#### A Derivation of Centripetal Force

I derive the expression for the centripetal force on a particle moving with uniform circular motion.

I derive the expression for the centripetal force on a particle moving with uniform circular motion.

I derive the electric field around a thin, charged spherical shell using Coulomb's law.

I finish up the discussion of binary star systems by going over some of the properties of the equations that I derived last week. I then present the results in the context of Kepler's laws.

I derive the equations that describe the orbit of a binary star system.

I explain the concept of reduced mass and then demonstrate how it is used in the context of binary star systems.

I go through the Cartesian sign convention that is used in the derivation of apparent depth.

I review J.J. Thomson's derivation of the Larmor formula.

I set up the classical electromagnetic Hamiltonian and use it to derive the Lorentz force.

I analyze some of the commutation relations in the presence of spin-orbit interaction and explain some of their consequences.

I derive the methodology behind the finite difference method and then use it to solve the one-dimensional, time-independent Schrodinger equation.