8 Oscillations

8.1 KINEMATICS OF SHM
8.1.1 x-t Equation
8.1.2 v-t and a-t Equations
8.1.3 v-x and a-x Equations

8.2 DYNAMICS OF SHM
8.2.1 Restoring Force
8.2.2 Natural Frequency

8.3 ENERGY OF SHM
8.3.1 Derivation of TE Formula
8.3.2 SHM Energy in time-domain
8.3.3 SHM Energy in the x-domain

8.4 DAMPED OSCILLATIONS
8.4.1 Light, Heavy and Critical Damping
8.4.2 Practical Applications of Damping

8.5 RESONANCE
8.5.1 Forced Oscillation
8.5.2 Resonance Curve
8.5.3 Effect of Damping on Resonance

APPENDIX A:           
Angular Frequency vs Angular Velocity

APPENDIX B:           
Natural Frequency of Simple Pendulum (Beyond Syllabus)

For the PDF version, click here.

Demonstrations: Click here

Explanation Videos: Click here

Animations: Click here

Applet:
Damped Oscillation: {ngsir applet}
Resonance: {ngsir applet}
Resonance: {walter fendt applet}

Damping Graphs: Click here