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Physics HL

Chapter 12: Simple Harmonic Motion

Build SHM from restoring-force conditions to sinusoidal equations, phase logic, and full energy analysis in spring-mass and pendulum contexts.

Estimated chapter time: 163 minutes

Chapter Topics

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  1. 1How to Read This Simple Harmonic Motion Chapter
    1. 1.1Why Oscillations Deserve Their Own Chapter
    2. 1.2The SHM Filter: What Must Be True
    3. 1.3How This Chapter Is Structured
  2. 212.1 Simple Harmonic Oscillations
    1. 2.1Oscillation Vocabulary That Must Stay Precise
    2. 2.2Restoring Force and the SHM Condition
    3. 2.3Graph Signatures of SHM
  3. 312.2 Details of Simple Harmonic Motion
    1. 3.1Displacement Equation and Phase Angle
    2. 3.2Velocity and Acceleration from One Model
    3. 3.3Phase Difference and Time Shift Between Oscillators
  4. 412.3 Energy in Simple Harmonic Motion
    1. 4.1Where the Energy Sits During an Oscillation
    2. 4.2Energy Versus Displacement Graphs
    3. 4.3Energy Versus Time: Why Peaks Repeat Twice per Cycle
  5. 512.4 More About Energy in SHM
    1. 5.1From x(t) and v(t) to Direct Energy Formulas
    2. 5.2Velocity as a Function of Displacement
    3. 5.3Recovering Unknowns from Maximum Values
  6. 6Chapter 12 Wrap-Up
    1. 6.1A Reliable SHM Workflow

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