This is a question for knowledge not for any assignment, but I was wondering what type of equation describes the damping or extinction that the light beam coming from a laser endures. I googled and couldn't find much although I may be using the wrong terminology. Could someone point me toward a...
Homework Statement
That is the system.
B1 and B2 are the dampers
I am asked to obtain the differential equation model for the system. I haven't dealt with these in a while so I'm not sure where to start.
Homework Equations
Like I stated earlier i haven't messed with one of these in a...
Describe velocity feedback damping in relation to aircraft systems?
my attempt at an answer:
I know what damping is, and i know what velocity feedback is, I just can see how they fit together. I think it's something along the lines of;
an auxilery power unit has a speed sensor...
So have a loose fitting piston attached to a conrod, attached to a flywheel. The chamber the piston is in is sealed reasonably well around the controd, and is full of a fluid with a viscosity.
Let's say the flywheel is spinning.
I want to work out from the fluid dynamics occurring, what the...
Just a quick question that I am unsure about. Let say a vertically suspended spring with an attached mass at the bottom. How does the mass relate to the damping coefficient?
I am guessing that the mass is proportional to the damping coefficient. The heavy the mass at the end, the higher the...
Homework Statement
The oscillator is driven by a force F(t) = mAcos(wt). Plot the amplitude D of oscillations, in units of the maximum (resonant) amplitude D(max), as a function of w in units of w_0. (In other words, plot D/D(max) versus w/w_0.) Find Q.
\beta=(1/6)w_0
Homework...
Homework Statement
I'm doing a lab report on resonance and I'm trying to find the damping constant and damping factor. I measured as many amplitudes(A) for successive oscillations as possible and graphed amplitude number (n) vs. ln(A)
The hint read:
Part 1:Using equation 5, Plot a graph...
Can someone please explain me the difference between damping and Coefficient of restitution (COR)?
Are both the same or how do they relate to each other?
Thank you,
I have a transfer function for system.
23.23*s + 1.421
------------------------------------- = tf
s^2 + 25.88*s + 1.421
Since the numerator has a non-zero coefficient for "s" I am wary about equating
25.88 = 2 * zeta * omega [the stuff we usually do for calculating the damping...
I have a transfer function for system.
23.23*s + 1.421
------------------------------------- = tf
s^2 + 25.88*s + 1.421Since the numerator has a non-zero coefficient for "s" I am wary about equating
25.88 = 2 * zeta * omega [the stuff we usually do for...
Homework Statement
A spring mass system has the equation of motion:
c1e^(-t)*sin(t) + c2e^(-t)*cos(t) + 3*sin(t)
Is there damping in the system? Is there resonance in the system?
The Attempt at a Solution
If I had to guess I would say that the 3*sin(t) at the end of the equation...
Homework Statement
I am asked to write down the equation of motion of m with respect to O, hence show that x(t) satisfies the differential equation.
m\ddot{x}+r\dot{x}+kx=mg+kl_0+m\ddot{y}
See attached diagram.
Homework Equations
I have the force of the spring H, the Damping R and the...
I have a data of a system (2nd order spring-mass-damper). From the looks of it, the system is quite certainly overdamped. Can someone guide me as to how to find the damping ratio?
Regards,
-sgsawant
Homework Statement
A physical pendulum consists of a uniform sphere with radius r=2.5cm and mass M = 0.5kg attached to a uniform rod with length L = 1m and mass m=250g
The friction of the suspension and air moderately reduce the amplitude of oscillation by factor of 2 in 19.6s. What is the...
Hi there,
Sorry typo in the title and I can't figure out how to change it!
I am just wondering if anyone can help me - does damping (drag) increase the period of a pendulum? As opposed to if it was in a vacuum?
I have been trying to figure this out for some time - I know that drag is dependent...
Homework Statement
I am trying to solve how to select a vibration isolator for a machine to be mounted on a vibrating surface. I know the disturbance frequency, 22.5Hz and the mass of the machine is 40kg. I have selected some commercially available rubber isolators and subsequently know their...
So I am trying to calculate the damping coefficient of air passing around a piston that is oscillating in a tube. The idea is completely theoretical. I don't have any real data.
As far as i understand:
1. The viscous sheer stress = mu.du/dy
2. Therefore the viscous sheer force = (piston...
A mass weighing 32 pounds stretches a spring 6 inches. The spring constant is equal to 64 lb/ft.The mass moves through a medium offering a damping force that is numerically equal to \beta times the instantaneous velocity. Determine the values of \beta>0 for which the spring/mass system will...
Homework Statement
I doing a investigation coursework at the moment for physics A2. I am investigating how the viscosity of oil is affected by the temperature. I am attemping to prove the viscosity decreasing by showing that the damping constant decreases.
I have attached a excel workbook...
This is not homework, I need someone to verify (9) and (10) below whether I am correct because I don't have the answer. I need to find the solution of the following:
Question
Find the solution of the equation for damping vibration string stretched from x=0 to x=L where
\frac{\partial ^2...
Hi, my question is about determining the damping ratio for the upper spring-damper part of the system given in the link. Is it still r2/(2*sqrt(k2*m2)) or something equivalent should be determined?
http://img217.imageshack.us/img217/3148/sprdampmass.png
Thank you!
Homework Statement
I am working with a problem of damped harmonic motion. I am given that the motion is in a medium that exerts a force of 2N when the speed is 4 cm/s. The mass is 5kg.
Homework Equations
C = F/v
The Attempt at a Solution
I thought that the viscous damping...
Evening All,
I am looking at a problem where there is essentially a hydraulic cylinder containing a double acting type rod (with an annulus). There will be some holes in the annulus, which will allow fluid to pass through once there is a load on the end of the rod causing it to extend. The...
