The system shown in Figure 6.67 consists of two linear springs with stiffnesses \(k_{1}\) and \(k_{2}\) and a uniform bar of mass \(m\) and length of \(2 L\). If the force \(F\) is acting at a distance \(a\) from the centerline as shown, derive Lagrange's equation of motion. Assume small motions.

Transcribed Image Text:

k mo ooooo b b m k a Figure 6.67: A bar restrained by two springs with asym- metric load.