Oscillation Definition and 770 Threads

Homework Statement A 1.70 kg, horizontal, uniform tray is attached to a vertical ideal spring of force constant 180N/m and a 295 g metal ball is in the tray. The spring is below the tray, so it can oscillate up-and-down. The tray is then pushed down 16.5 cm below its equilibrium point (call...

Hello. I have developped a transimpedance amp using LF356, unfortunately I get an oscillation at 500 kHz of low level (10 mV) but not acceptable. I've tried all classic tricks, decoupling power supplies ... With no real improvement and so I'm going to developped a similar amp using discrete...

Homework Statement Hi I am really stuck on this question. It got handed out to us this morning and is due in Wednesday of this week. Any help would be great thanks. A circular solid coil consisting of a circular disk of radius R = 20mm and mass M = 50 g pivoted through its diameter. It has...

Homework Statement A mass m1 connected to a spring of force constant k is at rest at equilibrium at the origin. It is struck inelastically by a mass m2 moving at speed v0 at t = 0. Find the frequency, amplitude and phase of the resulting simple harmonic motion Homework Equations...

I've got a fairly basic question of mathematical strategy, what technique is used to solve the problem of a forced periodical (but not sinusoidal) oscillation with damping? Do I simply find the general solution to the differential equations of motion?

Homework Statement The displacement of a mass m = 0.01 kg is x(t) = 0.25m sin(62.83t/s − 0.785398) Find its amplitude, its total energy, and its speed at t = 0. Homework Equations E = Av^2 + Bx^2 x = Asin(wt-theta) The Attempt at a Solution i use that above formula to...

Homework Statement The question I have a one-dimensional linear spring with spring constant E. The tension is given by σ = Eε, epsilon = strain.. The left side of the spring is held fixed, the right side has a mass m attached to it. We can neglect gravity. What is the natural oscillation...

Why does the period of oscillation for a mass on a spring depend on its mass? (while in other situations, like a simple pendulum, the mass seems to be unimportant)

Homework Statement Find the period of oscillation T of the spring and mass on the asteroidHomework Equations T=2\pi\sqrt{\frac{m}{k}}The Attempt at a Solution I have found the value for T but was wondering if T depends on the bodies gravity? Is the above equation only applicable to Earth?

Homework Statement I have a linear elastic spring with spring constant E, The spring is mass less, and is held fixed at the left terminal and has a mass m attached on the right terminal. We can neglict gravitational forces. Find the natural oscillation when the tension sigma = E*epsilon...

Homework Statement A mechanical oscillator system is driven sinusoidally with a force amplitude, F(max). The Oscillator resonates at 27Hz. When driven with the same F(max) at 26Hz or 28Hz, the resulting oscillation has half the amplitude as at resonance. When F(max) is instead applied...

Homework Statement Find the frequency of combined motion of the following (a) x = sin (12pi.t) + cos(13pi.t + pi/4) (b) x = sin(3t) - cos(pi.t) Homework Equations The book I'm using states that if the periods are commensurable ie if there exist 2 integers n1 and n2 such that n1T1 =...

Homework Statement The amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. What is the value of the time constant? Homework Equations xmax=Ae^-bt/2m Time constant= m/b xmax(t)= Ae^-t/2(timeconstant) The Attempt at a Solution I'm not quite sure where to...

Homework Statement Let’s assume the MilkyWay disk in the Solar neighborhood has a constant density,P = 0.15 M pc−3. In that case, what is the vertical oscillation frequency in the Solar neighborhood? What is the oscillation period? Homework Equations p=2pie/v from my mechanics class i...

Homework Statement Here on Earth you hang a mass from a vertical spring and start it oscillating with amplitude 2.4 cm. You observe that it takes 3.0 s to make one round trip. You construct another vertical oscillator with a mass 6 times as heavy and a spring 3 times as stiff. You take it to...

Homework Statement Okay here's the problem, normally I can get all this stuff, but right now this is blowing my mind, partly because its too general. "In other problems and examples in the textbook we found the effective spring stiffness corresponding to the interatomic force for aluminum...

