How do I write a complex number in modulus-argument (polar) form? How do I multiply complex numbers in modulus-argument (polar) form? The main benefit of writing complex numbers in modulus-argument...
Energy in SHM During simple harmonic motion, energy is constantly exchanged between two forms: kinetic and potential The potential energy could be in the form of: Gravitational potential ene...
What does addition look like on an Argand diagram? In Cartesian form two complex numbers are added by adding the real and imaginary parts When plotted on an Argand diagram the complex number z1 + ...
What is the complex plane? The complex plane, sometimes also known as the Argand plane, is a two-dimensional plane on which complex numbers can be represented geometrically It is similar to a two-d...
How do I find the modulus of a complex number? The modulus of a complex number is its distance from the origin when plotted on an Argand diagram A modulus is never negative What features should I k...
Harmonic Oscillators in Context Any oscillations about an equilibrium where its restoring force is proportional to its displacement will be simple harmonic This doesn’t apply just to pendulu...
What is an imaginary number? What is a complex number? What is Cartesian Form? There are a number of different forms that complex numbers can be written in The form z = a + bi is known as Cartesian...
Period of Simple Pendulum A simple pendulum is another type of simple harmonic oscillator The pendulum consists of a string and a bob (a weight, generally spherical) at the end The ti...
Period of Mass-Spring System A mass and spring system is a type of simple harmonic oscillator The time period of a mass-spring system is given by: Where: T = time period (s) m = mass (kg) k ...
