Oscillating Definition and 304 Threads

I am curious about the effects of oscillation in a heat transfer system. For example consider a simple system consisting of a heat source, a heat sink, and some generic material through which we will flow heat. http://tempneff.com/Hflux.png If we stack them all together, without...

I have a differential equation to solve below on the motion of an object oscillating in water with a restoring force equal to -Aρgx and a damping force equal to -kv^2. ma+kv^2+Aρgx=0 K, A, ρ and g are constants and I need to solve the equation for x. a (acceleration). v (velocity). x...

Homework Statement A massless spring of length b and spring constant k connects two particles of masses m_1 and m_2 . The system rests on a smooth table and may oscillate and rotate. a) Determine the Lagrange's equations of motion. b) What are the generalized momenta associated with...

Homework Statement A particle moves along the x axis. It is moving initially at the position 0.280 m, moving with velocity 0.200 m/s and acceleration -0.450 m/s^2. Suppose it moves with constant acceleration for 4.10 s. (a) Find the position of the particle after this time...

The period of a satellite revolving around the Earth earth at surface height is equal to the period of any mass thrown through a hole of the earth(which gains a simple harmonic motion)... It seemed really interesting to me... Why both of these periods are same? T=2 π √(R/g)

Hello, I've been making my way through Landau-Lifshitz's "Mechanics" book, and I've come across a bit of math I'm not too sure about. What I'm confused about is here: https://archive.org/details/Mechanics_541 On Page 93 (of the book, not the PDF) under Motion in a rapid oscillating...

A block of 5kg connected to the free end of a spring is hanging from the ceiling and is in SHM. At t=0, the block is traveling upwards and its displacement is 15cm from the equilibrium. The block reaches its maximum displacement 0.3s later. What is the general equation of the displacement of the...

http://gyazo.com/bc7f6da4d4c4aca300bb5efb2410fc8d.png The problem, and my solution are in the image. I need help on finding the equation of the osculating circle, I found radius but I don't know where to go from there. Also if you could just check if my math seems correct that would help me...

Assume a system of two hydrogen atoms. No other matter exists inside or outside of the system. Initial condition is one H with an electron in the n=2 state. That state decays to ground and emits EM that is absorbed by the electron on the second H. Repeat forever (maybe). Some questions...

I know very little about mechanical systems, but what kind of small simple gear system can do this; I have a motor, it turns one way, I guess it would turn a spiral bevel, but it only goes into one direction since the motor turns continuously in one direction, what mechanical solution allows...

Homework Statement A z-polarized incident EM waves hits a small charge (-q) bounded to a massive charge (+q) with spring constant k0 and frequency ω. (a) Write down the equation of motion (b)Find time averaged total power dissipated. (c) Find classical scattering cross section σ...

If you have a rod oscillating back and forth by a frictionless pivot point near the end of one side of the rod and the only external force is gravity, how would the magnitude and direction of the force of/on that pivot point be calculated? How does it change with the oscillations? I am...

Homework Statement A thin uniform rod is pivoted about its mid-point, with the lower end attached to a spring. See the figure. At equilibrium the rod is vertical. Show that on a (small) displacement from equilibrium the rod will oscillate with simple harmonic motion at a frequency: f =...

Homework Statement A particle of mass m is oscillating with amplitude A in 1D (without damping). Using conservation of energy, I'm asked to determine the period T with the correct proportionality factor and period of integration. Homework Equations Potential energy: U(x) = a x^2 + b x^4...

1. Homework Statement A 2-kg mass attached to a spring oscillates in simple harmonic motion and has a speed of 5 m/s at the equilibrium point. What is the maximum potential energy of this oscillating mass? 2. Homework Equations I know that the potential energy is: Ep = 1/2 kx2 k = mω2

Homework Statement A U-tube has vertical arms of radii r and 2r, connected by a horizontal tube of length l whose radius increases linearly from r to 2r. The U-tube contains liquid up to a height h in each arm. The liquid is set oscillating, and at a given instant the liquid in the narrower...

How to prevent a circuit from "cycling" / oscillating Hello everyone, I have the following circuit I designed. Although I am open to all criticisms and suggestions, my main question is thus: If the resistor 1.77Ω (load) becomes a dead short when the highlighted momentary switch is closed...

