(Solved): The static equilibrium position of a massless rigid bar, hinged at point O and connected with spri ...

The static equilibrium position of a massless rigid bar, hinged at point $$\mathrm{O}$$ and connected with springs $$\mathrm{kg}$$ and $$\mathrm{Ky}$$, is shown in Fig. 1.74. Assuming that the displacement (x) resulting from the application of a force Fat point $$A$$ is small, find the equivalent kinetic energy that relates the applied force $$F$$ to the displacement $$x$$ as $$F=kex$$. FIGURE $$1.74$$ Rigid bar connected by springs.