Vibrations Definition and 216 Threads

Hi, I'm trying to calculate the vibrational energy of a water droplet for a given vibrational amplitude. Rayleigh wrote about this in Proc. R. Soc. Lond., volume 29, 1879, "On the Capillary Phenomena of Jets", Appendix II, but he makes some simplifications (as I understand it) and I also...

I've heard light compared to vibrations under the earth. The "waves" between the tectonic plates are simply a 'state', or 'action', i.e, the action of millions of atoms "bumping" into each other with their opposite charges (all the valence electrons repel other electrons). From my...

Hi, What is the material which would develop powerful vibration for a sustained period when they are stroked with another material(may be the same or a different material).

Homework Statement From A.P. French, question 3-10. I'm having trouble decoding part b. /Do not solve/ please help me find what it is asking. ------- A metal rod, 0.5m long, has a rectangular cross section of 2mm2. (a) This question provided me with information to calculate young's modulus...

Homework Statement Suppose the motion of a spring has natural frequency 1/2 and is undamped. If the weight attached is 32lb, write a differential equation describing the motion. Homework Equations my''+ky=F_ocosωt 32y"+8y=? ω_o= (k/m)^.5 The Attempt at a Solution → .5=(k/32)^.5 → k=8...

what exactly are residual modes of vibrations? I have come across this terminology in various fem solvers like ansys and pam crash.

Author: A.P French Title: Vibrations and Waves Amazon Link: https://www.amazon.com/dp/0748744479/?tag=pfamazon01-20 Prerequisities: Level:

Hi, I'm reproducing a measurement of vibrations and I would like your help with a certain question I have. I have a rectangular plate supported by two rods and I want to measure it's fundamental flexural vibration frecuency, among other things. As a base I have a report of such a measurement...

Is it true that strings can vibrate in certain manners in which they cause a "ripple effect" in spacetime, affecting the topology of the higher dimensions, causing these different timelines to occur in which you have changes so minor as to electrons a plank's unit to the right, or so drastic as...

A tuning fork vibrates 235 times in 3.1 seconds with an amplitude of 0.59mm. Determine.. i) its frequency ii) its period iii) the distance the end of one of the fork tines travels in one second for i) The answer I got is f=75.81Hz ii) The answer I got is 0.13s iii) ?

Homework Statement a)x=cos2ωt, y=sin2ωt b)x=cos2ωt, y=cos(2ωt-∏/4) c)x=cos2ωt, y=cosωt draw the graphs of Simple Harmonic Motions.Homework Equations parametric and complex harmonic motion equation is needed.The Attempt at a Solution No attempt to solution.I can't do anything,because I can't...

Hey everybody, I'm trying to figure out what the vibration modes of a circular membrane would look like if we put some sound through it. As you may know does a circular membrane with clamped edges at radius a behave according to the wave equation. The general solution thereof has the form...

hello all.there is a electric hoist cradle(Temporary personnel lifting;make fixator) which one of our contractor uses to clean the outside glasses of a high rise building.the cables are suspended up at the top railing with fasteners and then the electric motor escalates the cradle for use.the...

I was wondering what the common methods for solving such a system are: 2 m \ddot{x} - m l \ddot{θ} θ + k x = 0 m l^{2} \ddot{θ} - m l \ddot{x} θ + m g l θ = 0

I know that accelerating electrons in a solid are responsible for the emission, absorption and reflection of light. However, what role do the lattice vibrations play? These oscillating atoms are charge distributions and should emit radiation too, right? As far as I can remember, the...

And vehicles on the ground as well, in particular heavy ones like trucks. How do the ground and windows to vibrate?

If forced vibrations from one object to another were strong enough, would the second object start adjusting its shape to match the first?

hi guys, I need a vibration book to download... any1 to help please?

According to quantum mechanics, every particle has an uncertainty of position and momentum. Particles have quantum vibrations. So is it possible for all the atoms in an object to vibrate at the same time in the same direction making the object as a whole move? If so, what kind of energy would...

Good evening, I am unsure as to whether or not I am posting this question in the apropraite section of the this forum and apologize if I am not. With that said I will let you in on the question that I have for you tonight. I am currently a fourth year undergraduate student pursuing a...

A stretched string of mass m, length L, and tension T is driven by two sources, one at each end. The sources both have the same frequency  and amplitude A, but are exactly 180 degrees out of phase with respect to one another. (Each end is an antinode). What is the smallest normal mode...

I know that particles in a solid are not fixed. They are constantly vibrating about their mean position. That is because of their kinetic energy. I was imagining a situation, lets say solid moves towards left of it's mean position. then the inter-molecular forces of attraction on the left...

Homework Statement what distance x from the axis of variation O should be 1 kg slider, the system oscillations period is 0.9 s? T=0.9 s; the spring stiffness k=75 N/m; slider mass m=1 kg; beam mass m=3 kg; Homework Equations I\varphi(over letter "..")+k\varphi=0 \varphi(over...

Hi, Please can anyone help me here? Consider the link below; http://online.physics.uiuc.edu/courses/phys193/Lecture_Notes/P193_Lect4_Ch4_Part2.pdf I'm just trying to qualitatively undestand the pictures in the above link. Consider Page 2 of 18 Now, consider figure 3.6...

Homework Statement A 1.50-kg ball and a 2.00-kg ball are glued together with the lighter below the heavier one. The upper ball is attached to a vertical ideal spring of force constant 165 N/m, and the system is vibrating vertically with an amplitude of 15.0 cm. the glue connecting them breaks...

Homework Statement Find the general solution for the differential equation Homework Equations y'' + 16y = tan(4t) The Attempt at a Solution I get C1cos(4t) + C2sin(4t) = 0 for my homogeneous equation. I did the usual method of undetermined coefficients (I think I took all of the...

