Oscillation Definition and 770 Threads

I have been pondering these two questions for a while: How many normal modes of oscillation or natural frquencies does each of the following have: 1. A simple pendulum 2. a mass oscillating on a spring :confused: Thanks! CIB

In the problem, A string's tension is adjusted so that the speed of sound waves on the string equals the speed of sound in the air. The fundamental mode of oscillation is set up on the string, and in a pipe with one end open and one end closed with a length of half of the string resonance is...

A 5.00 g bullet moving with an initial speed of v0 = 405 m/s is fired into and passes through a 1.00 kg block, as in Figure P13.58. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 950 N/m. Figure P13.58 (a) If the block...

What is the similarity between Simple Harmonic Oscillation(SHO), simple pendulum and a physical pendulum? I never understood it. Like what's the physical significance of SHO, or the energy and momentum change in oscillating motion?

Homework Statement Homework Equations E = 1/2mv^2 + 1/2kx^2 = 1/2kA^2 omega = Sqrt(k/m) f = omega/(2pi) = 1/(2pi)*Sqrt(k/m) The Attempt at a Solution m = 150kg M = 150kg + 50kg = 200kg x = 15ft = 4.57m h1 = 3.04 m h_real = ? x = A? mgh = (1/2)Mv^2 + (1/2)kx^2 Since there is...

Homework Statement So a 2kg block hangs from a rubber cord and it's being supported so that the cord is not stretched. The unstretch length of the cord is .500 meters and its mass is 5.3 grams. The spring constant for the cord is 105 N/m. The block is released and stops at the lowest point...

In the linear oscillator the motion is "back and forth" and angular frequency suggests something "going around". Try to explain how "back and forth" is related to "going around". This question is pertaining to the oscillator machine. It is connected with two strings, and is a cart thing with...

The frequency of oscillations of, f, is equal to 315 Hz. What is the value of the period of oscillations, T? I understand that the speed of the wave is related to the wavelength and the frequency according to this: v = w/f = w/T But, how am I to solve for T if I don't know the value of...

The suspension system of a 1700 kg automobile "sags" 13 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 43% 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...

Problem: A 1.0 kg mass is riding on top of a 5.0 kg mass as it oscillates on a frictionless surface. The spring constant is 50 N/m and the coefficient of static friction between the two blocks is 0.50. What is the maximum oscillation amplitude for which the upper block does not slip...

Q: A sinusoidal wave of the form: y = A \sin{kx - \omega t} is traveling along a string in the x direction, where A = 0.88 mm, k = 2 m^-1, omega = 25 rad/s, with x in meters and t in seconds. For this string, the mass per unit length is given by mu = 0.01 kg/m. For a length segment delta x = 1...

(9) A physical pendulum consists of a meter stick (1 meter long) pivoted at a distance 20 cm from one end and suspended freely. The frequency for small oscillation is closest to (a) 0.67 Hz (b) 0.8 Hz (c) 1.1 Hz (d) 1.7 Hz (e) Insufficient information (Hint: The moment of inertia of a stick of...

the displacement of a simple harmonic oscillator versus time is described by the function x = Asin(wt + phi) find the speed when the displacement is sqrt(3) A/2 the answer is piA/2 but I have no idea how the professor got it... the function for the velocity at point x in our book is v_x_ =...

A 4.40 kg block hangs from a spring with spring constant 1700 N/m. The block is pulled down 6.30 cm from the equilibrium position and given an initial velocity of 1.10 m/s back toward equilibrium. I have no idea how to start such a problem. If anyone could give me a idea of where to start Id...

What is the period of oscillation in the screenshot? http://img296.imageshack.us/img296/5296/image12yt4.gif Period is just the time it takes to travel from one point on the graph to the exact same point again in the same direction. Looking at the graph I would guess somewhere around 2.5...

1)The time period of a dip needle vibrating in the vertical plane in the magnetic meridian is 3 seconds. When the same magnetic needle is made to vibrate in the horizontal plane, the time period of vibration is 3(2)^(1/2). What is the angle of dip of the place? I think in both the cases, it is...

