0.250 m. If the wave is to have an average power of 55.0 W, what must be the amplitude of the wave? Homework Equations...

If I am right, it's supposed to be this: When a particle moves from r_{1} to r_{2}, the amplitude of the move can be written as: \langle r_{2} | r_{1} \rangle = \frac{e^{ipr_{12}/\hbar}}{r_{12}} where r_{1} and r_{2} are vectors of particle's position (I think?). and r_{12} = r_{2}-r_{1} and...

Homework Statement At a rock concert, the engineer decides that the music isn't loud enough. He turns up the amplifiers so that the amplitude of the sound, where you're sitting, increases by 87.0%. By what percentage does the intensity increase? Do not enter unit. Homework Equations...

Homework Statement A massless spring of spring constant k = 74 N/m is hanging from the ceiling. a 490 g mass is hooked onto the unstretched spring and allowed to drop. A) Find the amplitude B) Find the period of the resulting motion Homework Equations f = 1/T F=-kx x(t) = Acos...

a block P of mass m lies on a smooth plane AB that is inclined at angle (alpha) to the horizontal.The block is attatched to the bottom of the plane,A, by a spring of stiffness 2k and natural length L0.The block is initially released from rest from the equilibrium position.the equilibrium...

For the wave shown in this drawing, what is the amplitude at x = 6 cm? [Hint: Remember that the wave will be moving. So even though there presently is an node at x = 6 cm, this will change at a later time.] I put 0 cm as the answer but I got it wrong and I don't understand why it's not...

Hi there I am trying to sum many cosines of different amplitude and phase shift, but same ang. frequency (it's not a coursework question). My first thoughts are to sum them two at a time (to simplify matters?), probably using complex numbers. I tried doing it symbolically in MATLAB but it...

Homework Statement A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.381m. The maximum transverse acceleration of a point at the middle of the segment is 8200 m/s^2 and the max. transverse velocity...

i hav got some doudts regarding AM (amplitude modulation) 1) the amplitude of carrier wave is changed according to the signal --- defn of modulation wats the amplitude of modulated wave is it A+B or other ... if "A" is the amplitude of carrier & "B" is the amplitude of signal ...

Homework Statement The problem is about the http://en.wikipedia.org/wiki/Quadrature_amplitude_modulation" . This is a work from my course Analog signal processing. Here is the scheme http://img99.imageshack.us/img99/9449/zrgwj2.jpg Two things to do : 1. Find the expression of x_qam(t) 2...

1. There is a spring connected to a mass on a frictionless horizontal surface. Another mass smaller in size is placed ontop of the bigger mass. It asks find the amplitude so that the smaller mass falls off. Coeffient of friction is 0.4 between the two masses. K is given as 200 N/m 2...

Some one please help! Pressure Amplitude Homework Statement (a) What is the pressure amplitude of a sound wave with an intensity level of 124.5 dB in air? _____ N/m2 (b) What force does this exert on an eardrum of area 0.520 10-4 m2? _____ mN 3. The Attempt at a Solution...

1. Homework Statement (a) What is the pressure amplitude of a sound wave with an intensity level of 124.5 dB in air? _____ N/m2 (b) What force does this exert on an eardrum of area 0.520 10-4 m2? _____ mN 3. The Attempt at a Solution if P is amplitude of pressure, then...

Ok as I am a Newb at pyshics I need some help with my homework. *sigh* This is going to be a couple of de de de questions. And here we go: 1. What does the slope indicate on a period(time) vs. amplitude(degrees) graph? 2. What does the slope indicate on a period(time) vs. length(cm) graph...

Homework Statement A 175g mass attached to a horizontal spring oscillates at a frequency of 2.0Hz. At one instant, the mass is at x = 5.0cm and has Vx = -20cm/s. Determine the following. a.) the period b.) the amplitude c.)the maximum speed d.)the total energy Homework Equations...

Okay: here's the question: It's a well-known thing that when you add two sinusoids of equal amplitude and different frequency then you end up with a signal with the mean of the frequencies and a beat envelope. This just comes from the trig identity: \cos(a) + \cos(b) = 2\cos(\frac{a+b}{2})...

Homework Statement Two in-phase loudspeakers emit identical 1000 Hz sound waves along the x-axis. What distance should one speaker be placed behind the other for the sound to have an amplitude 1.60 times that of each speaker alone?Homework Equations None given, but I assume: v=f\lambda A =...

Homework Statement An oscillator with a mass of 500 g and a period of 0.300 s has an amplitude that decreases by 1.40% during each complete oscillation. If the initial amplitude is 11.4 cm, what will be the amplitude after 38.0 oscillations?

Homework Statement A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.381 m. The maximum transverse acceleration of a point at the middle of the segment is 8600 m/s^2 and the maximum transverse...

Homework Statement Adjacent antinodes of a standing wave on a string are a distance 15.0cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850cm and period 0.0750s. The string lies along the +x - axis and is fixed at x=0. At time t=0, all points on the...

Quesion in approaching to Path Integral I've just read "Quantum Mechanics and Path Integral" book which was written by Feynman, he said the phase of probability amplitude is proportional to "the ACTION S in units of Quantum of action \hbar . What is the reason to be that? Can anybody explain...

Homework Statement Damping is negligible for a 0.155 kg object hanging from a light 6.30 N/m spring. A sinusoidal force with an amplitutde of 1.70 N drives the system. At what frequency will the force make the object vibrate with an amplitude of 0.440 m? So: m=0.155kg k=6.30N/m F=1.70N...

Homework Statement Given: "In a science museum, a 110 kg brass pendulum bob swings at the end of a 15.0-m-long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.5 m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's...

Homework Statement Two loudspeakers emit sound waves of the same frequency along the x-axis. The amplitude of each wave is a. The sound intensity is minimum when speaker 2 is 10 cm behind speaker 1. The intensity increases as speaker 2a is moved forward and first reaches maximum, with...

Amplitude of EM waves in vacuum~~~ As we know, amplitude of waves decreases with distance due to energy loss. But what if EM waves in the space?? Since there's no matter around, I was wondering if there is any energy loss when EM waves travel through vacuum.

Homework Statement A block of mass 0.28kg is attached to a spring of spring constant 12N/m on a frictionless track. The block moves in simple harmonic motion with amplitude 0.2m. While passing through the equilibrium point from left to right, the block is struck by a bullet, which stops...

The method of images exploits the fact any linear combination of solutions to a differential equation is also a solution, and the fields and potentials from a point source satisfy all relevant diff eq's, assuming the boundary conditions are met. However, a scalar multiple of any solution is...

Homework Statement A sound wave of frequency 1250 Hz., propagating through air at 0 degrees Celsius, has a pressure amplitude of 15.0 Pa. What is the maximum particle speed (in meters/second)? Homework Equations v = frequency x lambda = (2 x pi x frequency)(lambda / 2 x pi) = omega / k =...

At t = 0, a 730 g mass at rest on the end of a horizontal spring (k = 128 N/m) is struck by a hammer, which gives it an initial speed of 2.74 m/s. (a) Determine the period of the motion. s Determine the frequency of the motion. Hz (b) Determine the amplitude. m I have found parts A...