SHO and Waves

Waves and Simple Harmonic Motion: Exploring Oscillations and Wave Properties

Course Summary:

This course introduces the fundamental principles of waves and simple harmonic motion (SHM), focusing on their mathematical descriptions, physical systems, and real-world applications. Students will explore wave properties, SHM in springs and pendulums, energy transformations, and resonance. By connecting theoretical concepts to practical applications, this course provides a comprehensive understanding of oscillatory and wave phenomena in science and engineering.

Course Units:

1. Fundamentals of Waves

   • Learn the basic properties of waves, types of waves, and their energy transfer mechanisms.

2. Mathematical Description of Waves

   • Explore the wave equation, graphical representation of waves, and relationships between wave properties.

3. Introduction to Simple Harmonic Motion (SHM)

   • Understand the characteristics of SHM, its mathematical description, and energy conservation.

4. Physical Systems Exhibiting SHM

   • Analyze SHM in systems such as springs, pendulums, and damped/forced oscillations.

5. Applications of Waves and SHM

   • Connect SHM and wave principles to sound waves, musical instruments, engineering, and medical technologies.