Learning Objective: Apply Lagrange's equations to determine the EOM of a SDOF system.

Given: The structure shown below. The system has properties: $m=30kg$ and $k=35\frac{N}{m}.$

The inertia of the bars cannot be ignored. They have properties $h=0\mathrm{.}5m$ and $d=0\mathrm{.}2m$ with mass $m_{OA}=3kq$ and $m_{Om}=2kq.$

Find: $1)$ Define T$,$ V and R for Lagrange's Equations. $2)$ Determine the EOM using Lagrange's equation.

Sol'n: