Suppose, a cylinder is placed on its lateral side at the edge of a table, carefully, so that the slightest push makes it fall from the table. We give it a gentle push. And it begins to fall. How is its motion?
My efforts: A slight thought reveals that the rod will initially turn about the edge (the edge is the axis), until it looses contact with the table. Then the only force on it is the force of gravity, so its CM falls down in a straight line. But we cannot ignore the fact that it was rotating about the edge of the table. What happens to that and why? It cannot continue rotating about that axis, 'cause that would make the CM also rotate, which should actually come down in a straight line. But its angular velocity also cannot disappear instantaneously.