This physics video tutorial explains the concept of simple harmonic motion. It focuses on the mass spring system and shows you how to calculate variables such as amplitude, frequency, period, maximum velocity, maximum acceleration, restoring force, spring constant k, elastic potential energy, kinetic energy, and mechanical energy in addition to describing the motion of the mass spring system using a sinusoidal function such as sine or cosine. This video contains plenty of examples and practice problems.

Here is a list of topics:

1. Simple Harmonic Motion - SHM Horizontal & Vertical

2. Vibrations, Oscillations, and Periodic Motion

3. Simple Harmonic Oscillator - SHO

4. Restoring Force and Equilibrium Position

5. Hooke's Law of Springs - Force vs Displacement

6. Work Required to stretch or compress a spring

7. Stiff vs Loose Springs - Spring Constant K - Proportionality Constant

8. Maximum Displacement and Amplitude

9. Cycles and Vibrations - Period and Frequency Calculations

10. Work Force Displacement Graphs - Area Under Curve - Calculus & Integration

11. Elastic Potential Energy of Springs

12. Maximum Kinetic Energy vs Minimum Velocity

13. Mechanical Energy - Total Energy of the Spring-Mass System

14. Maximum Velocity Formula

15. Maximum Acceleration Equation

16. Velocity Function of X - Displacement Equation

17. Sinusoidal Functions - Describing the Motion of a Oscillator Mathematically Using Sine and Cosine Functions

18. Finding Amplitude, Period, and Frequency From Sine and Cosine Functions

19. Writing Sine and Cosine Functions For Position, Displacement, Velocity and Acceleration

20. Simple Harmonic Motion and Circular Motion

21. Period, Frequency, Mass, and Spring Constant K Formulas

22. Car Spring Problem

23. Spider Web Spring Problem

24. SHM - Position Function of Time

25. Omega - Angular Velocity and Frequency

26. Position, Velocity and Acceleration Sinusoidal Functions - Derivatives and Calculus

27. Damped Harmonic Motion - Overdamped, Underdamped, Critical Damping

28. Forced Vibrations and Resonance

29. Natural Frequency vs Resonant Frequency

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