Homework Statement a) Find the frequency of vibration under adiabatic conditions of a column of gas confined to a cylindrical tube, closed at one end, with a well-fitting but freely moving piston of mass m. b) A steel ball of diameter 2 cm oscillates vertically in a precision-bore glass...

Hello. What oscillating field strength, in tesla, is required to cause the magnetization vector of a ferromagnetic material to precess with a fairly large angle at its resonance frequency? I can't find this number anywhere!

Homework Statement Describe the motion of a free electron with charge -e when subject to an oscillating electric field along the x-axis: $$E_x = E_o \cos(\omega t + \theta)$$Homework Equations Force acting on the electron: $$F=-eE_x=-eE_o \cos(\omega t+ \theta)$$ (*) Equation of motion: $$F =...

Homework Statement The maximum displacement at the tip of the tine of a tuning fork oscillating at 440 Hz is 0.1 mm. What is the maximum acceleration in g’s? Homework Equations (1 g = 9.8m/sec2) The Attempt at a Solution

Homework Statement A particle oscillates with amplitude A in a one-dimensional potential that is symmetric about x=0. Meaning U(x)=U(-x) First find velocity at displacement x in terms of U(A), U(x), and m. Then show that the period is given by ##4\sqrt{\frac{m}{2U(A)}}\int_0^A...

Homework Statement Attached. Homework Equations The Attempt at a Solution From my calculations, option A is correct. What am I doing wrong? Also, I can't find a relationship between amplitude and energy. { KE }_{ max }=\frac { 1 }{ 2 } m{ { v }_{ max } }^{ 2 }\\ =\frac { 1 }{ 2 } m{ (rω)...

This is the set up to the question that we got for homework: Pit and Plank. A wooden plank is placed over a pit that is 5.00 m wide. A physics student stands in the middle of the plank and begins to jump up and down such that she jumps upward from the plank two times each second. The plank...

Homework Statement http://www.mediafire.com/view/?7045cz9au1ci7cd A mountain bike has bad shock absorbers (w0/γ = 10) that oscillate with a period of 0.5 seconds after hitting a bump. If the mass of the bike and rider is 80kg, determine the value of the spring constant k (remembering that...

Homework Statement A ball bearing is placed on a track curved in the vertical plane. The ball bearing is released from a position on the track above the lowest point and it then oscillates with SHM. As the amplitude diminishes does the time period for each oscillation stay the same...

I am a chemical engineer, not a physicist, so I am a bit rusty on my electromagnetics. I need to set up a fluctuating magnetic field inside of a stainless steel tube (hopefully using a pair of electromagnets outside the tube), and I am wondering if the field will penentrate through the tube...

See attached image. V=sqrt(T/mu)

In the above figure, what would be the time period of the body(in red) under gravity, neglecting any non-conservative forces? And what do call this type of situation? A gravity well or sth?

Homework Statement The Attempt at a Solution I don't think this is the correct answer because for some reason I have a constant mg term. Usually I get mgsinθ and from small angle approximations it becomes mgθ, but this time I am getting mgcosθ and from small angle approximations it...

Homework Statement Here is the problem with my 3 attempts: 1. Alright, so the first attempt, I did not take into account the rotation of the cylinder ωc so I think it is wrong. But it seems to make sense because the whole cylinder rotates about O, so if I find that energy using parallel...

U = energy In the book: \frac{dU}{dt} = \frac{d}{dt} (\frac{1}{2} mv^2 + \frac{1}{2} kx^2) then we have m \frac{d^{2}x}{dt^2} + kx = 0 because v = \frac{dx}{dt} however they get rid of \frac{dx}{dt} . They are ignoring the case where v = 0, because then m \frac{d^{2}x}{dt^2} + kx...

Is it acceleration? I found this graph online: Would the answer be acceleration?

Homework Statement a) Light of wavelength 510nm is emitted by an electron in an atom behaving as a lightly damped simple harmonic oscillator with a Q value of 3 x 107. Find the natural frequency of the system. b) Find the width of the resonance.Homework Equations The Attempt at a Solution...

