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
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 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.
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