Show that the frictionless cart and pendulum have two equilibrium points when the input u(t) = 0, t ≥ 0, namely,                           and verify by using Simulink that the first equilibrium point...

Show that the frictionless cart and pendulum have two equilibrium points when the input u(t) = 0, t ≥ 0, namely,

and verify by using Simulink that the first equilibrium point is unstable and the second one is stable. Is the second equilibrium point asymptotically stable?