Homework Statement A mass moves under a potential V (x) = V0 cosh (x / x0 ) , where V0 and x0 are constants. a) Make a sketch of V(x) b) Find the position of stable equilibrium c)Show that the frequency of small vibrations about this point is the same as it would be if the mass was in...

I'm not sure whether to put this in Earth or Astrophysics. How far would these sound vibrations/waves travel? Do they just stay within the Earth, or is it possible for them to travel through space; and if so, how or why or is it possible for these vibrations to attract asteroids?

in a spring mass damper system subjected to a periodic force. the response of the system only depends on the force and the restoring forces caused due to the spring is ignored because the damper is assumed to have taken care of it. now it's here that my confusion originates. in a damped free...

hi this is word21. I have a question to anyone who can help in any way.is there a mathmatic form. that is best to use to asign integrals to musical scales as in a=x number

Homework Statement anyone have any suggestions for devices which generate vertical vibrations, preferably of variable amplitude (say, up to a cm or so) and of variable frequency (around 10hz) which can be used to vibrate a container full of, say, sand? Homework Equations umm... The...

Homework Statement An exhaust fan mass 90 kg operates at 1100 rpm and is supported by an UNDAMPED vibration isolator i.e a spring that has a stiffness of 220 kN. If the harmonic force produced by the fan has a magnitude of 12 kN determine: a) The transmitted force through the isolator to...

Hi people can anyone help me? I need to know how much energy it takes to vibrate a mass at a frequency and speed. How much energy is there in a mass of ex. 100Kg at 10Hz and a speed of 10mm/s ? Tangs!

Homework Statement I need to calculate the frequency, angular frequency and period of sinusoidal vibrations in simple harmonic motion. The acceleration amplitude is 10g (98.1m s-2) and the vibration amplitude is 2cmHomework Equations The equation I have for frequency is f=(√(a/A))/2*pi where a...

Hi, Can anybody recommend an advanced book concerning mechanical vibrations? I'm especially interested in vibrations of a spehere, hemispehere and bell. Thank you!

Homework Statement A spring and dashpot system is to be designed for a 32lb weight so that the overall system is critically damped. (a) How must the damping constant γ and spring constant k be related? (b) Assume the system is to be designed so that the mass, when given an initial velocity of...

Homework Statement A piston of mass 4.53(kg) is traveling in a tube with a velocity of 15.24(m/s). It engages a spring of stiffness 350 (N/cm) and a damper with a coefficient of 1.75 (N.s/cm) What is the maximum displacement of the piston and how long does it take to reach this point...

Homework Statement In his presentation of the de Broglie wavelength and the wave/particle duality, my quantum prof. has an exercise: "Find the de Broglie wavelength of a molecular vibration. Do quantum or classical laws apply?" Homework Equations wavelength = h/(momentum) ...

Hello. So today I came up with an idea that since light if vibration as well as sound, could sound emit light? I know through sonoluminescence light is emitted from water using the three sides of space and vibration. I just thought it might be cool to play a keyboard or something and have...

Hi I have a few questions i need some help on. Homework Statement The position of a particle is given by the expression x=(4.00m) cos(3.00\pit+\pi), where x is in meters and t in seconds. Determine (a) the frequency and period of the motion. Homework Equations f=\frac{1}{T}...

Could someone please help me get a very basic intuitive understanding of what rotational and vibrational quantum numbers mean? For simplicity, assume a diatomic molecule. For example, does a higher rotational quantum number mean that the molecule is rotating faster? Is the vibration number a...

Homework Statement A spring, of negligible mass and which obeys Hooke's Law, supports a mass M on an incline which has negligible friction. The figure below shows the system with mass M in its equilibrium position. The spring is attached to a fixed support at P. The spring in its relaxed state...

Is it possible to predict theoretically the maximum amplitude of vibration that atoms of a metallic species, like Copper, will exhibit at a given temperature?

Can Wilson's GF (FG) Matrix Method be applied to linear molecules as well as nonlinear? For example, can it be applied to a linear chain of hydrocarbons? What are some of the restrictions?

What do i and j stand for here? My teacher substituted them for masses (in our example, atoms in a molecule) although I'm not sure that makes sense since when you take the Hessian force constant matrix (on the next page of the link) I believe it must have dimensions determined by the number of...

Homework Statement A thin beam of length L (flexural Stufness EI, cross-sectional area A, density p) is connected to a linear spring of stiffness K_s at each end. Derive the governing equation for the natural frequencies of transverse vibrations from the beam equation and boundary conditions...

Homework Statement A cord of length L density p and cross-sectional area S is under tension T with the left end fixed and the right end attached to a spring-mass sstem. Show that the equation for the natural frequencies is given by: tan(wL/c) = -(T/kL)((wL/c)/(1-(w/w_n)^2)) Homework...

Hi, This is second week of our class, despite understanding what is being taught or being assigned to read, I'm having troubles with homework...it's taking too long. Our professor gives out challenging problems (or so the other classmates say), however i think i could work them out...

Homework Statement Prove that the equation x(t)=e-ζωnt(a1ejωdt+a2e-jωdt) is the same as x(t) = Ae-ζωntsin(ωdt+φ) Homework Equations Refer to the first question's answer. The Attempt at a Solution Have no idea how to start this problem. That is probably because I am low on funds and...

Homework Statement this is part of a problem sheet and is the last question i have left to work out. i have been given solutions of 105dB and 86dB. A person is in a room in which two sources of sound of loudness 100 dB and 98 dB are emitting the same frequency. The sources form a...