Is it possible to have animations and physics at the same time?

Hi , does anyone know if it is possible to have an object that is playing its animation but also falling to the ground with gravity on. Simple as that really.

The collisions i presume would be created from the Physics asset? I can get the animation to play in the physics asset with the collisions following the mesh but i dont know if its even possible to then have gravity on at the same time and have the object on the floor playing animations. If some one knows if this is possible please help.