Imagine an object floating in space with no significant gravitational forces. We poke the object a few times from various angles. It will end up spinning in a certain way.
Is it the case that this "spin" will always be a constant angular velocity about a particular axis?
My gut feeling is that the answer is yes, especially due to Euler's rotation theorem.
I tried to prove it by first simplifying the object to a sphere. Then saying that a particular point on the sphere must follow a path that never crosses itself -- because the "next" and "previous" points are always unique, a crossing would indicate that a certain point has 2 potential "next" points. Therefore you have a bunch of parallel paths which run parallel to an axis. This doesn't really feel like a solid proof though. (What if there is a wobble that results in a series of wobbly lines that don't cross.)
Is it correct to say that every "poke" to the object applies a torque, and the torque vectors can simply be added up to result in the final angular velocity?