Watch the companion video on pendulums here: https://nebula.tv/videos/the-efficient-engineer-the-oscillation-of-pendulums In this video we take a look at how vibrating systems can be modelled, starting with the lumped parameter approach and single degree of freedom models. We then go on to look at damping, the dissipation of energy that occurs in all real systems, as well as forced vibration, resonance and multiple degree of freedom models. --- ERRATA: - At 04:16, the terms sqrt(k/m) appears not in the equation of motion, but in the solution to the equation of motion --- For further reading I'd recommend the following: - J. L. Humar - Dynamics of Structures --- The Efficient Engineer is a channel aimed at mechanical and civil engineers. The mission is to simplify engineering concepts, one video at a time!Follow me on Twitter: https://twitter.com/efficiengineer --- If you would like to support the channel, please consider becoming a Patron - https://www.patreon.com/efficientengineer. This will allow me to create more high quality videos covering a range of engineering topics.