Oscillation Definition and 740 Threads

A bungee jumper, whose mass is 87 kg, jumps from a tall platform. After reaching his lowest point, he continues to oscillate up and down, reaching the low point two more times in 8.5 s. Ignoring air resistance and assuming that the bungee cord is an ideal spring, determine its spring constant.

Homework Statement An oscillating LC circuit has a current amplitude of 7.20 mA, a potential amplitude of 250 mV, and a capacitance of 240 nF. (a) What is the period of oscillation? (e) What is the maximum rate at which the inductor gains energy? Homework Equations Possibly: Energy stored in...

Homework Statement Measure the period of oscillation of a meter stick suspended at one end for small amplitudes. Does T = 2*sqrt(2I/mgL) when I is the rotational inertia about one end? Derive this relation. Homework Equations I = rotational inertia m = mass g = gravitational...

Homework Statement A gibbon, hanging onto a horizontal tree branch with one arm, swings with a small amplitude. The gibbon's center of mass is 0.410 m from the branch and its rotational inertia divided by its mass is I/m = 0.289 m2. Estimate the frequency of oscillation. Homework...

Please help, if a magnet is displaced from its equilibrium position by a small angle (theta), show that it will oscillate with a period T given by T= 2*pi*sqrt(I/mB) I = moment of inertia of the bar magnet and equals M(L^2 + a^2)/12 B = Earth's horizontal component of magnetic field M is...

Homework Statement A 0.5 kg block attached to an ideal spring (k = 100 N/m) oscillates on a horizontal frictionless surface. When the spring is 12 cm shorter than its equilibrium length, the speed of the block is 1.5 m/s. What is the greatest speed of the block?Homework Equations The...

Do not know how to solve this: A tube 1 meter long is closed at one end. A stretched wire is placed near the open end. The wire is 0.30 meter long and has a mass of 0.010 kg. It is held fixed at both ends and vibrates in its fundamental mode. It sets the air column in the tube into vibration...

Homework Statement A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f = 1.5 Hz. Block B rests on it, as shown in the figure, and the coefficient of static friction between the two is 0.6. What is the maximum amplitude of...

Physics Advanced Oscillation problem, Help Needed! Consider an atom of mass m bonded to the surface of a much larger immobile body by electromagnetic forces. The force binding the atom to the surface has the expression: F= exp((a*cos(z))+(b*sin(z))) +d*tan(z) where a,b, and d are...

Homework Statement A grandfather clock has a pendulum length of 0.7 m and a mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days, providing the energy necessary to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system...

Homework Statement Find the period of oscillation of a bead on a cycloid string. If it matters, the original equations of the cycloid were x=a(\theta-sin\theta) and y=a(1+cos\theta) Homework Equations This is a small part of a larger problem... I found the equation of motion of a bead on a...

Homework Statement How can I calculate the work which is produced by the resistance force in a forced oscillation in one period? The only forces on the oscillatory body are the resistance force and the external force. The oscillatory body is in resonance.Homework Equations resistance force...

Homework Statement "A mass stands on a platform which executes simple harmonic oscillation in a vertical direction at a frequency of 5 Hz. Show that the mass loses contact with the platform when the displacement exceeds 10^-2 m." Homework Equations x(t) = a cos(wt - phi) frequecy =...

Homework Statement A thin uniform rod of mass m is suspended from one end and oscillates with a frequency f. If a small sphere of mass 2m is attached to the other end, does the frequency increase or decrease? Homework Equations The Attempt at a Solution I have reached a conclusion...

Homework Statement Consider the pulley to be ideal. If the system disturbed from its equilibrium position by pulling the right hand mass down a slight amount and then released, determine the frequency and period of the oscillation. Radius of pulley is r=2m and I bar of the pulley is 10kg/m2...

Homework Statement Okay.. so I have tried to do this one but no luck. Homework Equations w= 2 * pi* v 1/2 kA^2= 1/2mv^2 + mgh Alright so the question: The motion of a particle is given by x(t)= 25cm* cos 10t What time is the kinetic energy twice the potential energy? Not...

Homework Statement Steel ruler tip's oscillation amplitude is 1cm, frequency 5Hz. What is the path the ruler's tip goes within 2 seconds? Homework Equations I think I need to find a period so the equations would be T=1/5 s but I'm not sure. The Attempt at a Solution I don't...

Hi all I'm not sure if this question is better suited for the EE thread or diff eq, but I'm trying to understand what the neper frequency, \alpha, signifies. I know it's supposed to be the damping factor and that its units are rad/second, but I'm not sure what that implies. It would seem to...

Homework Statement A spring is hung from the ceiling. When a block is attached to its end, it streches 19.3 cm before reaching its new equilibrim length. The block is then pulled down slightly and released. What is the frequency of the oscillation? Homework Equations f...

Homework Statement Show that the frequency of oscillation, v, of a molecule is related to the form of the inter - atomic potential V(r) about the equilibrium separation, r =ro by the expression, v = (1/2pi).sqrt([d2V/dr2r=ro/(m)]) where m is the reduced mass Homework Equations None given...

In the middle of empty space two equal masses, M = 2.1 solar masses, lie fixed on a horizontal line separated by a distance D = 8.4 AU. Halfway between the masses lies a third mass. The third mass is displaced vertically a distance y where y << D. Due to the gravitational attraction from the...

Homework Statement What would be the mean value of oscillation x if f(t)=P. Where P is a constant force. Homework Equations Not known. The Attempt at a Solution Absolutely no idea where to start, happy to just be pointed in the right direction. Thanks

Electron oscillate at their natural frequency. I know the force that brings them back is a force of attractrion (Coulomb law) but what pushes them away?

