The apple

A simple apple resting on top of a table. The apple could simply be a pressure point on top of the table. But what if instead of having a rigid support the apple was resting on top of an elastic surface? Depending if we want to know the transient between oscillation (transient) to final static resting position (static structural). I know that can try my luck with FreeCAD and Calculix to study stationary problems but what about explicit methods for transient analysis?

The Apple
The Apple