Quantum Chemistry and Spectroscopy - Quantum Chemistry 5.3 - Classical Harmonic Oscillator 2: Energy

Short lecture on the energy of the classical harmonic oscillator. The harmonic oscillator is a system where the particle experiences a linear restoring force towards a reference position. This force is equivalent to a quadratic potential energy function centered at the reference position. In the previous video we showed that the solutions to Newton's equations of motions for this system result in a cosine oscillation over time with an angular frequency which depends on the spring constant and the mass of the particle. Here we show that the energy of the system is conserved as it interconverts between kinetic and potential energy, with the total energy depending on the spring constant and the square of the oscillation amplitude. Notes Slide: http://i.imgur.com/4heXAlX.png --- About TMP Chem --- All TMP Chem content is free for everyone, everywhere, and created independently by Trent Parker. Email: [email protected] --- Video Links --- Chapter Playlist: https://www.youtube.com/playlist?list=PLm8ZSArAXicL4kdvchwcgETYWXlt-HyzH Course Playlist: https://www.youtube.com/playlist?list=PLm8ZSArAXicL3jKr_0nHHs5TwfhdkMFhh Course Review: https://www.youtube.com/playlist?list=PLm8ZSArAXicLTRn3cJyyU1TiU7n_Pp4X1 Other Courses: https://www.youtube.com/playlist?list=PLm8ZSArAXicIXArfap9Tcb8izqRPvE0BK Channel Info: https://www.youtube.com/playlist?list=PLm8ZSArAXicLlGO4Rvpz-D6vX8MFbOn4V --- Social Links --- Facebook: https://www.facebook.com/tmpchem Twitter: https://www.twitter.com/tmpchem LinkedIn: https://www.linkedin.com/in/tmpchem Imgur: https://tmpchem.imgur.com GitHub: https://www.github.com/tmpchem --- Equipment --- Microphone: Blue Yeti USB Microphone Drawing Tablet: Wacom Intuos Pen and Touch Small Drawing Program: Autodesk Sketchbook Express Screen Capture: Corel Visual Studio Pro X8