Links to supporting pages  
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.
Laboratory

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