I'm have some conceptual problems with electric fields and waves. When I think of electromagnetic waves I imagine field lines emanating from a charge that is oscillating, consequently causing the field lines to oscillate. In diagrams showing field lines, the electric field runs parallel with the...
Force on an oscillating mass?
Homework Statement
A 2.10 kg mass on a frictionless horizontal track is attached to the end of a horizontal spring whose force constant is 6.00 N/m. The mass is displaced 3.09 m to the right from its equilibrium position and then released, which initiates simple...
I was wondering if the "Method of image charges" could be extended even partly or approximately to oscillating charges.
I am not considering nearly-static problems, but really radiating problems.
After all, the Poisson equation and the wave equation are rather close !
Therefore, I thought...
Hello i am looking for help on a home work assignment , i have no idea how to even approach this this was the first assginment that was given to me and i was told to use anyway methods of attaing the answers. However as i do not want to be a complete idiot or degrage you guys intelligence would...
Homework Statement
A uniform piece of wire is bent into an upside down V shape with angle \theta between two legs of length L. The wire is placed over a pivot. Show that the angular frequency of small-amplitude oscillations about the equilibrium is...
I'm interested in oscillating chemical reaction, as Belousov-Zhabotinsky one.
Does it oscillate "forever" or it relax to a macroscopical stationary state?
Ll.
So I have this line driver using an IR2110 to amplify a square function tuned for a specific frequency. Its used to cause oscillations in an LC circuit (pulsed at the same frequency, 1/root LC).
Experimentally though I can't find that resonance frequency. As I go above the theoretical...
A 0.90 kg mass on a spring oscillates horizontally with little friction according to the following equation: x = 0.090cos(2.90t), where x is in meters and t in seconds. Find the maximum energy stored in the spring during an oscillation.
X=a*cos (omega*t)
omega =2pi*frequency = sqrot k/m...
A 57.0 kg circus performer oscillates up and down at the end of a long elastic rope at a rate of once every 7.20 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
T=2pi* sqrt m/k
kx=mg
7.2sec=2pi*sqrt 57/k...
Consider a mass hanging freely from a spring, oriented vertically downwards. We know that because the restoring force acting on the mass is directly proportional to the displacement of the mass from the equilibrium position, i.e. the extension of the spring (F=kx), the system exhibits simple...
Graphing potential & kinetic energy of an oscillating particle!
1. A particle oscillates back and forth in a frictionless bowl whose height is given by h(x) = 0.22x2 where h and x are meters. (a) Show graphically how the potential and kinetic energies of the particle vary with x.
2. I...
1. A particle oscillates back and forth in a frictionless bowl whose height is given by h(x) = 0.22x2 where h and x are meters. (a) Show graphically how the potential and kinetic energies of the particle vary with x.
2. I completed the (b) and (c) part of the problem, but I'm not sure as...
Homework Statement
A horizontal table oscillates with a displacement A sin ωt , where A = (Ax , 0, Az ) is the amplitude vector and ω the angular frequency in an inertial frame of reference with the z axis vertically upwards, normal to the table. A block sitting on the table has mass m and...
Was studying in class the effects of the E and B fields far from the source and what they looked like, but we failed to discover what happens near the source...Is this because there is no difference or did we just not cover the material
Homework Statement
An elastic spring has modulus of elasticity \lambda and natural length l_{0}. The spring is on the slope of a hill with an angle \alpha to the horizontal such that one end of the spring is fixed at the foot of the hill and the other end can move freely along the slope. A...
Homework Statement
The period of a mass m oscillating on a hookian spring of negligible mass.
Homework Equations
F = -kx
The Attempt at a Solution
I'm using x in place of ∆x for convienance.
F = -kx
dv/dt = -kx/m
∫vdv = -k/m∫xdx
v^2 = C - k(x^2)/m: Placing the...
Homework Statement
A 4.24 m long, 1.27 kg rope under a tension of 475 N oscillates with a frequency of 11.2 Hz. If the oscillation amplitude is 6.32 cm, how much energy is required to keep the rope oscillating for 6.25\,{\rm s?}
Homework Equations
The Attempt at a Solution
I don't...