1)A thin rectangular magnet suspended freely has a period of oscillation of 4 seconds. If it is broken into 2 halves (each having half the original length) and one of the pieces is suspended similarly. What is the new period of oscillation? I solved it in the following way: Let E1 and E2 be...

A particle of mass m is moving under the ocmbined action of the forces -kx, a damping force -2mb (dx/dt) and a driving force Ft. Express the solutions in terms of intial position x(t=0) and the initial velocity of the particle. For the complementary solution, use x(t) = e^(-bt) A sin (w1t +...

I have several question to ask? 1)why the voltage oscillates and amplitude decrease ? 2)how the frequency be affected by varing capacitance value and removed double c core ? 3)what is the corresponding physical quantities between spring -mass oscillation and electical oscillation? I have a...

I tried to work out this problem a few different ways but I never get the right answer. A block hangs in equilibrium from a vertical spring. When a second identical block is added, the original block sags by 8.00 cm What is the oscillation frequency of the two-block system? What I've...

I understand that when the oxygen molecules are heated up in a pot of water, they will vibrate increasingly as they get hotter. I guess that's what those little bubbles are at the bottom of the pot. At some point, they will suddenly release. Is there a name for this threshold and a way to...

can one harness the energy from a charged particle violently oscillating in a confined space.

What is the difference between vibration and oscillation?

what is the resultant time period when two simple harmonic motions of time periods 3s and 4s superimpose

A spring is stretched 10cm by a force of 3 N. A Mass of 2kg is hung from the spring and attached to a damper which exerts 3 N when the velocity = 5m/sec. There's more but I just need a little help setting it up. I don't understand how to find y (as in yu'(t)). Unless its just 3/5. Just a few...

An underdamped oscillator`s amplitude decreases with the factor of e^-beta*T(damped) in a one cycle, but I am confused how to find the decrease of the amplitude after 10 cycles. Schould I multiply the factor by 10 like (10*e^-beta*T(damped) ) or when I am calculating the factor , should I...

Hi guys, I'm stuck on a problem that states: Two equal masses oscillate in the vertical direction. Show that the frequences of the normal modes of oscillation are given by: \omega^2 = (3 +- \sqrt{5})\frac{s}{2m} and that in the slower mode the ratio of the amplitude of the upper mass to...

In an Oscillating system,as damping increases, the amplitude of the system at the resonance frequency decrease and the resonance frequency also decreased. However why does the reasonce freq decrease? I know how to solve for the new amplitude and ang. freq. mathematically but i do not know how to...

A massless spring hangs from the ceiling with a small object attached to its lower end. the object is initially held at rest in a position y such that the spring is at its rest length(not stretched). The object is then released from y and oscillates up and down, with its lowest position being 10...

A particle of mass m undergoes one-dimensional undamped harmonic oscillation due to a restoring force Fr = -kx. In addition the particle is subject to a constant external force Fext = Fo. a) What is the differential equation that governs the motion of the particle? b) what is the general...

Oscillation Problem. Advice need please :) An object of unknown mass is hung on the end of an unstretched spring and is released from rest. If the object falls 4.27 cm before first coming to rest, find the period of the motion. All i can figure out is that the maximum amplitude is a given...

I have encountered a question regarding a plank shifting in simple harmonic motion on top of two rotating wheels, rotating in exact opposite directions with the same angular velocities and the question requires me to determine the frequency of oscillation, which has got me stuck. I proved that...

A wrecking ball is suspended from a crane by a cable that is 30 m long. How much time is required for such a simple pendulum to make one complete oscillation? no picture was given to me Ok this is a pendulum problem and its asking for time which is the period. So I think that this formula...

Sorry that I had to use an image file, I was having a lot of trouble using the Latex system. http://www.flamingice.5gigs.com/Question.gif Ok... We know the amplitude of the oscillations, and the force per person, so all we need to do is find Fmax, by finding other values and substituting...

