Consider a pendulum in it's balance point hanging from ceiling. It can swing in all the directions in the space. The pendulum can only swing in a sphere(the string can't bend). Now, is it possible to release the pendulum in a particular height and with a initial condition that in the first go(the same height as the first place) it doesn't pass the balance point but in the return it does? (don't count air or friction) If it is possible what initial conditions and height(s) are required? If not why?