Simple Harmonic Motion
Driven vibrations and resonance
Vibrations of continuous systems
Properties of sound and electromagnetic waves
Polarization and polarizers
Waves at interfaces and in media
A foundational study of waves and vibrations will prepare learners for advanced courses in physics and related fields of engineering. The skills utilized in analyzing these phenomena are applicable to many different systems because vibrations and waves are so ubiquitous. For instance, learners will understand how the “resonant” modes of a tall building are analogous to simple systems of coupled oscillators. Moreover, learners will come to appreciate that the concept of “resonance” applies not only to systems of masses on springs, but to sound waves, 2D surfaces, atoms, and a wide range of other systems. This course explores many properties that are universal to all wave systems as well as many particular cases.
This course will prepare learners to analyze problems that involve mechanical vibrations and waves with such topics as simple harmonic motion, superposition, damping, forced vibrations and resonance, coupled oscillations, normal modes, continuous systems, reflection and refraction, and phase and group velocities. The course also explores electromagnetic waves and various associated properties like polarization, Snell’s law, Huygens’s principle, interference and diffraction. It ends by giving learners a taste of Quantum Mechanics.
Physics: 8.01x Mechanics and 8.02x Electricity and Magnetism [link to resources]
Math: 18.01x Calculus and 18.02x Multivariable Calculus