Okey, so the problem started with a ball in circular motion on a table (xy-plane, seen from above). Eventually the rope that held the ball snapped and the ball continued on (no friction/air resistance) with constant velocity in x-direction. Gravity working in negative z-direction, just too clarify.
Starting velocity x-dir. : 0.5m/s (constant, from when the rope snapped)
Starting velocity z-dir : 0
Distance from were the ball snapped too the edge: 0.5m
Suppose you now turn the table in such a way that there always is ("barely") contact
between the ball and the table, but there is no force between them.
So my problem:
How long does it take before the ball falls off the table?
The situation starts when the rope snapped (time=0)
The Attempt at a Solution
Well I have been really stuck on this. I have been trying to express the angle of the table, function of gravity. Also tried using pytagoras too express z-x in the motion equations. Since I know that the hypotenuse is 0.5m. Tried and failed alot really.
If anyone have any suggestions or how I can express this, that would be appreciated.