(Solved): 111. Consider the system of Figure P1.111. (a) Write the equations of motion in terms of the angle ...

111. Consider the system of Figure P1.111. (a) Write the equations of motion in terms of the angle, $$?$$, the bar makes with the vertical. Assume linear deflections of the springs and linearize the equations of motion. (b) Discuss the stability of the linear system's solutions in terms of the physical constants, $$m,k$$, and $$l$$. Assume the mass of the rod acts at the center as indicated in the figure. Figure P1.111