Oscillations Definition and 487 Threads

Hello, My first post and it's going to be a question =) I hope I can get some replies. Here we go :- I'm constructing a simulation of a motorcycle with rider and I have encountered a problem with oscillation (lack of stability) that I just can't find a solution for. Basically the bike will...

Two springs with a spring constant of k = 6430 N/m are joined and connected to a block of mass 0.245 kg. The system is then set oscillating over a frictionless surface. What is the frequency of the oscillations? This is what I think is the correct approach to this question: since the...

A 0.49 kg mass attached to a spring (k = 19.8 N m-1) is performing SHM on a smooth horizontal surface. Calculate the periodic time of these oscillations, in s. what equation links with T=2pi/w to give T or how do i use a=-ky/m. thanks in advance

I've been busy finishing my online physics homework, and I cannot get this problem for the life of me (which is annoying because I just finished the relativity and lorentz transformation assignments). If you are good at physics and think you know how to do it, please post your line of thoughts...

Hi, A particle is subjected to a central potential of: V(r) = -k\frac{e^{-\alpha r}}{r} Where k, \alpha are known, positive constants. If we make this problem one-dimensional, the effective potential of the particle is given by: V_{eff}(r) = -k\frac{e^{-\alpha r}}{r} + \frac{l^2}{2 m...

I have to make a homework problem about neutrino oscillations, but I already don't know how to answer the first question. Let \Psi_i, i = 1,2 be two spinor fields, with field equation \gamma^{\mu}\partial_{\mu}\Psi_i = - \sum_{j=1}^2 M_{ij} \Psi_j where M_{ij} is a hermitian matrix. Suppose...

Is there a way to find the moment of inertia of an object that is hung from its center of mass, knowing the radius of the string, the period of the oscillation, and the mass of the object? I've been trying to think of how to do this and I don't even know where to start.

I'm doing this problem from Mastering Physics, and I'm really stuck on this problem Assume that, when we walk, in addition to a fluctuating vertical force, we exert a periodic lateral force of amplitude 25 N at a frequency of about 1 Hz. Given that the mass of the bridge is about 2000 kg...

For small oscillations, the oscillation behaves like a spring, because the potential energy function can be approximated by a parabola at the equilibrium point. Now, the effective spring constant in these situations is equal to the second derivative of the potential energy function, and so the...

A square wave pulse (generated using an oscilloscope) is used to induce damped oscillations in a circuit that consits of an inductance L and a capacitance C connected in series. A resistance is present even though no resistor is present in the circuit. a) Find the differential equation for...

A frictionless cylinder of cross-sectional area A contains a gas that is trapped by a piston of mass m that fits the cylinder tightly but is free to move up and down. It is open to atmospheric pressure (PA) on one end. The piston is slightly displaced and when released oscillates about its...

1. A block of mass 1.5 kg is attached to the end of a vertical spring of force constant k=300 N/m. After the block comes to rest, it is pulled down a distance of 2.0 cm and released. (a) What is the frequency of the resulting oscillations? (b) What are the maximum and minimum amounts of...

A 10g bullet embeds itself in a 0.5kg block which is attached to a spring of force constant 36N/m. If the maximum compression of the spring is 1.5cm, find a)the initial speed of the bullet and b)the time for the bullet-block system to come to rest. can someone give me some help with the above...

Hi, So I'm having a little bit of trouble answering a couple of simple questions regarding simple harmonic motion... [Image] All of this is regarding the really simple image ^ Oscillations are not always described by equations; you should also be able to analyze the graphical...

A 2.12 kg mass on a frictionless horizontal track is attached to the end of a horizontal spring whose force constant is 4.83 N/m. The mass is displaced 3.12 m to the right from its equilibrium position and then released, which initiates simple harmonic motion. What is the force (including...

Why does everything have a natural frequency at which it oscillates when struck by a single force and then left to oscillate? Does everything only have one? Does it vary depending on what the original force to cause it to oscillate was? Also, why does force imposed at natural frequency casue...

A heavy circular disc with radius R with mass M is fastened to a light string rod. The mass of the rod is negligible compared to the mass of the disc. The system can oscillate as a physical pendulum aout a fixed horizontal axis. The length of the rod is L. Determine the period of small...

A homogenous disc of radius r = 0.20m can oscillate as a physical pendulum around a horizontal acxis O located 0.10 m from teh center of the mass of the disc. The disc is perpendicular to O. Find the period of oscillations of the disc. And graivity is 9.8 m/s^2 Is this anything like a...

