Damping Definition and 308 Threads

Which one of the following statements about an oscillating mechanical system at resonance, when it oscillates with a constant amplitude, is not correct? A The amplitude of oscillations depends on the amount of damping. B The frequency of the applied force is the same as the natural frequency...

If I have mass-spring system with certain damping factor, what is the expected reduction in the damping if the mass is reduced by 25% and the spring stiffness by 50%? It is clear that the damping will decrease but how much? can anyone helps me in that?

Homework Statement A block of mass m rests on a horizontal table and is attached to a spring of force constant k. The coefficient of friction between the block and the table is mu. For this problem we will assume that the coefficients of kinetic and static friction are equal. Let the...

Hi All, I need some basic info of He closed cycle cryos..(like working principle, etc).. I have a compressor, which compress He gas and passed into a cryo's coldhead. So He gas expands in side the coldhead and cools the coldhead..then it again passes into compressor..so the cycle repeats.. I...

I've been somewhat curious about this for a little while: Is there a way to obstruct a magnetic field so that it is weaker in one area and stronger than another. I have attached a picture of what I'm kind of looking for, but also anything that could cause the same effect in terms of...

Qn4. A damped harmonic oscillator involves a block of mass 2.0kg and a spring with a stiffness 10 N/m. The damping force is proportioanla to the velocity of the oscillator. Initially it osicillates with an amplitude of 25cm. Due to the damping, the amplitude fallsto three-fourth of this...

Qn3 A pendulum length of 1m has a bob which has a mass of 50g. It is released from an initial angle of 15degrees. After 1000s, its amplitude is reduced by the damping force of the air to 5.5degrees. What is the value of the damping constant of the air? Ans. I need to check whether what i...

Critical Damping: T/4? I read a few Textbooks on SHM. It happens to be the ones that show no mathematical derivations, that claim that Critical Damping has the period (i.e. time from 0 to equilibrium) of T/4 So I went back to my derivations of SHM considering second order differential...

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...

I am doing an experiment on the pendulum, and i wanted to do something on the damping, i understand a little as i have done some reading on it, the picture attached show the working i have done, i have reached a second order DE and i know little about this. So my question is, can you plot a...

Hi all, I've finished a hypothetical problem in which I have determined the optimum damping ratio $\zeta$ for a specific system. This $\zeta$ value (0.265 in my case) minimizes the peak force transmitted through an object. My next step is to take this $\zeta$ value and find some sort of...

How do you keep the metal object from sticking to the magnet when building a magnetic damping device? :smile:

Hi All This is my first post and I was hoping that someone could help. I have the following attached question regarding a linear damping model (in this case a seismograph). (1) Draw a force diagram. If W=weight, R= air resistance, and H= spring force, then I get W pointing down and both...

Homework Statement I'd really appreciate it if someone could point me in the right direction in terms of equations to use for this problem: Bar magnet suspended at either end by 2 pieces of string which are attached vertically above the magnet to a stationary metal rod (so that the bar magnet...

Hello. I'm designing a simple prototype home kit for visualising the effects of vibration on various systems. In this case i have a simple spring mass system in compression that will have responses measured by varying initial displacements. As it stands the system will be unforced, and...

Homework Statement A hard-boiled egg of mass 51.0kg moves on the end of a spring with force constant 25.7N/m. Its initial displacement is 0.293m. A damping force f (x) = -bv (x) acts on the egg, and the amplitude of the motion decreases to 0.101m in a time of 4.55s. Calculate the...

I now I have several threads but I need help with them all and thanks to who ever gives their time. Homework Statement A damped harmonic oscillator consists of a block (m=2.00kg), a spring (k=10.0N/m), and a damping force (F=-bv). Initially, it oscillates with and amplitude of 25.0cm; because...

[SOLVED] Pendulum Damping Force Homework Statement I am attempting to find the damping force of my pendulum using Stokes' Law. However, I am having trouble finding the velocity of the spherical object to get this damping force. The radius of the sphere is 0.014m, the viscosity of air is 1.82...

Homework Statement This problem is part of my project for Controls 3B. The project revolves around modeling a bouncing ball that is dropped from a certain height and bounces of the ground. I have been told to use the mass-spring-damper model to simulate the ball while it is in contact with...

Homework Statement The Archimedian principle stetes that the bouyancy force equals the weight of the water displaced by the body (partly or totally submerged). A cylindrical buoy of diameter 60cm is floating in water tiwh its axis vertical. When dupressed downward in the water and released...

Homework Statement A 95.0 cm pendulum is released from a small angle. After 115 oscillations, the amplitude is one half of its original value. The damping is proportional to the speed of the pendulum bob. Find the value of the damping coefficient. Homework Equations b=sqrt k*m A=...

hi, this is a question in my textbook that i don't get: Does a stiff spring undergo slower or faster damping than a less stiff spring of the same legth? i think the stiff one would undergo a faster damping because it tends not to move even though there's a mass attached to it, doesn't it...

If anyone could help with the following, it would be great. I am currently carrying out an experiment for a school project to see how damping affects and reduces the amplitude of the oscillation of a pendulum. For the pendulum I am using a suspended metre ruler and I will count the number of...

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 =...

Considering the response of a single degree of freedom system to harmonic excitation with viscous damping , following conclusions can be drawn: Now, The response of a single degree of freedom system to harmonic excitation can be split into: a) Steady Sate response (or vibration) which...

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...