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)...
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...
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...
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
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...
Hello
Just wondering when there is a graph of distance vs time for an oscillating mass in SHM and the graph is a sine curve and it asks us for the period-do we just find the time it takes for one wave to be completed? say the x-axis is eg: 1 2 3 4 5 6 etc etc and the wave is completed between...
Here's a physics student trying to perform the Belousov experiment, that is the chemical clock that changes its color from red to blue and viceversa.
I've been able to "borrow" the following reactants:
H2S04(sulfuric acid) 1,5M
NaBr03(sodium bromate) 0.08M
CH2(COOH)2(malonic acid)...
Hey!
Today I had a school visit to the UCL Chemistry department and was shown an Oscillating Reaction unfortunately I wasn't able to get the full 'recipe' to re-do the experiment so can someone be kind enough to write them down.
Also!
Would someone possibly direct me how to go on about...
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 .1 kg ball oscillates horizontally on a spring on a frictionless Table. k is 2.5 N/m. Its velocity is .2m/s when x= -.05 m What is :
a. The Amplitude
b. The Max Acceleration
c. What is the balls position when a = a_{max}
This one I know. Here x=the amplitude because a will be greatest...
How would I go about graphing a digtal oscillating signal? I don't quite understand what a pulse width is, or rather how to find it given only the oscillation in Hz and a duty cycle. I understand that the duty cycle is the ratio of the pulse width over the total period, but i don't understand...
How would I go about graphing a digtal oscillating signal? I don't quite understand what a pulse width is, or rather how to find it given only the oscillation in Hz and a duty cycle. I understand that the duty cycle is the ratio of the pulse width over the total period, but i don't understand...
Recently, there was a question i came across that asked:
The graph shows how the amplitude of an oscillating system varies with its driving frequency. What will the resultant graph be if the system is placed in a fluid?
My answer was that the peak would be smaller and shift to the right...
Here is a homework problem that I believe is solved right.
A child oscillates freely on a playground swing. It takes 2.5 seconds for the child to complete one full swing and return to the person that is pushing her. How long is the swing? This is how I solved for the answer.
l =...
According to Hooke's law F = k \delta x , and the energy stored in a certain configuration is E = \frac{1}{2} k (\delta x)^2
But it just so happens that this last formula is only valid if one of the ends of this spring if fixed. I would like to know the following:
What is the elastic...
In a hydrogen molecule, the electron probability is the highest between the two nuclei of the hydrogen molecule. Let's say that the nuclei of the hydrogen molecule start oscillating.
When they get closer to each other, will the electron probability decrease or increase between the two nuclei?
In an oscillating LC circuit L = 3.00 mg and C = 2.70 * 10^-6. At t=0 the charge on the capacitor is zero and the current is 2.00 Am.
What is the maximum charge that will appear on the capacitor?
The earliest time where energy stored in the capacitor is the greatest?
What is the greatest...
An oscillating LC circuit consisting of a 7.5 nF capacitor and a 4.4 mH coil has a maximum voltage of 2.0 V. What is the maximum current through the circuit?
I got 1.5x10^-8 C for the max. charge.
I found the problem of the ocsillating molecule interesting as well as the electron revolving around the nucleus, in both cases there is energy loss due to radiation and eventually the molecule will stop ocsilating and the electron will be together with the nucleos. the times when this happen...
How do i find the period of small oscillations and length of the equivalent simple pendulum, for a rectangular plate (edges a and b) suspended at its corner and oscillating in vertical plane?
T = 2pi (I/mgl)^1/2
i calculated l (length) to be (a^2 + b^2 )^1/2 ---(the diagonal) is this right...
Whether they have been detected or not (someone might want to update on this, LIGO etc.?), it seems undeniable that gravitationnal waves exist. It seems sufficient to wave my hand to create one.
My question is the following : if an oscillating charge produces a linearly polarized E-wave...
Hello you guys. I'm trying to solve part B of the problem:
http://www.anu.edu.au/Physics/IPhO/Q3.ps
about a floating buoy. Is the resulting differential equation something like
4/3 (2*pi*a^2*l*d) z'' = - (2*asin(alpha)*l*rho*g) z
Is this correct? Thanks very much!
Convergence of oscillating sequence
Hi, I have to prove that an oscillating sequence converges, I am having some difficulty with the proof.
The sequence is c_{n+1} = \frac{1}{1+c_{n}} , c_{1} = 1
So, I've calculated the first few terms and have seen that the sequence oscillates. I know...
If I take two spherical regions of space about one metre in radius,
they would contain about 10 ^ - 27 kg of dark energy each.
If I now say that the centres of these regions are one metre apart,
and assume that there is rest mass associated with dark energy (this rest mass being uniformly...
Hiya,
Materials:
- Two current loops oscillating at ~ 9GHz Square Wave
Orientation:
- Stack the two loops one on top of the other at ~ 1cm seperation.
What I See:
- At that distance and frequency of oscillation it appears as if you could get a force with an equal reaction...
If the universe oscillates between a Big Bang and a Big crunch,
can two particles at opposite ends of it, be considered to be
undergoing simple harmonic oscillation?
If the potential energy of the oscillator is given by G m1 m2 /r and
m1 is the mass of the universe,10^52 kg,r = 10^26 metres...
What is the total mechanical energy of a mass of 2 kg oscillating on a spring given that the maximum velocity of the mass is 5 m/s and the spring constant is 50 N/m?