Introduction to simple harmonic motion review (article) | Khan Academy

Simple Harmonic Motion (SHM) Overview

• Oscillatory Motion: Defined as repeated back-and-forth movement over the same path around an equilibrium position (e.g., pendulums or mass on a spring).
• Restoring Force: A force that acts in opposition to displacement to return a system to its equilibrium position. Its magnitude is dependent on displacement (e.g., Hooke’s Law).
• Simple Harmonic Motion (SHM): A specific type of oscillatory motion where the net force acting on the system is a restoring force.
• Key Mathematical Concepts:
  • Spring force magnitude is directly proportional to the spring constant and displacement.
  • Displacement as a function of time is proportional to amplitude and the cosine of the phase.
• Core Analytical Topics:
  • Relationships between force, displacement, velocity, and acceleration.
  • Interpretation of period and frequency graphs.
• Conceptual Takeaways:
  • At maximum displacement (where velocity is zero), the restoring force is at its maximum, not zero.
  • SHM systems are often analyzed using position-time, velocity-time, and acceleration-time graphs.