- #1

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## Homework Statement

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.

Mass:

**0.01kg**

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.

Thank you