Homework Statement Consider a particle moving back and forth on a frictionless parabolic bowl, y = ax2, where a = 1.460 m-1 If the particle is released from rest at the point on the bowl at b = 0.43 m, find the period of the oscillations. I have an equation for velocity(as a function of...

Homework Statement Find the steady-state oscillation of the mass–spring system modeled by the given ODE. Show the details of your calculations. Homework Equations 1. y'' + 6y' + 8y = 130 cos 3t 2. 4y’’ + 8y’ + 13y = 8 sin 1.5t The Attempt at a Solution 1. cos(3t) at the end means the...

Homework Statement Help need with this problem. A light spring AB of natural length 2a and of modulus of elasticity 2amn2 lies straight at its length and at rest on a smooth horizontal table. The end A is fixed to the table and a particle P of mass m is attached to the midpoint of the spring...

Hi friends ""Active power is the share of the apparent power which transmits energy from the source (generator) to the user. Reactive power is the share of the apparent power which represents a useless oscillation of energy from the source to the user and back again"" This Texts from a...

Homework Statement A resistance of 100 ohm is connected in series with capacitor 0.1 microF and an inductance 10 mH. find the frequency of oscillation and value of current at resonance? Homework Equations f= 1 / 2*pi*sqrt(LC) The Attempt at a Solution i think the formula i use for...

A 4.0kg block extends a spring 16cm from its unstretched position.The block is removed and a 0.50Kg body is hung from the same spring.If the spring is stretched and released,the period of oscillation is : a)0.28s b)0.02s c)0.42s My Work : T = 2pi/w T = 2pi*sqrt{Mass Totall/K} I...

Homework Statement A uniform meter stick is hung at its center from a thin wire. It is twisted and oscillates with a period of 5 s. The meter stick is then sawed off to a length of 0.76 m, rebalanced at its center, and set into oscillation. With what period does it now oscillate...

Homework Statement For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.100 {\rm kg}of turkey. The slices of turkey are weighed on a plate of mass 0.400 {\rm kg} placed atop a vertical spring of negligible mass and force constant of...

Hi, i am interested in figuring out the tension strength on a guitar string, by using its oscillation frequency (or fundamental harmonic) and its length.. I looked online but can't find much... I tried some dimensional analysis but couldn't come up with much

a pendulum bob of mass m hangs on a string of length l. what is the espression for the arc length of the bob if its discplaced through an angle theta.

Homework Statement Mass m attached to spring with spring constant k=Am. It feels a resistive force magnitude Bmv where v is the speed. and A, B are constants such that 4A > B^2 What is the fractional change in amplitude of oscillation in one complete oscillation? Homework Equations...

Homework Statement A single loop circuit consists of a 7.2 ohm resistor, a 12.0 H inductor, and a 3.20*10^-6 F capacitor. Initially the Capacitor has a charge of 6.20*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for a) N=5, b) N=10, and c) N=100...

Homework Statement A 36 kg mass is placed on a horizontal frictionless surface and then connected to walls by two springs with spring constants k1 = 3 N/m and k2 = 4 N/m. What is the frequency, f (in Hz), of oscillation for the 36 kg mass if it is displaced slightly to one side...

Homework Statement A 5 kg sphere is connected to a thin massless, but rigid rod of length L = 1.3 m to form a simple pendulum. The rod is connected to a nearby vertical wall by a spring with spring constant k = 75 N/m, connected to it at a distance h = 1.1 m below its point of...

My question is that I am asked to find the angular frequency of a spring-mass system. I am given the damping constant, the mass of the object at the end of the spring, the mass of the spring, and the spring constant. I know that angular frequency equals the square root of the spring constant...

Homework Statement I have a problem where I am given the following values: Angular Oscillation Frequency which I have assigned to omega Spring Constant, which is k The system's kinetic energy in Joules. Phi is assumed to be 0 I am asked to find the oscillation amplitude at a certain...

