
Explore a mass-spring system in simple harmonic motion, using energy to relate displacement and velocity, and find where v equals half the maximum, yielding x = ±(√3/2) amplitude.
Analyze a bullet and block system with a perfectly inelastic collision, then apply momentum and energy conservation to find maximum spring compression and earliest rest time in simple harmonic motion.
Extract the angular frequency, frequency, and phase constant from a simple harmonic motion example, confirming an amplitude of 0.05001 m, omega 31.6 rad/s, and phi 6.22.
Explore how the phase constant shifts the cosine or sine displacement and velocity in simple harmonic motion, determining initial displacement and velocity through angular frequency and time.
Derive the x-component of uniform circular motion using amplitude and angular velocity, revealing its simple harmonic motion form. Relate initial conditions and velocity signs to pendulum and simple harmonic motion.
How This Course Works
Introduction to Waves: Oscillatory Motion is the first section of the broader Waves and Optics curriculum. This course includes engaging video lectures, detailed notes from whiteboard sessions, and plenty of practice problems (with solutions!). Every example and proof is carefully explained step by step to ensure your understanding.
The course covers the following topics:
Introduction to Oscillatory Motion and Simple Harmonic Motion (SHM)
Solutions to SHM
Displacement, Velocity, and Acceleration Functions in SHM
The Simple Pendulum
Energy in SHM
SHM and Circular Motion
Vertical Oscillations
What You’ll Get in Each Section
Videos: Each topic begins with a clear explanation of the concept. I’ll walk you through problem-solving techniques and a variety of math challenges, ensuring you can confidently tackle any problem.
Notes: Downloadable lecture notes are available for every section, based on the material I wrote during lectures. These notes are perfect for offline review—though I encourage you to take your own notes while learning!
Assignments: After watching the examples, it’s your turn! Test your knowledge with practice problems. Check the solutions after you’ve given them your best shot. If you struggle, don’t worry—you can revisit the videos and notes as needed.
What’s Included in the Course
An instructor who is genuinely invested in your success.
Lifetime access to Introduction to Waves: Oscillatory Motion.
Course Highlights
Downloadable video lectures: Learn anytime, anywhere.
Downloadable lecture notes: Study offline without needing a device.
Comprehensive problem set: Includes solutions for additional practice at the end of the course.
Step-by-step problem-solving guidance: Master every concept with ease.
I can’t wait to help you succeed in mastering oscillatory motion. See you inside the course!
– Gina