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PHYS 200 - Fundamentals of Physics I

Lecture 17 - Simple Harmonic Motion. The focus of the lecture is simple harmonic motion. Professor Shankar gives several examples of physical systems, such as a mass M attached to a spring, and explains what happens when such systems are disturbed. Amplitude, frequency and period of simple harmonic motion are also defined in the course of the lecture. Several problems are solved in order to demonstrate various cases of oscillation. (from oyc.yale.edu)

Lecture 17 - Simple Harmonic Motion

Time Lecture Chapters
[00:00:00] 1. Example Equations of Oscillating Objects
[00:10:49] 2. Superposition of Solutions to Linear (Harmonic) Equations
[00:30:16] 3. Conditions for Solutions to Harmonic Equations
[00:38:57] 4. Exponential Functions as Generic Solutions
[00:50:48] 5. Undamped, Under-damped and Over-damped Oscillations
[01:00:28] 6. Driving Harmonic Force on Oscillator

References
PHYS 200: Lecture 17 - Simple Harmonic Motion
Instructor: Professor Ramamurti Shankar. Resources: Problem Set 8 and Solutions [pdf]. Oscillator Notes [pdf]. Transcript [html]. Audio [mp3]. Download Video [mov].

Go to the Course Home or watch other lectures:

Lecture 01 - Course Introduction and Newtonian Mechanics
Lecture 02 - Vectors in Multiple Dimensions
Lecture 03 - Newton's Laws of Motion
Lecture 04 - Newton's Laws (cont.) and Inclined Planes
Lecture 05 - Work-Energy Theorem and Law of Conservation of Energy
Lecture 06 - Law of Conservation of Energy in Higher Dimensions
Lecture 07 - Kepler's Laws
Lecture 08 - Dynamics of a Multiple-body System and Law of Conservation of Momentum
Lecture 09 - Rotations, Part I: Dynamics of Rigid Bodies
Lecture 10 - Rotations, Part II: Parallel Axis Theorem
Lecture 11 - Torque
Lecture 12 - Introduction to Relativity
Lecture 13 - Lorentz Transformation
Lecture 14 - Introduction to the Four-Vector
Lecture 15 - Four-Vector in Relativity
Lecture 16 - The Taylor Series and Other Mathematical Concepts
Lecture 17 - Simple Harmonic Motion
Lecture 18 - Simple Harmonic Motion (cont.) and Introduction to Waves
Lecture 19 - Waves
Lecture 20 - Fluid Dynamics and Statics and Bernoulli's Equation
Lecture 21 - Thermodynamics
Lecture 22 - The Boltzmann Constant and First Law of Thermodynamics
Lecture 23 - The Second Law of Thermodynamics and Carnot's Engine
Lecture 24 - The Second Law of Thermodynamics (cont.) and Entropy