Solving Quadratic Equations with Complex Roots What are complex roots? Complex numbers provide solutions for quadratic equations which have no real roots Complex roots occur when solving a quadrat...
Cartesian Form of Complex Numbers Complex numbers are a set of numbers which contain both a real part and an imaginary part. The set of complex numbers is denoted as . What is an imaginary number? ...
Damping & Plastic Deformation Damping an oscillator affects its amplitude of oscillation: When damping is increased the amplitude decreased damping and amplitude are inversely proportional to e...
Resonance Graphs A graph of driving frequency f against amplitude A of oscillations is called a resonance curve. It has the following key features: When f < f0, the amplitude of oscillations inc...
Free & Forced Oscillations Free Oscillations Free oscillations occur when there is no transfer of energy to or from the surroundings This happens when an oscillating system is displaced and the...
Damped & Undamped Oscillating Systems In practice, all oscillators eventually stop oscillating Their amplitudes decrease rapidly, or gradually This happens due to resistive forces, such ...
Core Practical 16: Investigating Resonance Aim of the Experiment Determine the value of an unknown mass by a graphical method by using the resonant frequencies of the oscillation of known masses Va...
Resonance The frequency of forced oscillations is referred to as the driving frequency, f, or the frequency of the applied force All oscillating systems have a natural frequency, f0, this is define...
Velocity-time graph for an oscillator The velocity of an object in simple harmonic motion can be represented by a graph of velocity against time Key features of the velocity-time graph: It is 90o o...