Hi all,
I have recently been shown a diagram of pressure versus piston position for a particular heat engine. The system is based on a Joule cycle and is designed to take a drive stroke at constant pressure.
Now what I'm trying to understand is, the pressure appears to 'wobble' slightly...
The problem is:
Two damped harmonic oscillator are coupled. Both oscillators has same natural frequency \omega_0 and damping constant \beta.
1st oscillator is damped by 2nd oscillator. Damping force is proportional to velocity of 2nd oscillator. And, vice versa, 2nd oscillator is...
I am given the following information:
A 2.20 kg mass oscillates on a spring of force constant 250.0 N/m with a period of 0.615 s,
and I am asked to find the damping constant. Can someone tell me what equation to use?
Homework Statement
A mass spring system has the following parameters: damping constant is 1.00 Ns/m spring constant is 1.00N/m and mass is 1.00 kg The mass is displaced from equilibrium and released. Through what minimum number of oscillations must the mass move in order to reduce the...
Does anyone know the highest alpha (Gilbert damping ratio) you could get on ferromagnets?
People for various reasons aim for the lowest alpha and it is around 0.008 these days (dimensionless). But I need to know whether higher values are possible or not.
A brief reminder on what alpha is: It...
Hi
I am new to this community, so don't beat me up too hard :).
I have a question about the Hamiltonian when it will simulate the principal system as a harmonic oscillator interacting with the environment which is also an harmonic oscillator (page 291 in "Quantum computation and Quantum...
Homework Statement
I'm a little ashamed to post this, because I bet I'm missing something obvious, so try not to laugh...
A freely rolling freight car weighing 10^4 kg arrives at the end of it's track with a speed of 2 m/s. At the end of he track is a snubber consisting of a firmly anchored...
I have already built most of the chopper but am trying to add an accelerometer. Let's say the blade is rotating at 600rpm, this is causing vibrations throughout the vehicle at 10hz. I want to make a compartment which doesn't feel most of these vibrations. I'm thinking of building something using...
When a forced oscillation is damped, it is true that the frequency at which resonance occurs decreases right? so does this mean that the natural frequency has decreased too or does it only mean that resonance does not occur at natural frequency when being damped?
I'm using a 3rd party physics engine to run rigid body physics. It just updates the bodies once every 16 ms or so. I'm trying to write an algorithm to predict where free-falling bodies will be in 2 seconds using standard physics equations. I'm having trouble with predicting angular velocity and...
Homework Statement
I want to find the damping coefficient of a spring of free length 36.3mm, with load mass of 0.036kg.
Homework Equations
i need the amplitude of this system, i have the angular frequency, but not the damping ratio. So i was trying to use the formula:
damping...
Hi guys, working a project where I need to guess the damping ratio (used for a numerical analysis) based on other properties of a material. We're looking to use an RTV as a vibration damper (we don't need a lot) but I can't seem to get any vibrational properties (called Honeywell, Dupond...
Hello MechEs (or anybody else who'd care to reply)
I'm about to get a small, but fairly sensitive analytical scale recently (down to 0.01 mg) and now I'm trying to figure out a way to dampen ambient vibration from the room and its surroundings (people walking around, HVAC, etc.)
I've got a...
In the design of a loudspeaker, one intuitively seeks a critically damped alignment. We must consider the electrical resistance of the coil, magnetic field strength, mechanical resistance, mechanical compliance, and mass (diaphragm + acoustic load) of the system.
The electrical resistance...
Homework Statement
A 50.0g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. It is released with an amplitude 0.300m. A damping force Fx = -bv acts on the egg. After it oscillates for 5.00s, the amplitude of the motion has decreased to 0.100m.
Calculate the...
Just carrying out calculations on a rear bicycle shock. Got my hands on one and intended to calculate spring stiffness and damping coefficent practically.
Did it on the spring using a tensile tester and have come up with a spring stiffness value of 130000 n/m2. (750 lb/in).
Problem when i...
Lets say i have a magnetic pendulm, (basically a barmagnet suspended from a with a string tabletop) and a conductor at the bottom.
The conductor will ofcourse have Foucault currents generated in it, and this due to conservation of energy, will slow down the swinging of the pendulum, reducing...
Homework Statement
Hello, I am doing a project which requires damping and have decided to use some viscous damping. It is simply on a hacksaw blade with a weight on the end. Therefore, other than just trial and error I would like to calculate the range of viscosities that may be useful for...
Greeting every one.
In Duffing equation, the damping coeffecient usually assume possitive values (<<1). However, at certain cases, the damping coeffecient may asume negative values.
Can anyone explain the meaning of positive and negative damping in Duffing equation as well as in real physical...
I have a reciprocating pump running 350 RPM, 2.25" stroke. Piston is double acting (ie: force in both directions). Load is ~30,000 pounds. There's a very small clearance in the coupling between piston and drive train, and this coupling goes through the same motions as the piston (it is...
im trying to model a mass hitting a block of honeycomb aluminum with a DE.
is the whole mx"+bx'+kx=F(t) eqn. void because b isn't viscous? Is there a way to get around that?
Homework Statement
A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the top of the lamppost is 6.5 cm at the moment the quake stops, and 8.0s later it is 1.8 cm.
What was the time constant for the damping of oscillation?
What's the...
Hi,
I am working on a problem with a free hanging mass attached to a spring and damper in parallel. I believe my system equation is as follows:
my'' = mg - by' - ky
My questions:
1) It has been a while since I've taken this course and just wanted to confirm I wrote my system...