In casting metal alloys, would you expect columnar or equiaxed dendritic formation to occur if the mold were agitated (vibrated) aggressively after the molten metal had been in the mold for a sufficient period of time to form a skin?

The part would cool more quickly because the vibration would induce convection within the metal that would increase heat transfer and would induce convection at the mold exterior/atmosphere interfere.
Dendrite formation would be reduced as the agitation would continuously break them up as them formed in the slushy phase.

Mass is the amount of matter in an object.  weight is the measurement of the pull of gravity on an object.  say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165)  now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon.  however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant.  in conclusion it is possible for your weight to change as your mass remains constant.