Advanced dynamics. See attached file for full problem description.© BrainMass Inc. brainmass.com September 26, 2018, 10:35 am ad1c9bdddf - https://brainmass.com/engineering/mechanical-engineering/lagrange-method-mechanical-vibration-107725
Solution to a mechanical vibration can be obtained using several ways. One of them is by considering a energy conservation in the system when no energy losses such as friction is present in the system. this is named as "Lagrange's method". When the system is complicated it is difficult to analyse part by part and find the natural frequency. This method solves that problem.