Tuesday, 28 May 2024

A Level Further Maths: Simple Harmonic Motion - SHM: Light Damping

A Level Further Maths: Simple Harmonic Motion - SHM: Light Damping
The following example shows how to model light damping by using a second order differential equation. The second-order differential equation modelling light damping is given by: \[ \ddot{x} + 0.5 \dot{x} + 4 x = 0 \] The characteristic equation is: \[ m^2 …