In ch 30-7 of the Lectures, Feynman explains that the field of a plane of oscillating charges at a point P is proportional to the velocity of the charges, considered at the appropriate retarded time (retarded by the vertical distance from the point P). Feynman derives this formula only for...

Homework Statement A U-tube has vertical arms of radii 'r' and '2r', connected by a horizontal tube of length 'l' whose radius increases linearly from r to 2r. The U-tube contains liquid up to a height 'h' in each arm. The liquid is set oscillating, and at a given instant the liquid in the...

Homework Statement A ring of radius 6 cm that lies in the yz plane carries positive charge of 7 μC uniformly distributed over its length. A particle of mass m carrying a charge of −7 μC executes small oscillations about the center of the ring on its axis with an angular frequency of 15...

Hi, Say I have this pde: u_t=\alpha u_{xx} u(0,t)=\sin{x}+\sin{2x} u(L,t)=0 I know the solution for the pde below is v(x,t): v_t=\alpha v_{xx} v(0,t)=\sin{x} v(L,t)=0 And I know the solution for the pde below is w(x,t) w_t=\alpha w_{xx} w(0,t)=\sin{2x} w(L,t)=0 Would...

Hi, I am repeating first year exams and would really appreciate some help with my study. Just can't seem to get my head around this problem. Homework Statement Consider two identical ideal springs with a mass m attached which are harmonically oscillating out of phase relative to each...

ωHomework Statement A cylinder of diameter d floats with l of its length submerged. The total height is L. Assume no damping. At time t = 0 the cylinder is pushed down a distance B and released. What is the frequency of oscillation? Homework Equations f = ω/2\pi Ma =...

Homework Statement A particle of mass m moving in three dimensions is attracted to the origin by the gravitational force of a much heavier object. It can be shown that the radial motion is governed by the following equation m\ddot{r}=-\frac{k}{r^{2}}+\frac{l^{2}}{mr^{3}} where k is a...

So I know that the total mechanical energy is E=0.5m*v^2+ 0.5* k*x^2 But sometime I see it written as E=0.5m*v^2+ 0.5* k*A^2 What is the difference? Here is a question If the amplitutide of the oscillations is doubled the mechanical energy of the system: Doubles Does not change...

Homework Statement I came with this problem myself, so there may be not enough information given to solve it. Imagine that mass M oscillating on the vertical spring with force constant k and amplitude A. Now let's say that the mass M is moving upward. Now imagine that some other object with...

Homework Statement A 2kg bucket containing 10kg of water is hanging from a vertical ideal spring of force constant 125N/m and oscillating up and down with amplitude 3cm. Suddenly the bucket springs a leak in the bottom such that water drops out of the bucket at a steady rate of 2g/s...

N = 1/2 E0 √(ε/μ) so E0 = √2*N*(ε/μ) where the value of ε/μ is 376.7Ω I have a similar question to this, below, regarding amplitude of an oscillating magnetic field. Yes, I'd like the answer, but am initially stuck deciding whether the mW is milli- or mega- Homework Equations A laser...

Homework Statement In an oscillating circuit, the capacitance is 2 microfarads and the maximum voltage at the clamps is 5V. Find out 1:the maximum energy of the magnetic field. 2:energy of the mag field when the voltage of the capacitor is 3V. Homework Equations The Attempt at...

Homework Statement (Forgive me if I use certain terms wrong; I'm learning all of this in French) A branch at the top of a tree is swinging back and forth with a simple harmonic motion. Its amplitude is 0.80m. Its maximum speed at the point of equilibrium is 1.5m/s. What is the speed of the...

I understand that em radiation (light) will be produced if you cause a charge to oscillate. Does this happen at all frequencies? If I charged a comb by running it through my hair and then shake it up and down, am I sending out light waves?

Homework Statement A rectangular sheet of thin material is rolled into a portion of a circular cylindrical surface of radius r. It rests under the action of gravity on a fixed cylindrical surface of radius R, symmetrical about the vertical centre line as shown below. If rolled slightly to...

Hi all, I'm after a water system involving some sort of pressure valve (pressure regulator, relief valve etc - whichever gets the job done) where the inlet pressure is always OVER set-pressure, and the valve oscillates (opens and closes rapidly) in response. It is this oscillation that is...