Damping Definition and 284 Threads

This is the entire problem. I am looking for help with part 3. For the mass-spring system with damping, we obtain the following DE my′′ + gammay′ + ky = 0, or y′′ + cy′ + omega^2y = 0, where c = gamma/m and omega^2 = k/m. Given m = 1,k = 4, gamma= 1, and initial conditions y(0) = 0.1...

Homework Statement Consider the simplified wave function: \psi (x,t) = Ae^{i(\omega t - kx)} Assume that \omega and \nu are complex quantities and that k is real: \omega = \alpha + i\beta \nu = u + i\omega Show that the wave is damped in time. Use the fact that k^2 =...

I have been reading Equations of Motion pertaining to "Damped Single Degree of Freedom Systems" There, the critical damping coefficient wherein the oscillation is completely eliminated from the system is defined by: Critical Damping Coefficient = 2 x m x (omega) where, m=mass...

If we consider a block of mass m attached to a spring, where the system oscillates on a table with friction f, the friction force f on the block would depend on the direction of the velocity, as m\ddot{x} = \begin{cases} -kx+f & \text{if } \dot{x}<0\\ -kx-f & \text{if } \dot{x} > 0 \end{cases}...

I have an RLC Circuit. I've changed the resistors 3 times to give me a case of overdamping, underdamping, and critical damping. In taking my data (this was a long long time ago) I apparently missed taking measurements of current. I'm trying to solve the three differential equations to make a...

I have an RLC Circuit. I've changed the resistors 3 times to give me a case of overdamping, underdamping, and critical damping. In taking my data (this was a long long time ago) I apparently missed taking measurements of current. I'm trying to solve the three differential equations to make a...

Hi anyone, I'm doing my final year project requires to use audio speaker. I need to know the two parameters for my transfer function. They are spring constant and the damping coefficient of the speaker flexure. Can anyone give me some idea? Best Regards, Ivan

How do I find the damping constant of a pendulum? Is there a formula?

I've been doing experiments investigating rolling objects, and have noticed some interesting facts about energy loss. The loss is significantly greater than I would imagine, and I am having difficulty finding the source of such energy loss. I'm investigating several possible causes at the...

what is the theory and application for damping:confused:

hello. can u help me with this planing execise manufacturers of sheet metal use rollers to produce the sheets. The sheets then pass along processing lines for painting. Transverse vibrations of these sheets results in a non uniform thickness of paint layers on the sheets. Electronmagnetic...

The suspension system of a 1700 kg automobile "sags" 13 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 62% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel...

Damping Regarding Damping! Let us say we have a have mass concentrated at the end of a string(simple pendulum).Let us say the pendlum is set in motion and then eventually due to energy loss through air resistance, the amplitude of the oscillation will reduce and eventually the pendulum comes to...

Hi, I'll get right away to the point. I'm determining damping coefficients from motion sensor traces of a damped oscillator. I have gone through the standard procedure of taking natural logs of the sine wave peaks and drawing graphs etc, however what puzzles me is that the SIGN of the damping...

Textbook Question: Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating? a) Slightly damped b) Underdamped c) Critically damped d) Overdamped e) Resonance Textbook says that the smallest...

Hello, I've got to prepare for a practical session and need some help with a problem: how (by what experiments) can you prove that the damping of a series RLC circuit depends on the value of the resistance (without basing oneself on any knowledge of the damping factor \zeta=\frac{R}{2L})...

The following data shows the conductivity of 5 metals and the rate of change in gravitational potential energy due to induced current when the metal is passed through a electromagnetic field of 5.4mT on the end of a pendulum. you know, the classic eddy current experiment. I'm just wondering if...

Hi I'm looking for a place were I can find the damping coefficient for water. Maybe someone has/can find/knows a good site/table/url? thank you

if the amplitude of a damped oscillation is decrease to 1/e after n periods, how can i show that the frequency is about [1-(8pi^2n^2)-1]times the frequency of undamped ocillations? can i assume that the oscillation is critical damping such that the term b/2m and k/m can be cancel in the...

Right, I'm about to open a big can of worms: I'm investigating eddy current damping of Simple Harmonic motion and I'm going to be investigating how the damping coefficient varies with various factors including the distance of the magnetic field (irrelevant, just informing). A "magnetic tunnel"...

i just have 2 questions i want to clear up so i can understand the concepts more, thanks 1) if you are calculation entropy change from path a to b and the path is isobaric (cont. pressure) how do you do it? the formula for entropy change is dQ/T, but i am unsure about what T to use, also i...

Show that the equation x(t)=(A+Bt)e^(-Beta*t) is indeed the solution for critical damping by assuming a solution of the form x(t)=y(t)exp(-Beta*t) and determining the function y(t). Is there a differential equation for the critically damped case that I can substitute x(t) and its...

Typically photon attenuation is determined by the equation I = I_0 \cdot e^{ - (\mu \cdot z)}. The variable mu is the linear attenuation coefficient and z is the distance traveled through the substance of transport. Is it safe to say that I_0 \cdot e^{ - (\mu \cdot z)} is the damping term of...

What is a damping. Text books say damping is proportional to velocity. Why not damping is proportional force? or why not damping proportional to some other parameter. What does damping actually do ? Is there any practical application ?

Given a system where a damped spring has natural frequency equal to the frequency of the input oscillations, how do I choose a damping constant in order to maximize the response of the spring? Are there any issues with choosing a zero damping constant? (as this would surely provide the...

A 86.0 cm pendulum is released from a small angle. After 107 oscillations the amplitude is one half of it's original value. The damping is proportional to the speed of the pendulum bob. Find the value of the damping coefficient \alpha , in Hz. I think the period is .009 s, using 1/107, but...

1st of all - Hi everyone, this looks like a great resource, hopefully i'll be a frequent visitor! Anyway, the reason for this post is to findout if anyone knows of any texts concerning the more practical (design) side of hydraulic damping used in suspension systems. Im at uni in England at...

Could someone please give me a QUALITATIVE description of: -critical damping -over damping -under damping So I can understand the physics behind the oscillatios in a circuit. I know the mathematical explanations (ie. over damping is when the characteristic polynomial solutions are both...

A spring is stretched 6 inches by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb-sec/ft and is acted on by an external force of 4cos(2t) lb. a) Determine the steady-state response of this system b) If the given mass is replaced by...

How can we find practically,the damping of material...Actually we have Honeycomb Sandwich Panels of alumiunm & now we want to find out Damping from an experimental process... Plz tell me the procedure to find out Damping...

Hi guys, I am a bit stuck at the moment on this experiment I am doing. I am trying to model an oscillating spring mass which is being damped using air resistance and a circle piece of polystyrene. The equation of this will be in the form d^2y/dt^2 + Rdy/dx + ky/x = 0 I...

Consider damped harmonic oscillations. Let the coeffient of friction gamma be half the value of the one that just gies critical damping. How many times is the period T larger than it would be for gamma = 0?? WHen gamma is zero - T = \frac{2 \pi}{\omega} When gamma is half of the...

I have been given a question about damping that will form part of my A-level coursework, and I wondered if any of you could think of a decent way to go about it. The brief is to investigate how the amplitude of a compound pendulum decreases with the degree of damping. Equipment I will...

A 50.0-g hard-boiled egg moves on the end of a spring with force constant . It is released with an amplitude 0.300 m. A damping force acts on the egg. After it oscillates for 5.00 s, the amplitude of the motion has decreased to 0.100 m.Calculate the magnitude of the damping coefficient ...