Hello. I am doing a ballistic pendulum lab, and I have gotten stuck at a preparatory exercise. The problem is that the pendulum must be treated as a compound pendulum and not a simple pendulum.
Homework Statement
We have a compound pendulum which is a metal rod of mass M suspended at some...
That probably would have worked, but I managed to solve the damn integrals before I read your reply :smile: All it took was some (a lot of) integration by parts, and it turned out ok. Now I can finally rest. :smile:
Thanks for taking the time guys!
Thanks for the reply!
I've worked some more, and I think I've made some progress :smile:
The eigenfunctions of \^{L}^2 are spherical harmonics, but since the wave function is independent of \phi, m = 0, i.e \Psi(\theta,\phi) = \sum_{l} c_{l,0}Y_l^0 .
The eigenvalues are l(l+1)\hbar. So I just...
Hello,
I'm trying to solve a problem dealing with finding the probability of measuring certain values of L^2 for a particle.
The particle is on a sphere and is in the state \Psi (\theta , \phi) = Ne^{\\cos{\theta }}.
I don't know quite how to start, I guess I have to decompose the wave...