A meter stick, suspended at one end by a 0.502m long light string, is set into oscillation. Determine the period of oscillation in seconds. At first I thought this would be a rather simple problem, so I did T=2pi*sqrt(L/g) but apparently this is very wrong. Then I tried w=sqrt(g/l)...

how would one go about finding the direction of oscillation for a differntial equation? for example \frac{d^2 y}{dt^2} = -2y has eigenvalues \pm \sqrt{2}i and the corresponding matrix is \left(\begin{array}{cc}0&2\\-2&0\end{array}\right) so the solution curves will form closed loops...

If you have a particle that is attached to two elastic strings moving with SHM. How can I determine whether or not the particle performs complete oscillations? For example I have a particle that's at a point equidistant from A and B (which are the ends of the two strings), and say that the...

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...

A pendulum of length 1.00 m is released from an initial angle of 18.0°. After 500 s, its amplitude is reduced by friction to 5.5°. What is the value of b/2m? i have no idea how to do this prooblem, the book goes over this section really briefly... what the heck is b/2m?

A 2.00 kg mass attached to a spring is driven by an external force F = (2.00 N) cos (3t). Assume that the force constant of the spring is 25.0 N/m. (a) Determine the period of the motion (b) Determine the amplitude of the motion FOr part A, i tried the T=2(pi)/w formula, and i got...

A graph resembling that of cos(x) is presented in which x is the vert. axis and t is the horizontal axis. Assume that the x coordinate of point R is 0.12 , and the t coordinate of point K is 0.0050. So . . . R = (0 , 0.12 m) K = (.005 s ,0) What is the period T of oscillations? I...

A spring with spring constant 11 N/m hangs from the ceiling. A .540kg ball is attached to the spring and allowed to come to rest. It is then pulled down 6.2cm and released. I need to find the time constant if the ball's amplitude has decreased to 2.8cm after 31 oscillations. I need help...

A 1175 kg car carrying four 80 kg people travels over a rough "washboard" dirt road with corrugations 4.0 m apart which causes the car to bounce on its spring suspension. The car bounces with maximum amplitude when its speed is 17 km/h. The car now stops, and the four people get out. By how much...

I have a system that consist of the first spring attached to a ceiling and a first mass is attached to this spring. Then a second spring is attached to this first mass. Finally I have another mass attached to the second spring. So all of it is just hanging down. (I hope this is a good enough...

I am stuck in this question: A loaded test tube of mass m is floating in a fluid. The test tube has a cross-sectional area A and fluid has density p. Comment on the feasibility of using the frequecy of oscillation of the tube to measure the density of the fluid. I would say this is...

can some1 help me w/this question...like i don't know where to start...thanks in advance A spring is haning down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and...

A neutron plus a W particle yield a proton an electron an antineutrino and a W- particle. The reactants - the neutron and W particle do not have oscillating masses. One of the products does - the antineutrino. Shouldn't there be an oscillating mass on both sides of the equation?

Hi there, I was hoping that someone would be kind enough to help me out with this question. I don't even know where to start Use T=Ia (where T=torque) to show that if an electric dipole with dipole moment of magnitude p and moment of inertia I is oriented with its dipole moment making a...

Why can't closed pipes produce even numbered harmonics? I have been given an explanation, but it isn't very detailed. I'm doing A2 (or just A level) physics, so an explanation suitable for this level would be greatly appreciated! Thanks.

Prove that the period of a simple pendulum doing small oscillations is equal to: 2(py)x(square root of: l/g) where py is 3.14..(obviously..lol)... l is length of the string of the pendulum and g is gravity Also... the pendulum is basically just a ball on a string moving from side to...

What is the frequency of SMALL oscillations about è[t] = 0 of the following expression: Assume that w t is a constant. A Cos[w t - è[t]] + B è''[t]==0, where A and B are arbitrary constants? If you expand the Cosine term, you get A Cos[w t] Cos[è[t]] + A Sin[w t] Sin[è[t]] +B è''[t] ==0...

For forced oscillations we have \frac {d^2x} {dt^2} = -\omega_N^2x+\frac {F_0} {m} cos\omega_Ft The solution is x(t)=\frac {F_0} {m(\omega_N^2-\omega_F^2)}cos\omega_Ft This doesn't seem to reduce to oscillations where F0=0. Shouldn't it?

Hi. I'm new and hope you can point me in the right direction. I'm not too sure how to write expressions here. Have to do some tests. So I've attached a *.doc file that outlines the problem and what I'm looking for. I'm too sure how this all works so I might have to try again. In short it's...