       Links to supporting pages and teachers' resources Background to Oscillations Inertia plus a restoring force produces oscillations. The mechanical equation for Simple Harmonic Motion. Initial conditions. Cyclic and angular frequency. Mechanical and kinetic energies. The simple pendulum. A nonlinear pendulum. Damped oscillations. Forced oscillations. Resonance in one, two and three dimensions. includes Helmholtz Oscillator Strings, standing waves and harmonics Chladni patterns Inertia and the second law Kinematics of Simple Harmonic Motion Hooke's law and elasticity Revise calculus Solving Differential Equations Methods for solving differential equations. First order with constant coefficients. Second order and simple harmonic motion. Damped and forced oscillation. Partial differential equations: the wave equation. Phasor addition Phasor representation of Simple Harmonic Motion. Adding phasors with different amplitudes and phase but equal frequency. Constructive and destructive interference. What if frequencies are different? Phasor and Lissajous representations compared. Laboratory Downloads (thumbnails at 50% of size of animation)   Download (.zip) Download (.zip) Download (.zip)   Download (.zip) Download (.zip) Download (.zip)   Download (.zip) Download (.zip) Download (.zip)   Download (.zip) Download (.zip) Download (.zip)   Download (.zip) Download (.zip) Download (.zip)  Download (.zip) Download (.zip)  Download (.zip) Download (.zip)   Download (.zip) Download (.zip) Download (.zip)