NJC Oscillations notes 2025

National Junior College Science Department | Physics 1 9. Oscillations Content Page 9.1 Simple harmonic motion ................................ ................................ ................................ ............ 3 9.1.1 Free Oscillation and Simple Harmonic Motion ................................ ................................ . 3 Examples of oscillations ................................ ................................ ................................ .............. 4 9.1.2 The Meaning of Some Terms used in SHM ................................ ................................ ..... 5 9.1.3 Simple Harmonic Motion (SHM)................................ ................................ ....................... 6 9.1.4 Equations of Motion in SHM ................................ ................................ ............................ 8 Exercise 1: Free Oscillations ................................ ................................ ................................ ..... 11 9.1.5 Graphing the equations of motion ................................ ................................ .................. 13 9.1.6 Relation between uniform circular motion and simple harmonic motion ..................... 15 9.2 Energy in oscillations ................................ ................................ ................................ .............. 17 9.2.1 Energy in Simple Harmonic Motion ................................ ................................ ................... 17 9.2.2 Expressions for Energy ................................ ................................ ................................ .. 18 9.3 Damped Oscillations ................................ ................................ ................................ ............... 23 Light Damping (Underdamped) ................................ ................................ .............................. 23 Critical Damping................................ ................................ ................................ ..................... 25 Heavy Damping (Overdamped) ................................ ................................ .............................. 25 Examples of Damping ................................ ................................ ................................ ............ 26 9.4 Forced Oscillations and Resonance ................................ ................................ .................. 27 9.4.1 Forced Oscillation ................................ ................................ ................................ .......... 27 9.4.2 Frequency Response................................ ................................ ................................ ..... 28 9.4.3 Barton's Pendulums ................................ ................................ ................................ ....... 31 9.4.4 Other Examples of Resonance ................................ ................................ ......................... 32 Exer