Homework Statement Two objects are placed in a 1 dimensional box with springs of different constants at each end of the box. The box is made of wood and has a length of L. The first object has a mass of M and is initially compressed a distance of xinitial onto spring 1 of spring constant k...

Homework Statement A mass attached by a light spring to the ceiling of an elevator oscillates vertically while the elevator ascends with constant acceleration. Is the period greater than, less than, or the same as when the elevator is at rest Homework Equations T=2pi * sqrt(m/k) The...

A snapshot of a standing transverse wave on a flexible string is taken when the displacement is at a maximum showing two trough's and two peaks(1.5 waves). The string is 1.52 m long with tension 4.00 N. The total mass of the string is 10.81 g. Find the period of the oscillation. I found the...

What is mass and speed of the ball? A spring with spring constant 17 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 7.5 cm and released. The ball makes 16 oscillations in 22 s seconds. 1) What is its the mass of the ball? (in...

Homework Statement A mass-spring system oscillates with an amplitude of 3.30 cm. If the spring constant is 231 N/m and the mass is 537 g, determine the mechanical energy of the system. Determine the maximum speed of the object. Determine the maximum acceleration. Homework Equations...

Homework Statement The suspension system of a 2200 kg automobile "sags" 14 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 55% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system...

1. Question A system consists of two blocks, each of mass M, connected by a spring of force constant k. The system is initially shoved against a wall so that the spring is compressed a distance D from its original uncompressed length. The floor is frictionless. The system is now released with...

Homework Statement I am struggling to figure out how one would find the oscillation frequency for a nonlinear system that's experiencing a force such as F = 4x^-2 -2x. Homework Equations The Attempt at a Solution Im really not sure how to approach it. Obviously you can't use...

Homework Statement Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring to her belt and the other end to a hook on the wall of the space...

I have read statements which basically suggest that nuetrino oscillation prohibits any strict statement of conservation of lepton number. Is this true or is it possible that nuetrinos produced along with electrons, muons and taus become entangled so that lepton number is still strictly...

Homework Statement 1. A man's superelastic suspenders catch on a fence post, he flies back and forth, oscillating with an amplitude A. What distance does he movee in one period ? What is his displacement over 1 period Homework Equations x=Acos(wt) The Attempt at a Solution I...

Homework Statement Objective - Record the time taken for a pendulum to complete a full oscillation. Using the equation Time (t) squared = k multiplied by length of string ( l) Homework Equations Any relevant equations to do with oscillation that could help me with this practical...

Homework Statement A pendulum is made of 2 disks, each of mass M and radius R separated by a massless rod. one of the disks is pivoted through its center by a small pin. The disks hang in the same plane and their centers are a distance L apart. Find the period for small oscillations...

can anyone explain to me what is Aharonov Bohm? I read it in wikipedia but I'm still blur :cry: How can we see this effect in quantum dots? For example: GaSb quantum dot in GaAs (holes strongly confined in GaSb, electron is loosely bound due to Coulomb interaction) Any...

Homework Statement A mass M is connected between 2 stretched springs, as shown. The equilibrium length of each spring is L, they are stretched to twice this length when m is in equilibrium. Consider the oscillations in the + and - x direction as shown in the figure...

Wikipedia says that the phenomenon of Neutrino Oscillation implies that the neutrino has a non-zero mass (http://en.wikipedia.org/wiki/Neutrino_oscillation" ). Why is that? Why is it that Neutrino Oscillation can only exist, if neutrinos do have mass?

Am I right in saying that a tapered optical fibre 'collects' light from evanscent field. Why would this mean it needs to oscillate as it scans a sample surface? Cheers! philip

Homework Statement a father and son went on a cruise that's 20 ft long. the dad observed the cruise swayed thru 22 complete oscillations in 38 s, and one wave crest pass per/oscillation. the son noticed that each crest required 13s to reach land and the wavelenght is twice the length of the...

Homework Statement Using the energy method( setting potential energy= kinetic energy) show that the natural period of oscillation of the fluid in a u-tube manometer is t=2PI(l/2g)^(1/2) where L is the length of the fluid column. 2. The attempt at a solution So as you can see I do not...

Homework Statement The figure shows a 230 g uniform rod pivoted at one end. The other end is attached to a horizontal spring. The spring is neither stretched nor compressed when the rod hangs straight down. K=3.0N/m and the length of the rod is 0.20m. What is the rod's oscillation period...

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...

HELP!A problem on oscillation Homework Statement the equation of motion of an object is y(t)=2.0cos(0.5t+pi/4)meter a) Find its maximum acceleration and maximum speed, and its position at the time of these maxima. b) what is the speed of the object when it is +1.2m from its equilibrium...

HELP!A problem on oscillation Homework Statement the equation of motion of an object is y(t)=2.0cos(0.5t+pi/4)meter a) Find its maximum acceleration and maximum speed, and its position at the time of these maxima. b) what is the speed of the object when it is +1.2m from its equilibrium...

Homework Statement Consider a particle of mass m constrained to move on the surface of a paraboloid whose equation (in cylindrical coordinates) is r^2=4az. If the particle is subject to a gravitational force, show that the frequency of small oscillations about a circular orbit with radius...

Hi, Been registered for a while here, but this is my first post, been using the forum as more of a resource before. I am going through some past papers, but I am faltering at 1 question. Homework Statement A particle moving along the x-axis with velocity v experiences a resistive force...

What causes EM radiation?? the answer is in the oscillation of charged particles, but why or how does that produce electromagnetic radiation? How does the fluctuations in the electromagnetic fields cause release of virtual phtotns, or does it, and other EM radiation?? please help me through...

I have many doubts about neutrinos..can someone explain me? 1. All neutrinos and anti neutrinos have different masses..and if the neutrinos oscillate, how the difference in mass is justified? is there any violation of energy conservation? 2. If neutrinos which are leptons oscillate, then...