# Pendulum's equilibrium

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1. Dec 7, 2014

### walter1998

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?

2. Dec 7, 2014

### Staff: Mentor

What do you think?

3. Dec 7, 2014

### walter1998

I think it is possible but i cannot prove it; I'd be glad if you could guide me or more glad if you solve it.

4. Dec 7, 2014

### Staff: Mentor

In which way?

Also, how would the time-reversed process look like?

What do you know about angular momentum?

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