Homework Statement
"A small ball with radius r and uniform density rolls without slipping near the bottom of a fixed cylinder of radius R. What is the frequency of small oscillations, assuming r<<R?"
http://img89.imageshack.us/img89/8614/helpwu8.png
Homework Equations
F=ma...
Hello,
In order to test-drive a data analysis program, I am looking for a function that generates sine waves with slowly oscillating frequency, i.e. the distance between the maxima should be slowly changing.
I thought that I could simply achieve this by using a function of the form
f(t)...
Homework Statement
The position of a mass that is oscillating on a spring is given by x(t) = (14.5cm)cos[(14.0s-1)t].
What is the speed of the mass when t = 0.820 s?
Homework Equations
A= Amplitude
W= Angular frequency
x(t) = ACos(Wt)
v(t) = -WASin(Wt)
The Attempt at a...
Hi
Suppose we a pair of symmetric wells of finite potential and the particle is given to be in the initial state
|\psi(0)\rangle = \frac{1}{\sqrt{2}}(|\psi_{s}\rangle + |\psi_{a}\rangle)
(a = antisymmetric state, s = symmetric state)
For t > 0, we have
|\psi(t)\rangle =...
Homework Statement
A compass, consisting of a small bar magnet resting on a frictionless pivot through its centre, is placed in the middle of a long solenoid, which in turn is aligned with its axis pointing North-South. With a current of 1 Amp passing through the solenoid, a small...
The period of an oscillating particle is 56 s, and its amplitude is 18 cm. At t = 0, it is at its equilibrium position. Find the distances traveled during these intervals.
(a) t = 0 to t = 14 s
cm
(b) t = 14 s to t = 28 s
cm
(c) t = 0 to t = 7 s
cm
(d) t = 7 s to t = 14 s
cm
x =...
Homework Statement
The problem is this: Find the angular frequency of the system in the figure when it's displaced at a small angle from equlibrium, given that ρ_0 < ρ_1. There is friction with the ground, so the motion is a rolling motion, without slipping.
Homework Equations
I used...
Just hoping you might explain the physics here for me.
An electron is placed in an oscillating electric field, say,
E = E_0\sin(\omega t)
and as a result accelerates in x at,
a = a_0\sin(\omega t)
(grouped some constants in a_0). Solving for the resulting motion yields,
x =...
Homework Statement
For the sequence defined recursively as follows:
a_1 = 2, and a_(n+1) = 1/ (a_n)^2 for all n from N.
Homework Equations
So, we are supposed to use induction to first fidn if the sequence increases or decreases, and then use induction again to show if it...
Homework Statement
The position of a mass oscillating on a spring is given by x(t) = (18.3cm)cos[(2.35s^-1)t] .
What is the frequency of this motion?
Homework Equations
X= Amplitude x Cos (2pi/T x time)
The Attempt at a Solution
I know that frequency= 1/Period, I am trying to...
Homework Statement
A pendulum is 0.8 m long and the bob has a mass of 1.0 kg. At the bottom of its swing, the bob's speed is 1.3 m/s. What is the tension in the string at the bottom of the swing?
Homework Equations
F=m((v^2)/r)
The Attempt at a Solution
F= 1.0kg((1.3 m/s^2)/.08)...
Hi,
Just wondering if anyone has any thoughts on how to approach this question:
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...
Hi,
Just wondering if anyone has any thoughts on how to approach this question:
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...
Homework Statement
The problem is to find the motion of the electron of charge -e and mass m which is initially at rest and which is suddenly subjected to an electric field E= E0sin(\omegat).
The following mathematical expression is safe and sound but I am having trouble with the Physics...
I heard that :
1- Is this accurate: Entropy would build up from oscillation to oscillation ?
2- What's the reason of that build up: does the big crunch conserve the previous entropy or just minimizing it ?
3- Does the universe become bigger in every next cycle in the oscillating...
Hi
Can someone help me with the following questions please (see attachment)?
I really need some help on the following:
i). Drawing a force diagram for each particle (I really hate drawing these).
As a guess for m1, am I right in thinking that H and N point up and W points down? But...
Consider a charge oscillating along the Y axis. EM waves are emitted around it and hits an observer further down the X axis. The charge then gains speed along the X axis, moving towards the observer. He notes a blueshift in the measured EM wave, ie the Doppler effect.
