Shō Hashi (尚巴志, 1372 – June 1, 1439) was the last King of Chūzan and the first king of the Ryukyu Kingdom, uniting the three polities of Chūzan, Hokuzan, and Nanzan by conquest and ending the Sanzan period.
A 0.0125 kg bullet strikes a 0.300 kg block attached to a fixed horizontal spring whose spring constant is 2.25 * 10^3 N/m and sets it into vibration with an amplitude of 12.4 cm. What was the speed of the bullet if the two objects move together after impact?
E = .5 k A2 = .5 m v2
Do I use m =...
Consider a simple harmonic oscillation in 1 dimension: x(t)=Acos(wt+k). If the energy of this oscillator is btw E and E+\delta E, show that the probability the the position of the oscillator is btw x and x+dx is given by
P(x)dx=\frac{1}{\pi}\frac{dx}{\sqrt{A^2-x^2}}
Hint: calculate the volume...
We have a particle moving in a 3-D potential well V=1/2*m*(omega^2)*(r^2). we use separation of variables in cartesian coords to show that the energy levels are:
E(Nx,Ny,Nz)=hbar*omega(3/2 + Nx + Ny + Nz)
where Nx,Ny,Nz are integers greater than or equal to 1.
Therefore we can say that...
[x, H]= ??
Given the Hamilton operator for the simple harmonic oscilator H, how do I get to [X, H]= ih(P/ m)? I put X in momentum representation, but then I can't get rid of these diff operators. mmh?
thanks in advance
I am using Frenches book on waves and have a question. You have a standard driven damped oscillator and I am suppose to find the average potential and kinetic energy of it. They are both similar so I will just use the potential for example. I took \frac{1}{T}\int^T_0 \frac{1}{2}KX^2 dt Where...
Hi,
Having trouble understanding something here, hoping someone can help...when dealing with a SHO, we can define two ladder operators a and a-dagger. The way I understand it is, applying a-dagger to an eigenstate of H (and that has, for instance, eigenvalue E) will give us a new eigenstate...