So there is a stone ball that has a diameter of about 1.3m and it fits in a hemispherical shaped stone cup almost exactly. The ball weighs at least a ton. There is also a water jet at the bottom of the cup so that the stone ball is suspended on a thin film of water, making the friction of the ball with the cup almost 0. The ball is easy to set in motion and once set into motion, it continues to rotate in the direction you start it for a long time. Suppose you can only access the ball from near the top and you can make the ball rotate along any horizontal axis but you do not have enough grip to make it rotate around the vertical axis.
Can you make the ball rotate around the vertical axis anyway?
i think the answer is yes but i came up with the answer without really writing anything down. is this the correct answer?
Sorry if this might be in the wrong section. this was a challenge problem in my linear algebra book.