My question is... Will...
A 1.00 kg glider attached to a spring with a force constant 49.0 N/m oscillates on a horizontal, frictionless air track. At t = 0, the glider is released from rest at x = -2.7 cm. (That is, the spring is compressed by 2.7 cm.)
(a) Find the period of its motion.
(b) Find the maximum values of...
Hi everyone.
I am attempting to design a harmonically oscillating piston cylinder device and I need to incorporate some mechanical springs. To ensure the device works the way I want it too the relaxed length of the spring needs to be in the middle of the piston stroke.
This means the...
Homework Statement
Hi, I need to find an oscillating sequence whose limit of the differences as n approaches infinity is zero but the sequence itself is diverging.
Homework Equations
None.
The Attempt at a Solution
My initial guess was:
\frac{sin(ln(n))}{ln(n)}
Homework Statement
A pendulum is 0.8 m long and the bob has a mass of 1.0 kg. At the bottom of its swing, the bob's speed is 1.8 m/s. What is the tension in the string at the bottom of the swing?
I don't even know how to get started on this problem, I think it has something to do with using...
Hi everybody, this problem is giving me trouble and I was wondering if you could give me any advice.
Homework Statement
The velocity of an object in simple harmonic motion is given by vx(t)= - (0.35 m/s)sin(20t + pi), where t is in s.
What is the first time after t=0s at which the velocity...
A ball of mass m is connected to two rubber bands of length, L, each under tension T, as in Figure P12.49. The ball is displaced by a small distance y perpendicular to the length of the rubber bands.
(a) Assuming that the tension does not change, show that the restoring force is -2yT/L ...
A 2.0kg mass attached to a spring makes 10 oscilations in 21.6s; its amplitude is .0320m
Find spring constant k. My question about this part is
frequency=(#of oscillations)/(#of seconds to complete) right?
So f=10/21.6s =2.16Hz?
So if k=m\omega^2
k=2(2\pi*2.16)^2
IT's the wording that...
An object, suspended from a vertical spring, oscillates up and down at 5.87 Hz. How much would this object stretch the spring, if it were hanging at rest?
1. Homework Statement and 2. Homework Equations
Find position/velocity of a mass m attached to a spring of constant k when subjected to an oscillatinf roce
F(t) = F sin(Bt)
With B\not = \sqrt{k/m}
The Attempt at a Solution
Model;
mx'' + kx = F \sin(Bt)
I have no...
Homework Statement
Hi,the question is draw a graph of E_{p} against t/s of the oscillating motion above,I've done it and have no exact answer in my hand,hoping some ppl to double check my answer that's all.My answer is here below
Homework Equations
E_{p}=mgh , where E_{p} is potential...
Homework Statement
A 500g block is attached to a spring on a frictionless horizontal surface. The block is pulled to stretch the spring by 10cm, then gently released. A short time later, as the block passes through the equilibrium position, its velocity is 1m/s.
>A)What is the block's period of...
State how the total energy of an oscillating system depends on the amplitude of the motion, sketch or identify a graph of kinetic or potential energy as a function of time, and identify points in the motion where this energy is all potential or all kinetic.
I know that mechanical energy is...
Homework Statement
3 masses m, all with charge q, attached by two ropes of length d. the system is oscillating with small perturbations around a configuration where the three are in a straight line. Find q, given the period T, d, and m.
Homework Equations
The Attempt at a...
Homework Statement
What is the maximum acceleration of a platform that oscillates with an amplitude of 2.70 cm and at a frequency of 6.40 Hz?
Homework Equations
a(t)=-\omega^2x_m\cos{(\omega t=\phi)}
\omega=2\pi f
The Attempt at a Solution
a(t) will be maximized when a'(t)=0 (or...
What are the basic principles behind oscillating reactions, I mean, if its known as 'chemical magic' what must it undergo to be such a thing?
I've been looking all over the web and havn't been able to find enough information, for example, how the laws of thermodynamics are broken or how it...
Dear readers :)
I've tried to figure this out for quite some time now, I hope anyone can help me on this:
I'm looking for the differential equations for 2 PARALLEL oscillating circuits coupled by a capacitor. I've tried to start similar as in http://www.ruhr.de/home/leser/mathe/355.pdf...