Homework Statement A 0.7 kg block attached to a spring of force constant 13.4 N/m oscillates with an ampli- tude of 20 cm. Find the maximum speed of the block. Answer in units of m/s. (part 2 of 4) 10.0 points Find the speed of the block when it is 10 cm from the equilibrium position...

Homework Statement Find maximum speed of oscillation of a free electron near Earth’s surface due to Sun’s electromagnetic field. Find out the ratio of maximum magnetic force acting on the electron Fm to the maximum electric force Fe. Regard Sun’s radiation as monochromatic with wavelength...

One of the conditions for oscillation is that the (regenerative) feedback loop must provide a 180 degree phase shift. This is due to the fact that, for a regenerative effect, the signal must undergo n*360 degrees phase shift: 180 from the amplifier and another 180 from the feedback network...

Hey there forum! Consider a damped oscillation in which the friction force is F=-bυ. What I want to ask is how do you calculate the work done by this force for any x interval along a line and what is the Power of the work done by this force? I already know that Power P of the work done...

Homework Statement Derive and show that the period for a thick ring would be T=2π√[d/g+(ΔR)^2/4Rg] Homework Equations I'm not sure... The Attempt at a Solution Obviously, delta R means the difference between Ri and Ro would be considerable. So ΔR=Ro-Ri. Then Ro=R+ΔR/2 and...

We have been given this as a sample exam question. For a car store a small model car (75kg) is hung from the ceiling. The model is hanging on an elastic spring with force constant 1500 N/m. The model is oscillating 10 times per second with an amplitude of 0.02 m. (Assume a zero-phase shift)...

Homework Statement A block of mass 5 kg is attached to a spring of 2000N/m and compressed a distance of 0.6m. The spring is then released and oscillates. a. what are the period, frequency, and angular frequency b. what is the energy in this system c. what is the maximum velocity...

Homework Statement I calculated T_o to be 1.27 seconds and "T_o"' to be 1.23 seconds, each representing a normal mode of oscillation. These are correct according to the text. Here is the question: what is the time interval between successive maximum possible amplitudes of one pendulum after...

Homework Statement A proton moves along the x-axis, where an arrangement of source charges has created the electric potential V=6000x^2, where V is in volts and x is in meters. (a) Graph the potential between x = -5.0 and x = +5.0. (c) By exploiting the analogy with the potential energy of a...

I already did the first part, and the equation for the period becomes: T=2\pi(ml/\gammaPA)(1/2) I know 12 litres = 0.012 m3, and the the mass of the ball is the volume of a sphere of radius 0.01m x the density = 0.0318 Kg, for pressure I am not sure whether I am suppose to use 1 atm or 101.3...

How is the formula for period of oscillation derived? t=2pisqrt(m/k)

Homework Statement I'm currently having a bit of trouble figuring out how to most effectively execute my experiment. It's somewhat practical; I need to find how the masses placed on the end of a vibrating ruler will affect its oscillation. I know that the ruler is a standard 12 inch (30.5...

If an electron is in an infinite 1-D square well of width L, how do you get oscillation frequency of the probability density for any energy state n?

Homework Statement A particle moves around the surface of an upside-down cone, in a horizontal circular path, in equilibrium. The particle is given a small radial kick. Use the Lagrangian equation for motion (found in a previous section of this problem): m\ddot{r} =...

Homework Statement Thornton and Marion, chapter 3, problem 21: Use a computer to produces a phase space diagram similar to Figure 3-11 for the case of critical damping. Show analytically that the equation of the line that the phase paths approach asymptotically is \dot{x}=-\beta x. Show...

Homework Statement A block attached to a spring is displaced from equilibrium to the position x = +4.9 m and released. The period is 0.5 s . At what positions and times during the first complete cycle do the following condition occur: | v | = 0.5 v_{max}, Where v_{max} is the maximum speed...

I would like to rotate a water outlet line 180 degrees using the water pressure as the force driving the rotation. Does anyone know of any designs for an application like this? Perhaps some type of a butterfly valve under tension to one side? As the pressure builds behind the closed...

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 8.0 seconds later it is 1.8 cm. A. What is the time constant for the damping of the oscillation? _____...