# Search results

1. ### Equations of motion of a system with non holonomic constraints

Hello, I have a system with 2 degrees of freedom with 2 non-holonomic constrains that can be expressed by: ##A_1 dq_1 +Cdq_3 + Ddq_4 = 0## ##A_2 dq_1 + Bdq_2 = 0## Being ##q_1, q_2, q_3## and ##q_4## four generalized coordinates that can describe the movement of the system. And ##A_1, A_2...
2. ### Simple pendulum of variable mass

Hello, I've got to rationally analice the form of the solutions for the equations of motion of a simple pendulum with a varying mass hanging from its thread of length ##l## (being this length constant). I approached this with lagrangian mechanics, asumming the positive ##y## direction is...
3. ### Calculate electric polarizability

Hello everyone, I've got my non-uniform electric cloud distribution formula given by: ## \rho(r) = \frac {-Ze} {\pi a^3} e^{-{2r}/a}## Where ##Z## is the atomic number of the atom in question and ##a## Bohr's radius and ##E_L## the local electric field. Considering the previus expression ...
4. ### Normal incidence of a plane polarized wave through multiple mediums

Hello everybody, I have to find the amplitudes of a wave that goes through 4 different mediums in terms of ##E_0##, suffering reflection in the first three but not the last one. I calculated the corresponding reflection indexes of the three mediums (all of them real). Following calculations, I...
5. ### Phase space of a harmonic oscillator and a pendulum

Hello everybody, new here. Sorry in advance if I didn't follow a specific guideline to ask this. Anyways, I've got as a homework assignment two cannonical transformations (q,p)-->(Q,P). I have to obtain the hamiltonian of a harmonic oscillator, and then the new coordinates and the hamiltonian...