A mass m is attached to a massless rod of length L to make a pendulum. In addition, when the rod is vertical, two relaxed springs with constants k1 and k2 are attached on either side of the mass to walls. What is the period of oscillation. I started by writing the potential energy as a...

If a mass (m) at the end of a length (L) on a pendulum starts at an angle of θ from the vertical, what is the minimum inital velocity v0 it must have to just barely make it over the top and not oscillate? This is what I did: \Delta K=mgh\implies v_0=\sqrt{v^2-2gh} but at the top, v is...

Hi, i'm trying to do this problem: ------------------------------------------------------------------- A tympani drum has a billiard ball of mass m resting in the middle. The billiard ball is displaced only vertically, very slightly from its equilibrium, and will oscillate vertically...

solving perpendicular oscillation problems-- lissajous Hi all. Ok, I am not getting how we're to solve perpendicular oscillatory systems. How do the variances in frequency, and phase play into the drawing/solving of these systems? Oh, and this is not a trig class I'm doing. It's an...

Hi, I just want to clarify something. If there is a particle attached to a spring, in which it's maximum velocity is at t=0 towards THE LEFT. Does that mean that when x(t)= Acos(wt+phi) then v(t)= -wAsin(wt+phi) therefore v(0)=-wAsin(phi) = - 20 and Vmax= wa= -20 or positive 20. When it...

A mass m is suspended vertically by a spring of force constant k. Derive the relation \omega \geq \sqrt{\frac{k}{m}} where \omega is the (angular) frequency of oscillation. The only way I know to do this is to solve the differential equation \ddot{y} + \frac{k}{m}y = 0 using y = A\cos(\omega t +...

One has to provide an input to start an oscillation, but that input can be removed and the oscillation will continue. So when we talk about space time, if the original, "input", is no longer present we are looking at an effect and have to guess the cause. So could we work backwards...

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 kg of Italian ham. The slices of ham are weighed on a plate of mass 0.400 kg placed atop a vertical spring of negligible mass and force constant of 200 N/m. The slices of ham are...

Hi I'm attempting this question and I'm wondering if this is the correct way of going about it or if I'm completely off track: For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 kg of Italian ham. The slices of ham are weighed on...

i am going to write a report about damped oscillation . as i planned , i will discuss the amplitude decays exponentially with time , application . but that are too little to talk to then what things need to be further discuss? and one question if i use one small card and bid card to damp...

A hoop of radius 0.130 m and mass 0.420 kg is suspended by a point on its perimeter as shown in the figure. If the hoop is allowed to oscillate side to side as a pendulum, what is the period of small oscillations? T = 2pi (mgl/I)^.5 I assume that l = r, since center of mass is in the...

A 55.0 kg circus performer oscillates up and down at the end of a long elastic rope at a rate of once every 8.40 s. The elastic rope obeys Hooke's Law. By how much is the rope extended beyond its unloaded length when the performer hangs at rest? I drew a free body diagram and summed up the...

Hi, I'm Steve, the new guy. After a long literature search, I have been unable to find any reference to experimental confirmation of neutrinos of any type oscillating in a vacuum. All of the many models under discussion seem to assume that they oscillate, but nowhere have I been able to find a...

I am confused! Forced oscillation is the one which a periodic force is imposed on a oscillating system. For a damped oscillator, the damping force is proportional to velocity which varies periodically. Does it mean that the damping force is a periodic force and the damped oscillation is a...

'A block is attached to a vertical spring whose spring constant is 150 N/m. It is droped from rest with the spring at its natural length, and the block has a speed of 75.0 cm after droping a distance of 8 cm. Calculate the mass of the block.' Now i know k = 150. v = 0.75 and x = 0.08. I also...

Three Interconnected Questions: 1. When an atom is excited by a visible photon (KE=1 eV), does the probability (radial) density increase for the valence electrons or not? 2. If the probability density has increased outward, then what normally causes the excited state to begin the process...